diff --git "a/data/dm_maths/full_data_1/2287_11255.jsonl" "b/data/dm_maths/full_data_1/2287_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2287_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 1118 + -441. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 + (-2 - -1). Suppose -4*m + 4*b + 0*b = -112, 0 = 2*m + 5*b - 91. Suppose n = -2*l + m + 7. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 2, r: 1, g: 1, y: 1, u: 1}. Give prob of sequence zu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:01 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(33) - sqrt(528)) - sqrt(33))\/(sqrt(3)*1*-5).\nAnswer: 7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111c (base 14) to base 13\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*h*l**4 + 6*h*l**2 - 2*h*l + 127*l - 7 wrt l.\nAnswer: 1548*h*l**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2589042*u**4 - 71380*u**2 - 3*u + 3 wrt u?\nAnswer: -62137008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19303436 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197.98524 + 198. Round i to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*-13*(-3304)\/9912.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m - 12 = -21*m. Calculate the common denominator of (((-66)\/10)\/m)\/(2\/25) and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201720 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 511*s. Let w(v) = 12660*v. Determine w(b(d)).\nAnswer: 6469260*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -6, 5, -4 in descending order.\nAnswer: 5, 2, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 2*o + 1. Let x(y) = -y**2 + y. Give -d(a) + 4*x(a).\nAnswer: 2*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/3 + 3*d**2\/2 - 9*d + 9. Let p be z(-4). Which is the second biggest value? (a) p (b) -1\/2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163590194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49255*r**2 + 299859*r**2 - 46*r + 28*r + 18*r.\nAnswer: 349114*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1427 - -1436. Solve i*q - 6*q = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28462\/(-1425) - (21 + -41).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3031*w. Let o(u) = -12*u**2. Give o(l(p)).\nAnswer: -110243532*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2*j**5 + j + (-11*j - 15*j**2 + 11*j)*(3*j**2 + j**2 - 2*j**2)*(2*j + 5*j - 3*j).\nAnswer: -122*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19\/4 (b) 5 (c) -1\/3 (d) 0.3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/30*(2758\/238 - 11)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 - -171. Let i = 13 - 37. Let o = v + i. What is the third biggest value in 4\/5, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + 12. Suppose 0*s + 3*s - z = 0. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 0, 0*u - 2*u = 4*a - 16. Let m(x) be the first derivative of -1 - 1\/8*x**u + 1\/12*x**3 + 0*x. Factor m(z).\nAnswer: z*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 6*k**2 - 1\/30*k**5 + 0 + 0*k**4 + 0*k + 0*k**3. Let t(x) = -11*x. Give t(h(d)).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 4*s - 7. Let n(i) = -i**2 - i - 1. Let l(g) = 5*n(g) - t(g). Let z be l(2). Let k(j) = -3 - 5*j - 4 + z + j**2. What is k(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15958 divided by -430\nAnswer: 7979\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -118 (b) -3 (c) 1\/41 (d) 7929\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -20*h + 60. Let s(r) = 5*r**3 - 15*r**2 - 17*r - 11. Let g(b) = 2*b**3 - 7*b**2 - 8*b - 5. Let d(j) = h*s(j) - 14*g(j). Solve d(t) = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*g - 5*g - 5*y, 212 = -5*g + 2*y. Let t = g - -52. What is the highest common divisor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of ((-46900)\/750 + 1\/5)*-117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = x + 102, a - 502 = 4*x + x. Let k = x - -293. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26680733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/(y\/(y**4\/y))))\/y)\/(y*y**(-15)))\/((y\/(y*y**(2\/3)\/y*y))\/y)**(-26\/3))**(-3) assuming y is positive.\nAnswer: y**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*v + 154. Suppose -3*r + v = -307. Let a = r - 73. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 149*u - 74*u + 5 - u**2 - 75*u. Let j be v(0). Suppose -158 = -j*w + 292. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwwdddwddddddd. Give prob of picking 3 d and 1 w.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**4 + 4*m**3\/3 - 3*m + 499. Let i(g) = g**2 - 1. What is -3*i(n) + j(n)?\nAnswer: 8*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 591 = -s. Let z = -1357 - -1362. Suppose -z*r = v - 118, -2*v = 2*r - 5*r - s. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561715 is divided by 561598.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -12. Let d = -1 + o. Calculate the remainder when 11 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let m(b) = b**2 - 13*b + 1. Let h be m(13). Suppose -5*a + 4 = -h. Let q be j(a). Solve q*r = 4*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**2 - 483*z - 51*z - 10*z - 65*z - 46*z + 165 = 0. What is z?\nAnswer: -33, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720796.\nAnswer: 2, 79, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n - 14*n - 16*n.\nAnswer: -74*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68145 is divided by 13598?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/((-20)\/4*9\/(-180))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**27\/(q**(-12)\/(q*q**(-14\/9))) assuming q is positive.\nAnswer: q**(265\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 + 1.4. Let f = 0.95 + q. Let n = -0.9 - f. What is n rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737581, -1475150, -2212719, -2950288, -3687857?\nAnswer: -4425426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -4.4. Let s = 0.4 - r. Let d = s - -13.99999. Round d to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6 (base 14) to base 9.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1418448, 1418450, 1418454, 1418460, 1418468, 1418478?\n\"Answer: p**2 - p + 1418448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*o + 31. Suppose -4*p + q + 58 = 0, -p = o*q - 2 - 4. Suppose 18*g = p*g + 124. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4362691, 4362694, 4362697, 4362700?\nAnswer: 4362703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -361841*b*l*z**2 - 7116*b*l + 4*b - 83*l*z - 2*l - 87 wrt z?\nAnswer: -723682*b*l*z - 83*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6167, -6185, -6203, -6221?\nAnswer: -6239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - w - 39 = 0, -4*n + 6470*w - 12 = 6467*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y**2 - 14*y. Calculate the remainder when z(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) + (277705\/(-25) - 0). Is (k\/(-24))\/(2\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 0. Suppose 15 = -2*f + m*f. What is the least common multiple of 21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/7))**(-50))**(-1\/32))**26 assuming j is positive.\nAnswer: j**(-325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 49. Let f be w(12). Suppose 4*g - f = -11. Suppose 479 = 6*c - g*c - 2*t, 3*t = 5*c - 798. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -316961*j**3 - 1. Let q be l(1). Let g be q*-6*(-4)\/(-512). Let z = g + -14856. Find the common denominator of z and -101\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10805, -10832, -10859, -10880, -10889?\n\"Answer: t**3 - 6*t**2 - 16*t - 10784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 - -4. Let g = f - 0.49. Let p = g - 0.01. What is p rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38671020 divided by 354780?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 2 c when four letters picked without replacement from {c: 6, w: 1, x: 1, z: 2, u: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32609817 is divided by 572101.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20397*l - 4711702. Determine c(231).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214458731*l**2*n**2 + 62*l*n**2 - 393640 wrt l?\nAnswer: 428917462*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03081261 rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -886226*i**5 - i**3 + 1395*i**2 - 1612*i wrt i.\nAnswer: -53173560*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251686642 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10776 - 121630?\nAnswer: -110632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17945 and -4.52?\nAnswer: 81111.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1239 + 1?\nAnswer: 123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348545.\nAnswer: 5, 69709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/2 + 83613*g\/2 = 0.\nAnswer: -83613, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -4*v**7\/35 + 25*v**3\/6 + 40*v**2. Differentiate k(b) wrt b.\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + l + 3*l)*(-314*l**3 + 15603*l - 31264*l + 15620*l) to the form o*l + k*l**3 + q + u*l**2 + t*l**4 and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*x + 42 = 0, -5*s + 3*x = -0*s - 70. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 4. Let g(j) = -10 + 5*j**3 - 5*j**3 + q + j**3 + 8*j**2. What is g(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 512.495 * -8.\nAnswer: -4099.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f - 27. Does 3 divide g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 188, 286, 384?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.77072735 to four decimal places.\nAnswer: 3.7707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 4*d - 2. Let n be g(2). Let z(u) be the third derivative of -91*u**6\/120 - u**5\/60 + 5*u**4\/24 + 5*u**3\/6 + 64*u**2 + 2. Is z(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 10 - (13 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -18\/13, 2\/23, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-71)\/(-20) + 36\/180)*16\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = u. Suppose -u*j - j + 4*k = -28, -3*k - 26 = -5*j. Solve -j*b + 5 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-3))\/((-2)\/(-8)))\/(10\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (108\/45)\/(-2 - 78\/(-30)). Let p(s) = -4*s + 48. What is p(x)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/21))**(-25) assuming h is positive.\nAnswer: h**(-575\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 9, y: 5}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6918*b**4*d**2 - 1479*b**3*d**2 - 2*b**2*d**2 + 60*b**2 - b*d**2 + 43*b*d - 11*b + 7 wrt b.\nAnswer: -166032*b*d**2 - 8874*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 334.547 to the nearest integer.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -600.3 - -601.3172. Round i to two decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*u**3 + 56*u**3 + 207*u**2 - 25*u**3)*(-1 - 3 - 1)*(3 + 4 - 3).\nAnswer: 40*u**3 - 4140*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/400334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0972403ml in litres?\nAnswer: 0.0000972403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/5 + 1083558*t**2\/5 - 3684220*t - 19504656\/5 = 0. Calculate t.\nAnswer: -541796, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000640612 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(432) + -1)**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -4\/7, 0.5, 2 in ascending order.\nAnswer: -1, -4\/7, -0.5, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1215 + -13?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwwmmmouw. Give prob of sequence um.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*3 + sqrt(88) - sqrt(88)*2*4)\/(-2*sqrt(968) + sqrt(968) - (sqrt(72) + sqrt(8))*1).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202561 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 14*i + 2 = 0. Suppose 3*h = -h + 312. Suppose 79*g = h*g + 2. Solve -i*s + 0 = 4, -g*j = -5*s - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-15656)\/792 - 2\/9\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 6, b: 8}. Give prob of picking 1 y and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-10 - -1)) + (-12 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12950 + 20774. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15 - (-57)\/15. List the prime factors of (2*-1)\/(s\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24528154 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 265274800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4239405, -1, 0.1 in descending order.\nAnswer: 0.1, -1, -2, -4239405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 times 439?\nAnswer: -453926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 471871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h + 1148 = 93*h - 53*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u**(5\/2)*u)\/u)*u**6*(u*u**(-3))\/u*u**(-3)*u assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + n + 3)*(5*n - 6*n - n) + 11 + 10*n**2 - 11)*(-n**2 + n**2 + 6*n**2) to k*n + b*n**4 + t*n**3 + h*n**2 + a and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10552*c**2 - 39 - 34 + 10553*c**2.\nAnswer: c**2 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -81297745.\nAnswer: 81297746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80.86 - 1.14. Let w = x + 81.9923. Round w to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1379 and 125883?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t + 36 = 0, 2*r + t + 3*t - 82 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4\/14)\/((-40)\/280). Let x be (-2 + q)*2\/2 + -1. Calculate the lowest common multiple of 48\/21 + -2*x\/(-7) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, -2\/41, 0.7, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3)*906\/10570.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 4*n = -34*t + 171520, -n + 85745 = -2*t. Round t to the nearest 100.\nAnswer: -42900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 10*z**2 - 3*z - 8. Let w(m) = 5*m + 7. Let i be w(-1). Suppose t + 7 = -i*l - 10, -t = -l - 13. What is the tens digit of q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a4ae (base 15) to base 5.\nAnswer: -103033224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16441 - -16966. Calculate the remainder when a is divided by 81.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 - 1 - (-1706 + 1710)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 2. Suppose -g = 3*c - 17, 387*g = -3*c + 388*g + 19. What is the remainder when u(2) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from {q: 1, p: 2, s: 2, y: 6, a: 5, f: 3}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 10777530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 572451 by -10043.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 1.93. Which is the closest to 0.4? (a) m (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(16\/(-120)). Suppose -l + i = 2. Suppose 0 = z - l*z + 80. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5*1*2525\/2020?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 26*d + 240. Calculate b(10).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1000*a**2 - 892*a**2 + 961*a**2 + 7*a + 1)*(a**2 - a**3 - a**2).\nAnswer: -1069*a**5 - 7*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v = 5*z + 181, z + 91 = 5*v + 38 + 42 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 - (3 + 3))) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1304 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77530 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y**2)*(17*y - 4*y + 6*y).\nAnswer: -38*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 divided by 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 8. Let f be (-3 - -2)*(w - 5). What are the prime factors of (-31)\/(((-12)\/f)\/4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 6\/17, 10, 5\/3, 1, 1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/2447?\nAnswer: 12\/2447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 1911, 4313, 7687, 12039, 17375?\nAnswer: 23701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 6:18 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - k)*(-40 + 10 - 7) + 4*k + 4*k + 0*k + (3 - 4 + 2)*(-4*k + 0 + 0) + 0*k + k - 3*k.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3226 - 3141. Solve -92*s + m*s - 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.4673*-270.\nAnswer: 2016.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 13*x - 600 = 3*a, 24 = -19*a + 15*a - x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 602\/10 - 4\/20. Suppose -26 = -3*v + 5*r, -3*r = -5*r + 4. Calculate the greatest common divisor of i and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = o - 5, -889 = 5*f - 2*o. Let t = -161 - f. Calculate the common denominator of -6\/5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 41 - 16. Suppose 0*i + 20 = j*i. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -3*i. Suppose 4*l - 8 = i*f, -7*f = -2*l - 12*f + 4. Solve -l*b + 0 = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + 22*s + 10. Let g be z(-5). Solve g = -2*a - 14 + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/112*-7 + (7\/30 - (-27)\/45)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f. Let b(v) = 1437*v. What is b(k(d))?\nAnswer: 5748*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let f = -2 + 1.9. Sort 2\/15, f, m in decreasing order.\nAnswer: m, 2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*n = -112*n + 115*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18679, 37338, 55997?\nAnswer: 74656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 5345\/1464?\nAnswer: 5345\/1464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d**2 + 1981*d - 20819. Determine b(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/27)\/(j*j**(-8)*j))\/(j**(2\/27)\/j*j*j*j**2*j) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 23629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558125653 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413 + 408. Suppose -3*a = 2*a - 20. Sort -1, 3, a, m in ascending order.\nAnswer: m, -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 2. Let s(i) = -8*i - 5. Let c(o) = -4*s(o) - 11*w(o). What is c(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2. Let w(r) = -4*r**2 + 0*r**2 + 16*r**2 + 8*r**2. Give m(w(s)).\nAnswer: 1200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -55*g + 290. What is s(8)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4850533*a**4 + 6030361*a wrt a?\nAnswer: 58206396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.418 - 0.038. Let t = i - 0.483. Round t to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 4*k - 3*k + (-2 + 5 - 1)*(-k + k - 2*k) - 22 - k + 8 + 8 in the form s*k + b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4620*i + 8.\nAnswer: -4620*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -781*l**2*t**3 - 319*l**2*t**2 - 5*t**2 wrt t?\nAnswer: -4686*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/7 + 13\/21. Let p = -6 + 6.4. Sort -5\/6, p, s in decreasing order.\nAnswer: p, s, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3613380?\nAnswer: 7226760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4003130 - 211?\nAnswer: 4002414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + (-2*sqrt(128) - sqrt(128))))**2 - (4*(sqrt(128) + sqrt(128)*-1 + sqrt(128))**2 + 0).\nAnswer: -1536*sqrt(2) + 17984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 3*w + 0*w)*(w + 1 - 1)*(4 - 4 + 9*w) + 2*w**3 + 2*w**2 - 2*w**2 as c*w**3 + i + n*w**2 + m*w and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhp. Give prob of picking 1 p and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16931*o - 16931*o + 1575*o**2.\nAnswer: 1575*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-5 - (12 + -14 - 17) - -3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 11, -17, 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**2*y + 8407*x**2 + 2*x*y - 79962*y wrt x.\nAnswer: -4*x*y + 16814*x + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/69)\/((-18)\/(-135))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let h(m) = 4*m**2 + 35*m + 282. Let r(t) = t**2 + 12*t + 94. Let n(x) = 2*h(x) - 7*r(x). Let o be n(19). Sort 0, w, o in decreasing order.\nAnswer: o, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*q**4\/11 + 3500730*q**3\/11 - 1145652*q**2 + 1222016*q - 4480704\/11 = 0. What is q?\nAnswer: 4\/5, 2, 70011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmmmmy?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 18*b. Is b bigger than -5\/82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/3 + 20*n**2 + 60*n + 160\/3.\nAnswer: 5*(n + 2)**2*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18759)\/(-12506))\/((-15)\/(-24)*(-6)\/31).\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96313 and 15.\nAnswer: 1444695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2 + 13*g + 50 wrt g?\nAnswer: 6*g + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -17 + 14 - (1 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let r be (-2)\/2*-1*k. Let v be 17\/r - 6\/15. Solve 3*c = -v*m + 30, 0*m + 4*m + c = 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 22946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q**2 + q - 1. Let h be (-1)\/(((-1)\/2)\/(2\/4)). Give k(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.8, -2\/7, -5, 4, -64?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5850 = 31*a - 13*a. Suppose a = 10*c + 115. Solve -2*v + c = 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(11) + (sqrt(11) - (sqrt(11) + -1)) - sqrt(11)))**2 - ((sqrt(275) - sqrt(11))**2*-1 + 1*sqrt(891)).\nAnswer: -9*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/((-147)\/98*64\/6960)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a23 (base 11) to base 5.\nAnswer: -14420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -15) + -16 + 1 + (-110 - (-2 + 2)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27901116*a - 10311828?\nAnswer: 27901116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 11:40 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/12, -5, 3, 39, -22, -0.4?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11496\/100 - (-19)\/475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467 + -466. Let a be 11\/(-11) - (-10)\/(-28)*-2. What is the nearest to f in -15, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (26\/14 - 6\/(-42)) + 1. Solve -4 = -p*s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 - x + 1. Suppose 24 = -17*z + 13*z. Let f(t) = -7*t**3 + 6*t**2 - 4*t + 6. What is z*y(v) + f(v)?\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 521700 and 44400.\nAnswer: 2086800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, 1, 37, 109, 229, 409, 661, 997?\n\"Answer: 2*f**3 - 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x + 1. What are the prime factors of t(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9327, 9572, 9817, 10062, 10307?\n\"Answer: 245*s + 9082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 99 - 85 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((-4)\/(-30)). Suppose -4*m - 6*n = -n + 43, -4*m + t*n - 53 = 0. Is 14 a factor of 4 + 4\/(-2) - m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-3075)\/50)\/41)\/((-18)\/2))\/(4\/(-456)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5621, -11242, -16863, -22484, -28105, -33726?\n\"Answer: -5621*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1804725, 1804744, 1804777, 1804830, 1804909?\n\"Answer: m**3 + m**2 + 9*m + 1804714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (15 - -25) + -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456683719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664850 is divided by 420?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4658 divided by -4322.\nAnswer: 2329\/2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -59840?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-682)\/(-99) - (-20 - 2040\/(-108))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 + 20 - 8 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8033 - 8037. Is u at least as big as -560\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1400661254 by 5.\nAnswer: 1400661254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 5*j. Let f be (4 + j)*(-1)\/(-2). Solve 5*t - 4*l = -9*l, t = -f*l + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254\/81 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/2)\/(2\/4). Suppose -4*y + 19 = -5. Let p be 1\/((-2)\/y - 16\/(-30)). Solve -p*m - u = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5*1)\/((-1974)\/(-705)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/24 - -13\/72. Which is the nearest to 0.08? (a) z (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5092 less than -5066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**2 + 166 - 39 - 26*m**2 + 35*m**2 to the form y*m**2 + z + i*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 926 + -925.6. Let z be (-33)\/90 - 15\/((-900)\/(-8)). What is the nearest to z in -1, u, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 1. Let l be j(2). What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4915586516 and -113.707.\nAnswer: 4915586402.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -5\/2*f**3 + 116*f + 0 + 0*f**2. Give d(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*4)\/((sqrt(81)*2)\/sqrt(9)) - (2*(sqrt(11) - (-2 + sqrt(44) + sqrt(11)) - sqrt(11)) + -2*sqrt(44)*-3).\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 60.1, 0.5, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = k. Suppose 5*f = -5 - 45. Let m = 72\/7 + f. Which is the nearest to k? (a) m (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -20, -46, -88, -152, -244, -370?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 89 - 170 + 81.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27342 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278785 by -55757.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Suppose 2*v - p*a = -a - 11, 2*v + a = 1. Suppose -18*d = -89 + 71. Is d < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*z + 266 = 0, 5*z = n - 37 - 27. Let q = n + -25. Let r(j) = 2*j**2 - 1856*j - 20515. Calculate the remainder when r(-11) is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y - 15. Let j be 1 - (-4 - (0 + y)). Solve -1 = -j*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 5) to base 13\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 610 and 62170?\nAnswer: 3792370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -76*u + 35. What is t(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 460 + -0.45\nAnswer: 459.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -60, 0.3, 1\/5, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/g**14))\/g))\/g**(-2\/5) assuming g is positive.\nAnswer: g**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 1. What is the common denominator of (i\/(-12))\/((-22)\/(-124)) and -213 + 197 - (-1236)\/72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39586769, 79173546, 118760323, 158347100?\nAnswer: 197933877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/105*28\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*d**2*h**2*n*o - 2*d**2*h*n + 18*d*h**2*n*o - 37*d*h*o - 2*d*n*o - 6*d*n - 3*o wrt h.\nAnswer: -406*d**2*n*o + 36*d*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 6*d - d)*(-13 + 13 + 2*d) to the form z + a*d**2 + n*d and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 28. Solve 2*y + d = -2 - 2, -3*y - 3*d = a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71\/2 + -459\/14. Let f = -611932081\/22 + 27822239. Let m = f + -7146. Calculate the common denominator of j and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*r - 4*i - 4, 2*r = -5*i + 33. Which is greater: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14079081.93 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 498*a**2 + 44*a - 231. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41314503 (base 8) to base 16\nAnswer: -859943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 316526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234.9 + 257.9022. Let x = 27 + -50. Let h = n + x. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 5. Let f(s) = 2*s + 4. Let i = -16 + 20. Let x(l) = i*n(l) + 5*f(l). Let j(m) = -m - 2*m - m. Give j(x(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18117, -36973, -57305, -79851, -105349, -134537, -168153, -206935?\nAnswer: -251621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/45 + k**4\/18 - 19*k. Let u(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280200 is divided by 126.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:00 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1001 and -49\/44?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.1156?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.36 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbbmbbmbmbbbbbbbbb. What is prob of picking 1 m and 2 b?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 385 - 1008. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 0. Let u = 11.9 + -29.9. Let m = u + 17.8. Does m = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-120))\/(-2*3\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*f**2 + 14*f**2 + 24*f**2 + 2*f**3 - 90*f**2 + 1170 - f + 18*f**2 as a*f**3 + k + p*f + h*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 4 = -367*s + 363*s, 5*s - 39 = 7*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3748387185 to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2 - -4)\/1). Let l(o) = -2*o**3 - o**2 + o + 6. Let h(y) = y**2 - 5 + 3*y**3 - y - 3*y**2 + 3*y**2. Let s(u) = -3*h(u) - 4*l(u). Determine s(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089309269 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 405, 407, 409, 411, 413?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3529 + 6459 - 1420)*(2*a + 2 - 2) + 1 - 2*a - 1.\nAnswer: 3018*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2) + (-1)\/2. Suppose c + 18 = -4*l, -4*c - w*l - 1 - 1 = 0. List the prime factors of 2*c\/(-4)*-12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(4\/23))**8 assuming b is positive.\nAnswer: b**(64\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b + b. Suppose -w = b*z - 3*w - 52, 3*z - 54 = 3*w. Suppose -5*s + 12 = 3*t - 50, z = 4*t. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.808 - 373.192. Put x, -4\/7, 2\/13 in ascending order.\nAnswer: x, -4\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271114 divided by 2.\nAnswer: -135557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61760\/288)\/10 - 22.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56117, -56118, -56119?\n\"Answer: -t - 56116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in 2, 1, -3\/17, 254?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4248 by 1558.\nAnswer: 2124\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*y - 20, -35*n = -y - 40*n + 17 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/45 + 4\/10. Let c = 3.887 - 6.887. Let m = 1.5 + -1. What is the closest to k in m, c, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus 3839596.286?\nAnswer: -3839660.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*h**3 - 333*h**3 + 91*h**3 + 92*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 100*u + 5. What is the units digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204*0.1.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - t + 3*t - t**2 + 4*t**2. Let l(u) = -u. Let g = 567 + -572. Let s(q) = g*p(q) - 5*l(q). Let b(w) = 4*w. Calculate s(b(a)).\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.381224 days in milliseconds?\nAnswer: 637737753.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 308 (b) -0.24 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 11*l - 76 = -4*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 3, t: 4, c: 1, d: 2}. Give prob of picking 2 t, 1 e, and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -161\/3, 2\/2071, 5?\nAnswer: 2\/2071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 49.9 (b) 55 (c) 2 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131798 nanometers in millimeters?\nAnswer: 0.000000131798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k - 10. Let q be g(0). Let v = -2 - q. Calculate the greatest common factor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(((-28)\/(-12))\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -29. Let r(c) = 4*c**3 + 7*c**2 - 9*c + 5. Let a(k) = 6*k**3 + 11*k**2 - 14*k + 8. Let m(l) = y*r(l) - 5*a(l). Determine m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/64568 and -167\/84.\nAnswer: 193704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n - 2. Let l(o) = -5*o**2 + 13*o - 5. Let u(a) = -6*k(a) + l(a). What is u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + -203761001?\nAnswer: -203761001.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2148, 1\/61, 6\/13.\nAnswer: 1\/61, 6\/13, 2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-20) + 9\/2. Suppose -3*j - 4 = 2*v, 2*v = -j + o - 0. Solve 0 = -5*h + v*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 1 - 1)*(-3 + 0 - 1 + (-2 - 1 + 5)*(2 - 3 - 1)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 3*v - 29*v - 5.\nAnswer: -26*v + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {r: 2, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449007 is divided by 689737?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 34 - 34 = -3*v, 2*u = -5*v + 132. Suppose -u = -0*b - 7*b. Let l be ((-28)\/b)\/(3\/(-66)). Round l to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74c6 (base 16) to base 11.\nAnswer: 20507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*n**3*t**2 - n**3*t - 58*n**3 - 259*n**2*t**2 + 2*t**2 wrt n.\nAnswer: 846*t**2 - 6*t - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(-44) assuming a is positive.\nAnswer: a**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:37 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 3*i - 7. Let n be t(5). Solve 0*y**n + 4*y + 0*y**2 + 5*y**3 + 6*y - 15*y**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7964705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 35*j**2 + 18*j + 13. Let a be p(-17). What is the biggest value in a, -40, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 15. Let k be w(6). Let t be 0*(30\/k + -3). Suppose t + 2\/5*y**2 + 0*y = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 0*y + 1048 = 0. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(162\/(-24) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 254 = 4*x, 133*x - 134*x = 7. Calculate the remainder when r is divided by (-5 - -14 - -1)*(2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*o*z**2 + 64049842*o + 3*z**3 - 466329*z wrt z.\nAnswer: 56*o*z + 9*z**2 - 466329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(-8 + 10 + 5).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -840 divided by 3\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Let o be 3*(3 + 1\/l). Is 16 a factor of (-4)\/o + 935\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-28) - (-1)\/2. Let l = -11 - 6. Let j = l - -12. Which is the closest to 1? (a) j (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*w - 5, 0 = -h - 4*w - 23 + 1. Let l be -2 - -2 - (h - 2). Suppose -5*r + 7 = 3*x, -4*r + 0*x - 4*x + l = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*s + 20 = 209*s - 3*j, -4*s + 16 = -j. Solve -n + 3*n + 10 = -s*k, -3 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -799*k. Let r(u) = -21*u**2. Calculate r(l(f)).\nAnswer: -13406421*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u + 15. Let l be (u\/(-2))\/(15\/4). Suppose -18*a - 5 + 23 = 0. Is l smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 2*t + 4. Let f(o) be the second derivative of 3*o**4\/4 + o**3\/2 + 7*o**2\/2 + 170*o. Calculate 4*f(u) - 7*m(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 5. Suppose 2*f + 21 = -3*u, 9 = -4*u - 5*f - 26. Let t(o) = -10*o + 7. Let y(s) = u*t(s) + 7*m(s). Let w(q) = -q. Calculate -3*w(k) - 4*y(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 55. Let x be (-2)\/(-8) - 403\/(-52). Let o be 2 - (-3 + (x - -2)). Which is the third smallest value? (a) d (b) o (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -39, -68, -113, -180, -275, -404, -573?\n\"Answer: -r**3 + r**2 - 15*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 5*n + 2. Let p = -10 + 0. Let r = p - -24. Calculate the smallest common multiple of h(-3) and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**3 + 2*w**3 - w**3)*((0*w - w + 2*w)*(-17 + 21 + 19) + 16 - 16 + 8*w) as h + r*w**4 + q*w**2 + s*w**3 + x*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 1328*y**2 + 5331*y + 154. Calculate c(-4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35d8f (base 16) in base 6?\nAnswer: -4421035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -260*x - 1701 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let k be b(-2). Determine i, given that -4*i + 2*i**k - 3*i**2 + 2*i**2 - 3*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225818, 225818, 225808, 225782, 225734, 225658, 225548?\nAnswer: 225398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {q: 2, h: 2, p: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 11*s + 6. Let o(a) = -a**2 + 3*a + 4. Let v(p) = p**2 - 3*p + 4. Let f be v(3). Let q be o(f). Solve q*n = s*z + 3*n + 9, -n = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 + -7 + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 3468507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - a**2 - 3*a**2. Let u(g) = -2*g - 23. Let b be u(-12). Let m(f) = 2*f**2. Let q(y) = y**2. Let t(h) = b*m(h) - 6*q(h). What is t(j(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 10. Suppose 0 = 2*i - 6*i + 3*r + 116, -t*i - 5*r + 84 = 0. Let p = i - 18. What is the smallest common multiple of p and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -17. Which is the nearest to 2\/5? (a) -2 (b) -9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiap when four letters picked without replacement from {i: 1, j: 1, a: 6, v: 2, p: 3}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -46*t - 1462. What is m(-31)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 17 - 95 = 0. Which is the nearest to 1? (a) z (b) -1 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.8 - 8. Let j = -9.3 - -1.3. Sort j, 2\/11, b in decreasing order.\nAnswer: 2\/11, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178 + 197*d**2 - 178 - d**2 - 3 + 3 + (-2 + 3 - 3)*(-5*d**2 + 3*d**2 + 4*d**2) + 7*d**2 - 7*d**2 - 3*d**2 + (0 + 0 + 2)*(-2*d + d**2 + 2*d).\nAnswer: 191*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:30 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1767867.\nAnswer: 1767867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -140. Solve 0 + 6 = -z*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**3 - b**2 - 4*b - 1. Let p be r(3). Suppose -25 + p = y. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*(-5)\/((-2)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/9, 7\/3, 37, 0.6, -10?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*y = -675, -1345 = 3*l + l - 5*y. Find the common denominator of (1\/8)\/((-5)\/l) and -63\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 711163958 by 18714841.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -58, -18, 0, -1, -88, 2 in ascending order.\nAnswer: -88, -58, -18, -1, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -158 * -0.95\nAnswer: 150.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13781\/29 - -475. Let b = 112.7 - 109.7. Put o, -5, b in decreasing order.\nAnswer: b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/30 - 173*b**3 - 84*b**2 - 4*b. What is the first derivative of m(c) wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 9 - 1. Solve -q = u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let v(b) = 345 + 24*b + 24*b - 345. Calculate v(u(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12. Suppose -5*c = f, c - 2 - 16 = -3*j. Is 18 a factor of (9\/j)\/(-3)*-72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1802 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 27*m - 147 = 68 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:53 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14471*k**2 + 77140*k**2 - 19638*k**2.\nAnswer: 71973*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29085000 divided by -3.\nAnswer: 9695000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*w = 4, 0 = 21*l - 19*l - w + 4. Sort l, -3, -139 in ascending order.\nAnswer: -139, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = f + 2*x, -2199*f + 19 = -2197*f + 3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/858 + 6\/39.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6502 and 20?\nAnswer: 65020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -6 - 2) + -7. Let r = -2 - n. Suppose -12 = -19*z + 15*z. Solve 11 - z = r*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1632793255 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -4*a, 5*m - 2*m = 3*a. Suppose 7*l - m*l = 2. Let y = 39 - 28. Calculate the highest common divisor of l and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4631301154449.52183027 - 4631301175400. Let l = 20909.47817 + c. Let g = 41 + l. What is g rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let c(j) = 543*j**2 + 2. Determine c(m(t)).\nAnswer: 2172*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17997 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71536967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7435*y. Let l(i) = 24*i**2. Determine l(m(k)).\nAnswer: 1326701400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*g - 224 + 1190 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q + 1563 = 41967. Let p = q + -669. Calculate the smallest common multiple of 54 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 34\/5 (b) -2\/9 (c) 4\/5 (d) 3\/7 (e) -0.1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fscf when four letters picked without replacement from {c: 3, s: 5, f: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -730211, -1460419, -2190627?\nAnswer: -2920835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 34*m**2 + 241*m + 24. Let v be g(-7). Let u = -0.4 + -0.1. Which is the third biggest value? (a) -13 (b) v (c) u (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 11*f = 16*f + 2, 4*f = 8*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1100) + 5)*-6 + sqrt(1100)*-1 + 5 + (sqrt(1100) - sqrt(1100)*2)*-5)*4)**2.\nAnswer: 64000*sqrt(11) + 1136400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**3 - 11. Let r(w) be the third derivative of -w**6\/24 + w**3 + 7*w**2. What is 6*k(q) + 11*r(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 51 - x - 52 + 8*x as p + v*x and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 8*a = 29339990. Let x be 10\/6 + a\/3. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**2 + 4*m**3 + 2*m**2 - m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*b + 8 = -0*t, -3*t + b + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023513241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 36 + -12 + -18 + -79 + 2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/40 + o**3\/3 + o. Let w(k) be the second derivative of a(k). Let h(l) = -98 - 6*l + 98 + 0*l. What is w(h(g))?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 6, i: 1, s: 2, q: 3}. Give prob of picking 1 i and 2 n.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:02 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.2 (c) 2\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*2*1 + -5 + 3.\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132372 (base 9) in base 11?\nAnswer: 55530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13782688243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 332461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-6 - (-21 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -26*s - 150. Calculate the remainder when 309 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 41*p - 12 = l + 20*p, 4*l = 578*p - 622 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*417336.\nAnswer: -1252008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/10 - 8*n**4\/5 - 23*n**3\/5 + 72*n**2\/5 - 81*n\/10 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/12293 + -783\/1294. What is the common denominator of -65\/6 and f?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*g + 225*g + 3*z = 8, 2*g - 4*z = -14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 66. Let h be n(19). Solve 6*d + h = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f1a - 8?\nAnswer: 1f12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 8*v - 8. Let p be x(8). Let k be ((-2)\/p)\/(4\/48). Solve 4*i = -7 + k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 259532*d**3*s**2 - d**3 + 44*d**2 - 4805*d - 5*s**2 - 9 wrt s?\nAnswer: 519064*d**3*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 30 + 31*i**3 + (59*i + 9*i + 63*i)*(-i**2 + 5*i**2 - 3*i**2).\nAnswer: 162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-14) + 12 - 0. Solve 29*d = 19*d - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-12))\/((-5)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418141589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41455201.\nAnswer: 41455201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*i + 7592 = -278*i - 18789 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18264825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10240*w - 3563514. What is s(348)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15 = x - 3*l, 3*l + 15 = 3*x. Suppose x = 3*q - 7*q + 24. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4 + 74*c**3 + 235*c**2 + 2 wrt c.\nAnswer: 72*c + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.28664160396415 and 0.3.\nAnswer: 0.01335839603585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 1, z: 1, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 11*u - 14. Let w(n) = 3*n**2 - 21*n - 27. Let g(s) = 5*m(s) - 2*w(s). Let f be g(-12). Put -11, -3, f in descending order.\nAnswer: -3, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.1 (b) -0.309 (c) 1 (d) 0.14 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*u**2 + u**4 - 29*u**2 - 2*u**4 + 1 + (5*u**2 + 25*u**2 - 7*u**2)*(0 + u**2 + 0).\nAnswer: 22*u**4 - 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 371165, 371159, 371153, 371147?\n\"Answer: -6*p + 371171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let i be s(-2). Let v(a) be the second derivative of 0 + a - 1\/12*a**4 + 1\/3*a**3 + 0*a**i. What is the second derivative of v(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3752 is divided by 3725.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 751 and 130?\nAnswer: 97630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*d + 5778 = -369*d. Solve -d*b + 208*b + 12 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 - (-8 - -16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 1*10\/2. Let m = -38392 - -38391.8. Which is the biggest value? (a) -1\/4 (b) m (c) 0.2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5274228 - 10*j**3 - 5274228 + 29*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 16 = 4*w - 8*w. Sort -1\/742, w, 5 in increasing order.\nAnswer: w, -1\/742, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0 + 0)\/(-2). Let y(d) = -2*d - d**h + 9 - 3 + 6*d. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - m + 3 = 4, -4*m = -16. Suppose 2*l = 5*p, -4*p - l + 9 = -2*p. Find the third derivative of i**p + 3*i**2 - 9*i**5 + 16*i**c wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*y - 29*y**3 + 941*y.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -7) + -5 - (55 + 19)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/30 - v**4\/3 + 3*v**3\/2 + 1341*v**2. Give q(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1073*j**2 - 2799 - 2798 - 310*j**2 + 5599.\nAnswer: 763*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3493781 divided by -3493781\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/(-3)*(-378)\/(-36). Find the common denominator of -88\/15 and 28\/(-98) + (-226)\/m.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 5, f: 2, x: 1, p: 6}. What is prob of picking 1 r, 1 f, and 2 l?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.2 - -8. Let q = 4 + -5. Let a = j - q. Put 1, a, -1 in increasing order.\nAnswer: -1, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/6)\/3 - 6. Let f(h) = h**2 + 11*h + 32. Let l be f(w). Which is the nearest to -1? (a) -1.1 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/5 + 19556*r + 478046420 = 0.\nAnswer: -48890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 5*d**3 + 2*d**3)*(-4*d - d + 333*d**2 - 337*d**2).\nAnswer: 4*d**5 + 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + t**5\/10 - 5*t**4\/24 + 5*t**3\/6 - 4*t**2. Let o be w(5). Let p(z) = z**2 + 3*z + 6. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 996 - 1687a2?\nAnswer: -167907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19717 - 19726 - 19689 + 3*h**3 - 6*h**2 - 19716 + 78848.\nAnswer: 3*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*j = 3*p - 34, -3*j + 24 = -3*p. Let d = -1 - p. Suppose -2*o + 39 = d*n, 2*n - 18 = -o - 2*n. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose 0 = -5*w - 15, -v + u*v + 22 = -4*w. Let q = 16 - v. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 6*x**2 - x - 1. Suppose 2*s + 68 = 6*s - 3*d, -100 = -4*s - 5*d. Suppose 14*t = s + 8. Calculate the remainder when j(-6) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-23 + 16)) + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w**3 - 14*w**2 + 17*w - 11. Let d(q) = q**2 + 4*q - 4. Let u be d(-4). Let x(c) = 6*c**3 + 5*c**2 - 6*c + 4. Determine u*n(v) - 11*x(v).\nAnswer: 2*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3 + 9*g**2\/2 - 7*g - 36149. Let f(n) = 0 + 2*n**2 + 5*n - 4 + 0*n. Give -7*f(x) + 4*l(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -4. Let h be 36\/(-4)*4\/j. Is (h\/(-4))\/(1\/(-22)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3019, -3, 2 in ascending order.\nAnswer: -3, 2, 3, 3019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19927137.59 rounded to the nearest one thousand?\nAnswer: 19927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:28 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151768408 and 0.1.\nAnswer: -151768407.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 8. Let r = -1.3 - -2.3. Let t = -2 - 3. Put r, t, j in ascending order.\nAnswer: t, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -906\/180353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -37 + 7. Let v be (-1)\/(-3)*(-24)\/(-4). Suppose -v*j - 2*f - 3 = -123, 0 = -5*f. Calculate the greatest common divisor of j and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -3 + 7\/108*s**4 + 1\/540*s**6 + 1\/54*s**5 + 0*s + s**2 + 1\/9*s**3. Factor w(b).\nAnswer: 2*(b + 1)**2*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 43*g**2 - 21*g - 40. Let v be x(22). Let o = -982 - v. Solve -10\/7*n**3 - 2\/7*n**o + 0*n + 0 - 6\/7*n**2 + 2\/7*n**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984446556 divided by 246111639?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 2*v - 19*v - 13*v - 5*v - 3*v + v + 0*v + (-3 + 2 - 1)*(-1 - v + 1) - v + 0 + 0)*(0 + 3 - 10)*(-4*v + 0*v + 2*v).\nAnswer: -504*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 + 15*w**4 - 115*w**3 + 165*w**2 - 70*w.\nAnswer: 5*w*(w - 2)*(w - 1)**2*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 2 - 2)*(-13 + 13 + 7*y**3) + y**4 - y + y as w*y**2 + k*y**3 + r*y**4 + h*y + j and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-45)*(-10)\/8. Let r = -23\/4 + 127\/20. Which is the second biggest value? (a) -0.2 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + r**2. What is the remainder when n(-1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 10:55 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 + 3*s**2 - 8*s - 5. Let n(x) = -17*x**3 - 9*x**2 + 24*x + 15. Let l(z) = 7*g(z) + 2*n(z). Give l(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5319702 is divided by 2659713.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 25*m = 4*j - 2, -3*j + 2*m = 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311213112 - 22231?\nAnswer: 311130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5*y**7\/42 + y**4\/3 + 11*y - 1. Let g(u) be the first derivative of i(u). Find the third derivative of g(r) wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o - w = 41, -3*o + w = 37. Let g = o + 12. Let i be (2 - 1)\/((-1)\/(-2)). Sort 0, g, i in descending order.\nAnswer: i, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from sssssskksssosksoss?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 3*w - 18, 3*w = -q + w - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 1 (c) 8\/3 (d) 0.4 (e) 93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 556. Let k = x + -551. Let o(q) = -q + 11. Let m be o(6). Solve m = k*t + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u**2 - 75145*u*z**3 + 19088*z**3 + z**2 + z + 4 wrt u.\nAnswer: 6*u - 75145*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 25. Let g be (-4)\/y*(-27)\/9. Is 33 a factor of g + 3\/((-15)\/(-395))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142256?\nAnswer: 2, 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1029 and 3087.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5684329 millennia to centuries.\nAnswer: 5.684329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 32*a + 2. What is the tens digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**8)*j\/(j*j*j*j\/j**(5\/2))*(j\/((j**(-10)\/j)\/j))**(3\/13))**(7\/2) assuming j is positive.\nAnswer: j**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a + 10. Let t be a\/(15\/(-24)) + -2. Let h(m) = m + 7. List the prime factors of h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103.1 and -7.\nAnswer: -721.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8) + (-31)\/(-36) + (-7)\/56.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15530402.2 to the nearest 10000.\nAnswer: 15530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30852 = 2*x, -2*c + 6*c = x - 15404. What is x rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*j - 3 = 0, -4*j = -3*x + 6*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227605757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/c**(-35) assuming c is positive.\nAnswer: c**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2064)\/(-4))\/(12\/1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6917898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-7 + 28)) + -2 - (29 - -7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/175*5)\/(1\/(-1255)). Let x = 622 - j. Calculate the greatest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 1, 2, 377, 5.\nAnswer: 1, 2, 5, 117, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g**2 + 6*g + 1. Determine z(6).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-95)*-73 - (-20 - 7620\/(-380)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613412213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + 4*s**4 + 8*s + 2 - 3*s to f*s + q*s**2 + d*s**4 + c*s**3 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4143231?\nAnswer: -4143224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*q + q = 35, -2*o - 5*q - 90 = 0. Suppose 2*i = 36*i - 34. Sort o, 5, i, 2 in increasing order.\nAnswer: o, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v + 20*v + 15*v. Let d(f) be the second derivative of 2*f**3\/3 + 7859*f. What is y(d(r))?\nAnswer: 84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45896083.1 rounded to the nearest ten thousand?\nAnswer: -45900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**3 - 1975*u**2 + 840*u.\nAnswer: 5*u*(u - 56)*(7*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2*r**4 - 4)*(-472 + 948 - 508 + 2*r).\nAnswer: -4*r**5 + 64*r**4 + 2*r - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -895, -2376, -4679, -7924?\nAnswer: -12231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 28 = -0*n. Let k(c) = -c**3 + 8*c**2 - 9*c + 9. Let x be k(n). Let q = 7 + x. Solve q*f = -f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(72\/18*(-6)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 15, 25, 39, 57, 79, 105?\n\"Answer: 2*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n**4 - 878*n**3 - 1018*n - 64156015 wrt n?\nAnswer: 28*n**3 - 2634*n**2 - 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 599*g + 1630. Let k(a) = -a. What is v(k(c))?\nAnswer: -c**2 - 599*c + 1630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 minus 83887699?\nAnswer: -83887729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1702.062194 to the nearest ten.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)\/c*c*c*c**(-1\/6))**(-38)*(c**1)**(-18\/5)\/((c**6*c*c)\/(c**(1\/3)\/c*c)) assuming c is positive.\nAnswer: c**(-1214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0*g**4 + 4 + 0*g**2 + 0*g**5 + 7*g - 101\/30*g**6 - 14*g**3. What is the second derivative of l(h) wrt h?\nAnswer: -1212*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5\/4 - 1461*n**4\/4 - 33435*n**3\/4 + 63132393*n**2\/4 - 62840640*n - 188874675 = 0 for n.\nAnswer: -187, -2, 6, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*319\/(-232)*-12\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 14*j = 3345. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -567*d + 1746. Let f be r(3). Suppose -5*a - 126 = -981. What is the highest common divisor of a and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahaf when four letters picked without replacement from ahufauj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i - 232. Give s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:11 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o*o**(2\/9))**(-2\/109)\/((o*(o\/o**(-5))\/o)\/(o\/o**(2\/5))*o**(-2\/13)*o*o*o**(-6\/5)) assuming o is positive.\nAnswer: o**(-384857\/63765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -b. Let g be (-2)\/((16\/b)\/(-4)). Suppose -o - 1 = c, -35 = 5*o + 2*c - g*c. Is o at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 2*k**4 - 3*k**4 + 20 + 13*k**4 - 20 + (-5*k + 2*k + k)*(2*k**3 - 3*k**3 - k**3).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(3 + (sqrt(11) - sqrt(176))) + 2 - sqrt(484)\/(sqrt(55)\/(sqrt(25)\/sqrt(5)))))**2 + 1.\nAnswer: -5202*sqrt(11) + 31213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1036)\/(-420) + (-3 - 4\/(-3)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 169*f**4 + 381*f**2 - 65*f - 192*f**2 - 189*f**2. Let h(r) = 339*r**4 - 130*r. Let z(g) = -2*h(g) + 5*k(g). Find the second derivative of z(o) wrt o.\nAnswer: 2004*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/29 + -149\/1160. Let x = h + 3\/20. Which is the biggest value? (a) x (b) -0.3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-314)\/785 - 21\/(-165).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.72 - 3.72. Let h = c - 7.9. Which is bigger: -7\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:42 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -79, -80, -81?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 42 + 41 + s**4 + 5*s - 2*s**2 + 2*s**3 to the form f*s**3 + c*s**2 + h*s + o + z*s**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/21 + 1220\/560 + -2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -621, 29, 5 in decreasing order.\nAnswer: 29, 5, 4, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -519456 by -42.\nAnswer: 12368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10356 divided by 10356.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*136.5278.\nAnswer: 81.91668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 15, 35, 65, 105, 155?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 770555948*y\/5 - 74219558624772338\/5.\nAnswer: -2*(y - 192638987)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 97, 144, 231, 370, 573?\n\"Answer: 2*m**3 + 2*m**2 - m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:45 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 734274 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 7) to base 14\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 109. Suppose -q*t + 444 = -3*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and -17967946.\nAnswer: -17967943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 23*v - 13. What is the remainder when l(-19) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 81, 139, 215, 309, 421?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404030131?\nAnswer: 191, 317, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19.283*-6\nAnswer: 115.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*w + 34 - 3 = 0, 2*p = w - 14. Let i be p - 12\/(-3) - -5. Sort 0, 2, i in ascending order.\nAnswer: 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*f - 153 = 359*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 6*b + 4. Let h be k(6). Let c = 3 + -3. Let w = c + -4. What is the third smallest value in w, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - -541d?\nAnswer: 543d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119273, 5, -3\/7, -27.7 in decreasing order.\nAnswer: 119273, 5, -3\/7, -27.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3621.893ml to litres.\nAnswer: 3.621893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y + 7. Let w(n) = -2*n**2 + 16. Determine w(q(r)).\nAnswer: -392*r**2 - 392*r - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2164 - -2166. Solve z*w + w + 3 = r, 0 = -w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = y + 3*y. Suppose 0 = -5*h + 2*h + 60. Let d be (32\/h)\/(4\/50). What is the greatest common divisor of d and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(306) + sqrt(306) + ((4*sqrt(306)*-1 - sqrt(306)) + sqrt(306) - sqrt(306) - sqrt(306) - sqrt(306)) + sqrt(306))\/(sqrt(200)*2*6) + -3 + -5.\nAnswer: -13 - sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -38. Suppose -g - 17 = -3*k. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (4 + 3 - (-28 + 38)) + -49\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-1)\/(-4) - (-48)\/(-64). Calculate the remainder when 150 is divided by (-4)\/(-26) - (u + 4428\/(-117)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -34320?\nAnswer: 34320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108) + (sqrt(108) - -5*(sqrt(108) + -2*sqrt(108))))\/sqrt(9))\/(3*sqrt(24)\/sqrt(4)*-4).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/4 and -89\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, 11.5, -50?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4201441?\nAnswer: 1091, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 1, -5, -140, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -501?\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 7*u + 1. Let i be r(-6). Let b be (2\/i)\/((-2)\/20). Suppose 58201 = 5*o + 4*y + 393209, b*o + 267992 = 4*y. Round o to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 1.2. Let u = d - 1.9. Which is the third smallest value? (a) 4 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27 - 1\/(-2)*-2. Let z = -7 + d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 18, 64, 150, 288, 490, 768?\n\"Answer: 2*w**3 + 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -33, -35, -37, -39, -41?\n\"Answer: -2*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -401, -871, -1339, -1805, -2269, -2731?\n\"Answer: x**2 - 473*x + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 331 - 367 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -248 (c) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 98?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132160\/(-2360)*(-2)\/(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.21539.\nAnswer: -0.107695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3524673 or -3524672?\nAnswer: -3524673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016442825 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -6, 3, -4, 6, -1 in decreasing order.\nAnswer: 6, 3, -1, -4, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -574871, -1149892, -1724913?\n\"Answer: -575021*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228801 and 477.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*m - 2*m + 13*m)*(31*m**2 - 28*m + 28*m + (6*m - 3*m - m)*(-m + 0*m + 2*m)) to r + d*m**3 + a*m + t*m**2 and give d.\nAnswer: 1782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-315))\/((-44)\/(-110))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*x = -27, 3*n - 38 = -5*x - 4. Solve -6*z + 8 = -2*z - n*f, 0 = -4*z - 2*f - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:21 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*u = -6. Let b(r) = 16*r - 4. Let f be b(u). What is the units digit of (-72)\/(-126) - f\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 25*z = 42*z - 810. What is the highest common divisor of 7362 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2199\/(-21) - (-4)\/(-14). Let b = v - -248. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1968 and 5578788?\nAnswer: 22315152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -6 - -23) + 8. Suppose -d*i - 5*i = 5*i. Solve 5*j + 6*j + 11 = i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283\/3 - 93. What is the smallest value in z, 3, 9\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.14 - -3.13532. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, 34443, -0.18, -17, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 200021202?\nAnswer: 200021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3680162, -7360273, -11040384, -14720495, -18400606, -22080717?\n\"Answer: -3680111*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -202*k - 20. Let t be d(-5). Suppose 0*g - 2*g = 2*m - t, 0 = -5*m - 5. Suppose 8*f - g = 424. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 76 - 41. Suppose 0 = -3*o + 17 + y. Solve 0 = -0*u - 2*u - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -63*x - 22*x**3 + 68*x + 6 - 1. Let a be n(-3). What is the second derivative of -k - a*k**4 + 565*k**4 - 2*k + k wrt k?\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 2214167451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (833\/21 - -1)*(1080\/(-40))\/(-54)\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z - 16. Let v(y) = y. Calculate d(t) - 12*v(t).\nAnswer: -4*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - d + 1. Let a(f) = 10*f**2 + 3*f - 3. Determine -a(g) - 3*y(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 996 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19399 + 14488 = 2093*g + 6678 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 4 + 116 + -93.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439\/555 + 1\/111. What is the third biggest value in -0.1, 2\/11, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 77630213\nAnswer: -543411491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -4, 3, 18 in decreasing order.\nAnswer: 18, 3, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27021*b + 88328*b + 106758*b.\nAnswer: 168065*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263313647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -244*a + 192*a - 1352 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q)**14\/(q\/(q*q**1*q*q))**(-2\/25))\/(q*q\/q**(-3)*(q\/(q*q**5*q*q*q))\/q*q\/(q\/(q*q**(-3\/4)\/q))*(q\/(q**(-2\/17)*q)*q)\/q) assuming q is positive.\nAnswer: q**(7467\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.954281ng in tonnes?\nAnswer: 0.000000000000002954281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 21086984.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Let k = 22 + -21. Let s be -3*k\/(12\/(-20)). Solve -s = l*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 9 + (-8)\/(-480)*18 + 9.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, -1, 2 in descending order.\nAnswer: 2, -1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*c - 239 = 1775 + 13636 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -3, 3\/4, 1\/4, -2\/7, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 694319929 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6818 or 6833?\nAnswer: 6833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 201 = -57. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -20*i - 83\/2*i**2 + 1\/2 - 21*i**3 = 0.\nAnswer: -1, 1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24047 is divided by 89.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 236015825 and 0?\nAnswer: 236015825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 28 = 5*f. Let b = 58 + f. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 40. Let i = d - 38. Is 2\/53 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.7282 tonnes in nanograms?\nAnswer: 266728200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/8, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(300)*2*2.\nAnswer: 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 5, 4, -52\/35 in ascending order.\nAnswer: -178, -52\/35, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16576.209 rounded to the nearest 10?\nAnswer: -16580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4474, 6075, 7676, 9277?\n\"Answer: 1601*s + 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103132513 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v. Let z(q) = 287*q. Determine b(z(t)).\nAnswer: -1722*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/6 + 10*i**3\/3 - 6*i**2 - 6*i. Let s be k(-10). Let m be (0 + -3)\/(s - -11). Solve -2*d + m*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (9 + 8 - 33) - (-18 - 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1225) - (sqrt(49) + sqrt(245)\/sqrt(5)*-6))\/((sqrt(70)*-2*2)\/sqrt(10)))**2.\nAnswer: 8575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 4*k - 3*k)*(-k + 2*k - 3*k + (0 + 1 + 1)*(5 - 5 - 2*k) - 10 - 21*k + 10).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 174009 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6946 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 4496*l**2 - 4342*l**2 + 9209*l**2 to d*l + a*l**2 + x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 429 and -0.6.\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1583 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -71, -5, 33?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3406401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*1 - sqrt(91) - sqrt(91))*-3)\/(sqrt(7)*-1*-1 + sqrt(7)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -765 - 43723?\nAnswer: -44588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 2 + 8)*(27*c - 487*c - 794*c - 8*c - 1) as b + y*c and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1406215027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4 - 5. Suppose 6*r + 3*w = 2*r + 266, -h*w + 334 = 5*r. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 125.9495 millennia?\nAnswer: 125949.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1607750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 5}. What is prob of picking 3 l and 1 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5 - 3)*(-6)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-10)\/(-3))\/((-205)\/(-41)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -65, -102, -139?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -52, -69, -92?\n\"Answer: -3*y**2 - 2*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160332.\nAnswer: 2, 3, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5 + 18*f**4 + 15*f**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-3 - 3 - -6) + 0 + 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 488.834 and -35.8.\nAnswer: -17500.2572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 19. Let o(x) = 4*x + 49. Let q be o(-20). Let r = -13 - q. Calculate the greatest common factor of w and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048266 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3\/8, 1\/4, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15840811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2310650 and 179450.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7593234 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71647 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -14 + -4 + 6 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 258651920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15021445 by -3004289.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l + 1. Calculate t(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + u - 251 = 24, 0 = u + 1. Let z = -87 - w. Let f be (5599985\/3 + z)*15\/2. What is f rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426 by 142.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*g**3 - 135*g**3 - 189*g**2 - 6 + 2 + 189*g**2 as c*g + r + m*g**3 + k*g**2 and give m.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8 and 6\/((-288)\/42) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**5 + 3483*k**4 - k**2 - 2916?\nAnswer: 180*k**2 + 83592*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509443117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5526, -5505, -5476, -5445, -5418?\nAnswer: -5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71828073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + 2*a**4 + 2*a**3 - 3*a**2 - a**3 + a**2 + 2*a as z*a + s + p*a**3 + b*a**4 + y*a**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -3*y - 293, 2*y - 172 = -3*s. Calculate the greatest common divisor of s and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-1\/5))))\/i*i**1)**(-8)\/((i**(2\/7))**(-11)\/((i**(1\/4)*i)\/i*i**(-3\/2)\/i)) assuming i is positive.\nAnswer: i**(-771\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**6\/2 + 18*f**5\/5 + 39*f**4\/4 + 12*f**3 + 6*f**2 - 31. Factor x(o).\nAnswer: 3*o*(o + 1)**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 + j - 2. Let o(f) = f - 2. Let i be o(7). Let p = i - 3. Is 3 a factor of x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252317, 252493, 252741, 253025, 253309, 253557, 253733?\nAnswer: 253801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 126. Let s(m) = -15*m + 273. Let a be s(18). What is the biggest value in b, a, 22, 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 142 + 41 = -o, -g - o = 48. Let c = 74 + g. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -5*r + 3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278714 divided by -146?\nAnswer: -1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 + 59. Let c = 131 + m. What is the remainder when 187 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 275*n**2 - 19*n + 69. Is 21 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - -1*sqrt(204)) + sqrt(204))*2 + sqrt(204) - -6*sqrt(204)*2)\/((-2*(sqrt(12) + (sqrt(12) - sqrt(12)*-2)) + sqrt(12) - sqrt(12))*1).\nAnswer: -19*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 9*c + 1. Let v = -120 - -123. Suppose -2*k + 38 = 4*i, -4*k - v = -k. Give w(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 240.3 (c) 0 (d) 7 (e) 3 (f) -1.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 6394536.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i + 5*u = 165, 117 = 4*i - u. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 11*n - 102. Let g be o(17). What is the common denominator of (-7429)\/(-1615) + (0\/1 - g) and -56\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, -s = 2*q - 3*s - 36. What is the tens digit of ((-261)\/12)\/(q\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*q = -97*q + 5*m - 129325, 6*m = -12. What are the prime factors of q?\nAnswer: 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230700 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-24)*6\/(-40).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50 - 17*v + 27 + 22 with respect to v.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -2*y**7\/7 + 69*y**4\/2 + 9*y**3 + 2*y**2 + 397. What is the third derivative of a(v) wrt v?\nAnswer: -240*v**3 + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**3 + 72*u**2 - 412*u - 40. What is h(6)?\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11932*d**2*x**2 + 134*d*x**2 + 2*x**2 wrt d?\nAnswer: -23864*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 - 9)) + -4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1341493 or -1341487?\nAnswer: -1341487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*n - 66*n - 30*n + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2592.938 + -1\nAnswer: 2591.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3142 is divided by 2993?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6520, 6517, 6490, 6427, 6316?\nAnswer: 6145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 + (-30 + -21 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7096 = 160*j - 163*j, 0 = 2*j + 4*s - 4744. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-4)\/((-144)\/(-15)). Let z = 0.0695 + 0.0305. What is the closest to z in -1\/7, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 3. Let l be b(4). Let d be l\/1 - (-7)\/8. Let a = -8 + 12. What is the closest to -0.1 in a, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98226 and 0.07436?\nAnswer: 7304.08536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43880, 43878, 43876, 43874, 43872, 43870?\nAnswer: 43868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ari when three letters picked without replacement from {m: 2, h: 1, a: 1, r: 1, i: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.18 + 0.18. Let g = y - -21.0165. Round g to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/153 and -61\/99.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3746 and 694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - -142525\nAnswer: 142525.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 31*t**2 + 3*t. Let a(b) = -31*b**2 - 3*b. What is -4*a(r) - 5*l(r)?\nAnswer: -31*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0384 - -0.03840892. What is r rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-14 - -12) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*x + 4*w, -3*w = -x + 5*x + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdjjdjjjjjjjbjj. What is prob of picking 1 d and 1 b?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 10, -21.\nAnswer: -21, 1, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12783 = -2755*w + 84277 + 82786 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 40 + 7 = 0. Let i(l) = -15*l**2 - 2*l - 1. Let k be i(-1). Let s = k - z. Calculate the remainder when 36 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*((-24)\/21)\/(-4). Suppose -4*y + 4 = -x*y. What is the third derivative of 19*c**5 - c**2 + 2*c**y - 15*c**5 - 4*c**2 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302269, -605756, -909243, -1212730?\nAnswer: -1516217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 3*d + 4. Let q be k(-3). What is the highest common divisor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4914?\nAnswer: 1\/4914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/7 - 107792*y\/7 - 1452389408\/7 = 0.\nAnswer: -26948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 138 + 3b?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*b + 589, 4*f + 488 = 8*f - 4*b. List the prime factors of f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91334232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgqshrqj. What is prob of sequence gj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918533, -1837067, -2755601, -3674135, -4592669?\nAnswer: -5511203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.0546kg to nanograms.\nAnswer: 759054600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) -1\/5 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1, -1\/3, -108, -209?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 7 - 9 + 32 + 9*n + 1 to j*n + i and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67838 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -0.07. Let s = 0.5 + -0.3. Let z = -0.1 + s. What is the nearest to z in 0.1, -1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 + 61*t**3 - 35*t**3 + 11*t + 0 + 0.\nAnswer: -10*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15095.6725 - -15065. Let d = -8.656 - -8.6835. Let t = d - g. Round t to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 13*u - 27. Let z = -1057 + 1063. Give i(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 - 13*q**3 + 7*q**3 - q**3 + 20*q**3.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19544954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26210*t = 23281*t - 181598 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 + 3)*-1)\/(2\/(-100)). Let j be (p\/12 + -7)\/(4\/6). Calculate the common denominator of 47 and 2\/(-3)*164*j\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hprr when four letters picked without replacement from {r: 9, h: 1, p: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(1 + 1 - 3) - 1 + u + 2 + 2.\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 - 219. Solve -b - i + 6*i = 6, 2*b - 4*i = s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*m, -4*m - m - 5*d = -30. Sort 1, 4, -1, m.\nAnswer: -1, 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2319*d**6 + 30*d**2 wrt d.\nAnswer: 278280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(4*q + 5*q - 5*q)*(-3819*q**2 + 595*q**2 - 736*q**2) as f*q**3 + g*q**2 + l*q + k and give f.\nAnswer: -31680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*s + 42*s - 20. Let k be (-8 - -4)*(-9)\/4. Solve s*o + 16 = 5*t - 0*o, k = 3*t - 3*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1597098)\/(-16)*2\/(-3). Let s = 66897 + o. Let w = 353 - s. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.61 - -28.3689. Round s to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-281528)\/32)\/(6\/4). Suppose 5219 = f - 659. Let i = f + k. What is the common denominator of 15\/28 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21935258?\nAnswer: 2, 347, 31607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(175) - (-1 + 1 + sqrt(175))) + (sqrt(175) - (sqrt(175) - (sqrt(175) + 0)))*-4 + sqrt(175))*2)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = 2*i - 1, 4*u - 12 = -i. Suppose 60 - 252 = -2*v + 4*d, i*d - 508 = -5*v. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or -1.93?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/45)\/l)\/(l*l**(-3\/11)\/l)*(l\/l**29*l)\/(l\/l**(-24)) assuming l is positive.\nAnswer: l**(-26122\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-1 - (-4 + -1)) + 28 + -27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y + 2*a, 3*y - a = 6*y - 5. Suppose 2*r + y = 4. Put -1, 8, -4, r in increasing order.\nAnswer: -4, -1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n**3 + 145*n**2 - 95*n - 780 = 0. Calculate n.\nAnswer: -4, -3, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -78047?\nAnswer: 78043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((53\/(-106))\/1)\/((-1)\/((-32)\/(-1))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7526)\/(-159)*11715\/22?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.3. Let o(w) = w**3 + 2*w**2 - 3*w + 3. Let a be o(-3). Let i(r) = 2*r**2 - 36*r - 36. Let u be i(19). What is the biggest value in c, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -b1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*u + 26 = 2, 5*u + 30 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhwiiwwhixwiiiw. Give prob of picking 1 w and 2 h.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/3 + 8*i**3\/3 - 494*i**2\/3 + 1396*i\/3 - 304 = 0. Calculate i.\nAnswer: -19, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let u = -15 - -22. Let z(v) = 3*v**2 + v**2 + 4*v**2 - u*v**2. Determine z(h(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q - 13. Let r be d(15). Suppose 2*o - r = -27. Let z be (-90000)\/((-182)\/(-300) + (-24)\/o). What is z rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*n = -5*n, 4*n = -8. Let b(l) = 2*l. Let p(d) = -19*d. Let h(z) = w*p(z) - 18*b(z). Let t(q) = 0*q + 2*q + q - 5*q. Calculate h(t(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*a**2 + (-a**2 + 3*a**2 + 0*a**2)*(0 - 1 - 1) - 3*a**2 + 4*a - 4*a + 5 - 5 + 2*a**2 + 4*a**2 - 4*a**2 + 2*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o - 2. Calculate the highest common factor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -1\/2*m**2 + 10 + 1\/3*m**3 + 1\/3*m - 1\/12*m**4. What is t in r(t) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v - 18. What is the tens digit of f(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - a, -4*h = 5*a + 2 - 1. Let c be 1*h\/((-4)\/(-16)). Suppose -24 = -c*r + 32. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-53 + 48 + 6 + 1 + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10650 = -217*h + 688*h - 321*h for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 24 = 4*h, -5*h + 36 = 4*b + 6. Suppose 45 = 5*s - 4*j, -4*s - 2*j - 9 = -5*s. What is the smallest common multiple of h and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t**3 + 5*t**2 + 4*t. Let d(i) = 11*i**2 - 32*i**3 - 3*i**2 + 6*i + 2*i**3. Let u be 6024\/1255*3\/((-36)\/20). Give u*c(o) + 5*d(o).\nAnswer: 10*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425 - 6*z - 851 + 910*z**2 + 6*z - 17*z**2 + 425.\nAnswer: 893*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 311786224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 16 - 16)*(-3*v + v + 4*v).\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*h + 41, -6 = -k - k - 4*h. Suppose -16*s = -k*s - 195. Let a = s - 58. What is the highest common factor of 56 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qappjpqqapzqqqzazqj. Give prob of picking 2 a and 1 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 22*k + 8088*k**4 - 6 + 5 - 8090*k**4 as u + y*k + r*k**2 + j*k**3 + w*k**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11\/19 (b) -4 (c) -0.4 (d) -0.1 (e) 0.09 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*p + 39. Put 3, -13, -4, p in increasing order.\nAnswer: -13, -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021508693 rounded to six dps?\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250744613 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2229 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 986\/85 + -14 - -4. Determine n, given that 0 + 8*n**2 - 10*n**3 - d*n = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*y**2 - 79*y**2 - y - 29*y**3)*(-9 - 17 - 113*y + 26).\nAnswer: 3277*y**4 + 113*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + 0.02. Let i = -5.8 - -5.7. Let u = 10\/21 + -1\/3. Put i, g, u in decreasing order.\nAnswer: g, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a4650 (base 14) to base 9\nAnswer: -663654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/9 - 1346*q**4\/9 - 2210*q**3 - 98950*q**2\/9 - 164500*q\/9 = 0. What is q?\nAnswer: -658, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 247 - 167. Calculate the remainder when -3 - (-58 - 0\/2) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s - 5*t - 28, 4*s + 5*t = -34. Let q = 13 + s. Let z be (-5 + q)\/(2\/7). Solve 2*a - z = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*3*(-5)\/4. Let f = -4098\/5 - -90061\/110. Calculate the common denominator of f and ((-2)\/8)\/(q\/(-426)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.064333 rounded to 1 decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 10. Let d = m - -1. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.23 + -2.77. Let i(r) = -2*r - 1. Let d be i(-1). Which is the closest to d? (a) 0.3 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 205656?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**6 + 7559*f**5 + 253125*f**2.\nAnswer: -1440*f**3 + 453540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1773, 1774, 1775, 1776, 1777?\n\"Answer: i + 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110100 + -10101?\nAnswer: -11011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.3. Let t(g) = 7*g. Let s be t(-2). Let i = 12 + s. Which is the nearest to i? (a) y (b) 0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 + (-45)\/20. Let y = 0.068 - -0.432. Sort y, 0, p.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44188*c**5 - 5429*c**2 - 2*c?\nAnswer: -2651280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6687, 26239, 58659, 103947, 162103?\n\"Answer: 6434*j**2 + 250*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - x = -6, 0 = 5*r - 3*x + x - 14. Let z(y) = 5*y - 1. Let s(t) = 3. Let v(i) = 2*i + 7. Let n(m) = -5*s(m) + 2*v(m). What is r*z(u) - 3*n(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 2 + 0 + 10*l**2 - 1 - 11*l**2. Let p(u) = u**2 - 2*u + 3. Let g(q) = -3*p(q) - 2*r(q). Let a(y) = -y**2 + 1. Calculate -3*a(i) - g(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 3. Let h = 48 + -28. Calculate the remainder when h is divided by u(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-648)\/(-2080) - 2\/8. Let m = -166\/585 + c. Let k = -369\/1316 + -1\/188. What is the nearest to 0 in m, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -3*z**4\/8 - 4*z**3\/3 + 2*z**2. Let i be p(9). Let r = -62 - i. Solve 12 = 5*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283934610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 54. Suppose g = h - 2. Suppose 2*m = h*v + 3*m - 290, v + 4*m - 159 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-448)\/11520*(-4)\/14)\/((-7)\/28)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -248, -218, -188, -158, -128?\n\"Answer: 30*j - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/16*38. Let l = p - 16. Let r = 16 + -15. Calculate the highest common divisor of r and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*j**2 + 1\/4*j**3 + 0 - 1\/4*j + 1\/4*j**4 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18385607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-5)*z*z*z)\/(z*z**(-5\/4)))**(1\/10) assuming z is positive.\nAnswer: z**(41\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00642 - 3.27542. Let r = i + 278.069. What is r rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14566*c**5 + c**4 + 122*c**2 + 189 wrt c.\nAnswer: 873960*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 40*l - 33. What is the second derivative of -3994*v - v**4 + 3949*v + v**l - 8*v**4 wrt v?\nAnswer: -108*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787106 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 * 0.032559.\nAnswer: -0.1269801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 149, 366, 751, 1358?\n\"Answer: 9*z**3 + 3*z**2 + 31*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437 - -436. Put -3, -8, -4, m in increasing order.\nAnswer: -8, -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 42*b**5 + 80*b**4 - 18782*b**2.\nAnswer: -240*b**3 + 2520*b**2 + 1920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*o + 48, m - 5*o = 10 + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 5, b: 3, k: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358629 is divided by 679305?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/u**12)\/u*u))\/u*u**(5\/3))\/(u*u*u**(3\/16)*u*u*u*u*u\/u**(2\/3)*u) assuming u is positive.\nAnswer: u**(295\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 5*p**2 - 5*p - 9. Suppose 2*a = 10, -5*j - 5*a + 4 - 19 = 0. Let y = 1 + j. Is l(y) 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 -21035, -22220, -23405?\nAnswer: -24590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 20. Suppose -4*q + h*v + 28 = 0, 6*q - 2*q = -4*v + 52. Let k = 119 - 69. Calculate the highest common divisor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/(-6)*13. Suppose -2*i = -i - b. What is the greatest common divisor of i and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5027 - -5050. Let q(i) be the second derivative of i**5 + 0*i**2 + 0 - 1\/6*i**3 + a*i + 0*i**4. What is the second derivative of q(l) wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-39)\/9)*18\/60?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f + -14?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 30.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) -127846 (d) 1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3663 * -7\nAnswer: -25641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.880202 nanograms?\nAnswer: 0.000000880202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -13*f - 13*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 1. Let a(l) be the second derivative of l**4\/3 + l**3\/3 - 2*l**2 + 77*l. Let b(u) = 2*a(u) - 7*n(u). Determine b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = 17*d - d. Let p(a) be the third derivative of d*a**3 - 1\/24*a**4 + 0*a + 0 - a**2. Let x(s) = -2*s**2 - 42. Determine x(p(y)).\nAnswer: -2*y**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 8*g**3 - 6*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6\/145, -3, -91, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.36?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1190 divide 7673413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2355 (base 9) to base 4.\nAnswer: 123113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o + 6. Let a(d) = -d + 1. Determine 4*a(t) - b(t).\nAnswer: -15*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13050 and 1350?\nAnswer: 39150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 51*i**2 + 22*i + 91. What is k(26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -60*s + 419. Give x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-36) + (-60)\/27 + 2. Solve 0 = -4*g - 2 - k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2371 + -2371.006465. What is d rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -680 + 702. Solve 3*j + 0*m = -2*m + r, 3*j - 7 = m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 433855206?\nAnswer: 433855206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/3 + 9. What is the closest to -0.1 in d, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + (-2 + sqrt(637) + -4 - sqrt(637)))) + -2 + sqrt(637) + 3 + sqrt(637) + 2 + sqrt(637) + -1)**2 + 5.\nAnswer: 336*sqrt(13) + 5802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -79554*q - 10289. Is v(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 2, i: 2, a: 1, w: 13}. What is prob of picking 1 i and 3 w?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65393448 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0)*(2 + (-10)\/6). Let x be (h\/(-1) - 1)*7. Let c be (-4)\/(-6) - x\/(63\/507). Which is smaller: c or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + 4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14692 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 2}. What is prob of sequence gff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let p(g) = g**3 + 12*g**2 + 10*g - 4. Let t(i) = -4*j(i) - p(i). Calculate the remainder when t(-11) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39800404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + 9. Solve -q - 3*q - 2*o = 0, -q - 2*o = -d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - 1. Suppose 4 = -3*n + 5*n. Let g be d(n). Put -1, 4, g in decreasing order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -33.14?\nAnswer: -99.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80639936, 80639935, 80639934, 80639933?\nAnswer: 80639932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 133 = -5*l - 123, 0 = -3*l + 3*a + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074 = -4*a - c - c, 2078 = -4*a + 2*c. Let k be (-8 + (-20256)\/(-2538))\/(22\/603735). Let i = a - k. Are 1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3111 + 1?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3221 - -33303?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2\/19, -2\/15, 5 in decreasing order.\nAnswer: 5, 0, -2\/19, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -11. Let g be (3 - 2)*23 - (7 - 5). Suppose 1 = -q - l + g, -3*l = -w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 438. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 114, 173, 232?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38982.\nAnswer: 2, 3, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26465141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 14*z**3 + 13*z + 2 + 11*z + 2*z**4 - 26*z + 0 as c*z + a*z**4 + p*z**2 + i*z**3 + b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -18.7. Let o = 2.7 + t. Round o to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (-3)\/(-39) + ((-1290)\/26)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1381 divide 6141088802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - 3*h + 106, -3*j = -4*h - 67. Calculate the lowest common multiple of 5 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 8*m)*(-3 + 3 + m**3)*(0*m + 3*m + 2*m)*(-2 + 1 + 0 - 4 + 0 + 3 + (-3 + 2 + 2)*(1 + 3 - 3)).\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 1\/80*m**5 - 1\/32*m**4 - 3\/4*m**3 + 0*m + 27 - 9*m**2. Let x(v) be the second derivative of q(v). Factor x(h).\nAnswer: 3*(h - 3)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 557*j + 4 - 26 + 4.\nAnswer: 557*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 + 1433*u + 5596. Determine w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, m: 3}. What is prob of picking 2 j and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1630*b + 1 + 6340*b - 1186*b.\nAnswer: 3524*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -92, -120, -124, -98?\n\"Answer: j**3 + 3*j**2 - 62*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95) + (sqrt(95) - sqrt(95)*1)))\/(sqrt(35)\/sqrt(63)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-484)*(-8)\/(-6)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 191, -4\/5, -2, -1\/2, 1\/5?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 13. What is the remainder when 129 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -130, -63, 46, 203, 414, 685?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 2*p. Let b(l) = -l. Let g(n) = -2*b(n) - s(n). Let w be (-441)\/(-6) - (-2)\/4. Let c(a) = -36*a + w*a + 9*a**2 - 38*a. What is g(c(i))?\nAnswer: -324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3 - 5. Let l(f) = -f**2 - 8*f + 7. Let w be l(-9). Let t be 1\/w*72\/45. What is the biggest value in -0.1, t, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10580002 = 2*b, 4*g + 91009 = -b + 5381005. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -301. Let s = -197 + x. What is the greatest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 136 = 2*z, -t - 173 = z - 142. What is the common denominator of -167\/252 and t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17*k + 393. Let g be h(23). Which is the nearest to -0.1? (a) g (b) -0.2 (c) -0.4 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -a. Suppose -z + a*z = -1125. Let j = z + 75. What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -15*v - 9. Suppose 2*u - 2*j + 3*j = 12, -u = 5*j - 24. Put v, -0.06, u in ascending order.\nAnswer: -0.06, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 46*f + 129601 = 0. List the prime factors of f.\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 1330 = 14*j + 1426, j + 3*g = 4 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/3510 - 9\/6*(26 + (-18324)\/702)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 114, -14, 1, 5 in ascending order.\nAnswer: -14, 1, 4, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -67. What are the prime factors of -3 + n + (217 - 2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -0. Let w be 70\/22 + -2 - v. What is the biggest value in w, -2, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/844 and -67\/20.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 26*s = -203. Suppose -b = -4*i + 709, i + 2*i - 4*b - 548 = 0. Let q = i + -90. What is the remainder when q is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 4*i + 5. Let r be p(0). Which is the nearest to -1? (a) -28 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**2 - 29*t**3 + 59*t**3 + 4*t**2 - 31*t**3 as b*t**3 + v + j*t + c*t**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u + 10*u - 28350. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/1*3 - -3. Let k(n) = n + 40. Let u(l) = -2*l - 60. Let t(h) = 8*k(h) + 5*u(h). What is the units digit of t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-8)\/(-64))\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, -165, -11014?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26092251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84077 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1322 - 2?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*d**2 - 8*d**2 - 5*d**2)*(5 - 6 - 1) + (23*d + 4*d - 8*d)*(-4 + 5 + 2)*(d + d - 4*d) to the form b + y*d**2 + x*d and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 36 = 4*r, -16 - 7 = -4*a + 3*r. Let i be 56\/a - (-47)\/(-3). Do i and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.72 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3\/3 - 1105*m**2\/3 + 1090*m\/3 + 2200\/3 = 0 for m.\nAnswer: -1, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from patattpa. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924 = -31*l - 1893 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g**(1\/4)*(g**(-1\/5))**(-15))\/(g**(-3\/8)*g*g**5*g*(g*g\/g**(-1\/6)*g)**(-13)) assuming g is positive.\nAnswer: g**(899\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -112500 (base 6) to base 7\nAnswer: -40143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbbxpbu. What is prob of picking 1 u and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65888\/41, 1\/4, 24 in increasing order.\nAnswer: 1\/4, 24, 65888\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-14)*33999\/(-6476)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6952*y - 880. Let t be m(-85). What is t rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220151 (base 9) to base 7\nAnswer: -1054636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103422 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11637*d**2 + 4*d**3 + 11638*d**2 - 23275*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 0.4 (c) -4.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by 36.\nAnswer: 193\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 4*j**2 - 2728*j + 8192. Determine a(3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531 a factor of 1423176732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23.9 and 3.740056990938.\nAnswer: -20.159943009062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6 + (-228)\/(-9) + -23. Suppose -3*l - 4*u = 46, u = 5*l + 94 - 2. Let i be (-3)\/(-4)*4\/l. Is i bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8342728.\nAnswer: 2, 653, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/256145 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:05 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211122010 (base 3) to base 2.\nAnswer: 1101101000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y - 1567 - 99 = 68 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s - 3*f = -120, 30 = -s - 3*f. Let w be -1*(-9)\/((-27)\/s). Suppose 3*r + 15 = -3*n, -5*r + n = -n - w. Which is bigger: 1\/19 or r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*d + b + 6, 0 = -4*b + 16. Let z = -6 - -7. Let f be z*2\/(-15)*d. What is the closest to 2\/7 in f, -0.1, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 divided by -1012?\nAnswer: -515\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -l + 1076, 3*j = 8*j - 20. Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 498*x**4 + 207*x**4 - 114*x**4 + 97*x**4 + (2*x + 1 - 1)*(-2*x**3 + 0 + 0) as w*x**4 + u*x**3 + m*x**2 + b + t*x and give w.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/33 + -5\/132. Is m greater than -1\/1658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5*2900\/(-348). Solve 2*x + 11 = 3*z, z + 6*x - s*x - 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 + 2*h + 1. Let j be v(-1). Suppose -3*i + 3*k - 3600 = i, 0 = -j*i + k - 4500. Let w be (6\/5)\/(27\/i). Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11235041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5080 (base 11) to base 15.\nAnswer: 1ee8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*x + 110 = 772*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-7 - 11) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, d: 7}. Give prob of sequence tttt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -108, -114, -122, -132?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 61*l**2 + 331*l + 67. Let j be f(-55). Solve -j = -68*a + 64*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, 5 in increasing order.\nAnswer: -5, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079 = 32*i + 3*n, 0 = -431*i + 427*i - 4*n + 124 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/((8\/(-1632))\/((-2)\/4))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035509 rounded to seven dps?\nAnswer: 0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -31285412 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -119\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 5*t + 36, 3*t = 5*q + 71. Let c(u) = -9*u**2 + 6*u. Let j(b) = -19*b**2 + 13*b. Calculate q*c(y) + 6*j(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.2, -7, -0.4, -28\/9, -4 in descending order.\nAnswer: 1\/9, -0.2, -0.4, -28\/9, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5776922 and 1559702.\nAnswer: 6694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 7679.22376614 and 3.2.\nAnswer: 7682.42376614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -46. Let p be 9\/k*15\/(-4). Factor -p*n - 3\/4*n**2 - 3\/2.\nAnswer: -3*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 10*k + 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -747\/4. Let a = -3 - 0.6. Let x = -1.6 - a. Is p greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n**4 + 112*n**3 - 65064*n**2 + 719936*n + 163200 = 0 for n.\nAnswer: -68, -2\/9, 12, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -39. Suppose u*s = -4*s + 28. Suppose -540 = -4*t - 4*i - 0*i, s*i + 150 = t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/5)*q)**(10\/13) assuming q is positive.\nAnswer: q**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -356, -391, -440, -503?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 0) + 0 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9. What is the remainder when 18 is divided by 2 - 0 - o*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 5*a - 10*a - 23*a to the form t*a + o and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 520914859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2378460 and -193\/2378460.\nAnswer: 2378460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from cycycc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(1\/25)*(v\/(v**19*v*v))\/v**(-5\/2) assuming v is positive.\nAnswer: v**(-877\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392285963.\nAnswer: 3, 2069, 224309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20375, 40751, 61127, 81503, 101879, 122255?\nAnswer: 142631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-130)\/40)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 + 0 + 3. Suppose -10*w + 8 = -8*w. Suppose 0*s = -n*s - w. Put 5, 3, s in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + 10 + (-4)\/(-1). Solve -n*t - t = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 234\/8. Let o(v) = -v**2 + 17*v - 25. Let c be o(15). Suppose -8*h + c*h = -696. Calculate the highest common divisor of h and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/4*r**4 + 0 + 0*r**3 + 0*r**2 + 2*r. Let u(f) = f. Give w(u(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -523, -784, -1045?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let h be m(-1). Suppose -15 = -5*i, 2*s - 51 = -2*s + 3*i. Let x be s\/10 + (-2)\/4. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 0 (c) -0.2 (d) -2\/227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from {c: 6, u: 1, p: 5, z: 2, g: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.25 - -3.25. Put p, -36, -0.5 in ascending order.\nAnswer: -36, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4496968292.\nAnswer: 2, 1124242073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 3 - 6) + 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1767673?\nAnswer: -1767678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 - 1100*w**2 - 6385*w + 7490 = 0.\nAnswer: -214, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9297 and -39\/2.\nAnswer: 18594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-14 - -3) + -2 - -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35528557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78270?\nAnswer: 2, 3, 5, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 23 (c) -5\/2 (d) 7 (e) -3\/2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3056036148.\nAnswer: 2, 3, 11, 2572421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3797 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 174.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 20. Suppose 11*o = 2392 - 16. Suppose 0 = -h*d + 119 + o. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185758 is divided by 2444.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 95?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5\/8 - 3*q**4\/8 + 3*q**3\/4 + 3*q**2\/4 - 3*q\/8 - 3\/8.\nAnswer: -3*(q - 1)**2*(q + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*t**2*v + 180*t**2 + 2*t*v + 66114*v wrt t.\nAnswer: 160*t*v + 360*t + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -979*x**2 - 826*x**2 - 3*x + 1919*x**2.\nAnswer: 114*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**2 - 138*w + 39. Give u(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12735)\/3861 - 9072\/(-2772).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 - 211. Solve -f = -t + 2*t, -y*t - f = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 3:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-416)\/(-143) + (-30)\/(-330). Factor 1\/5*m**s + 3\/5*m**5 + 0 - m**4 + 0*m + 1\/5*m**2.\nAnswer: m**2*(m - 1)**2*(3*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 = -18*j - 17*j + 4*s, -4*j + 2*j + 4*s + s = -33 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 - 3. Let a(c) = -6*c**2 + 1. Let v(w) = 7*a(w) + 4*n(w). Differentiate v(s) with respect to s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 741 + 41?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -117, -398, -947, -1854, -3209?\n\"Answer: -15*j**3 + j**2 - j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/45 - 33. Factor k(a).\nAnswer: -a**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1792)\/(-192)*195\/108 + 8 + -25.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7818 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1581 - 1587. Let a(h) = 7*h + 19. Give a(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.685*9\nAnswer: -114.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvyyvyvvvyv?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2\/5, 0.3, 2.22 in ascending order.\nAnswer: -5, -1, -2\/5, 0.3, 2.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 7 - 15 + 11. Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*a - 4*a + 10*a)*(1 - 1 + a) in the form g + p*a + c*a**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17390 and 3145.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293*y**5 - 304*y**2 wrt y.\nAnswer: 17580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 38650795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 193471993502 take away -0.443?\nAnswer: 193471993502.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**2 + 2*b. Let y(c) = c**3 - c**2 + c. Let s(d) = x(d) - 2*y(d). Find the third derivative of s(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124700 and 49880?\nAnswer: 249400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7371894 divided by -29606\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4025 - 7816 = -505*r + 2804 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - -0.4. Let g = 0.9999948 - w. Round g to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u + 9. Let x(p) = 1. Let t(q) = w(q) - 3*x(q). Does 12 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 8 + 14 - 425*l - 1285*l + 52.\nAnswer: -1710*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/125 and 8\/(-55)*12*(-18)\/(-27)?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7855461 and 872829.\nAnswer: 7855461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6298 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -8*d - 27. What is the lowest common multiple of 6 and (-4)\/d*(-9)\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, -2\/11, -710, -5, 1\/2 in ascending order.\nAnswer: -710, -5, -2\/11, 3\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66271 = 28*a - 92629. List the prime factors of a.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.09, 2\/380987 in decreasing order.\nAnswer: 0.09, 2\/380987, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -40*r + 6831. Calculate c(168).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from eybbbebybwew?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.3, 0.1, -504, -2 in ascending order.\nAnswer: -504, -2, -0.3, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)*k)\/((k\/(k**(1\/2)\/k*k))\/k))\/(k**(-2\/3)*k\/(k*k**(-5\/3)\/k)*k))**33 assuming k is positive.\nAnswer: k**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j + 2*i - 4, 3*j - 4*i - 29 = 0. Let m(d) = -d + 3. Let l be m(-4). Solve 40 = 4*s - l*z + j*z, -2*s = 2*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3050, -3225, -3394, -3557, -3714?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7993689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 11. Let l be j(-8). Suppose -l*z = -20 - 37. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/7, -4\/7, 35 in decreasing order.\nAnswer: 35, 2\/7, 2\/13, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 141 (b) 0.123 (c) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*f - q, -f + 0*q - 2*q = -1. Suppose -51 = -4*t + f*t. Suppose t + 1 = 4*u. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 3. Let c(o) = -o - 2. Let g be c(-7). Suppose -3*l = -g*s + 153, -3*s - 2*l = 2*l - 86. What is the highest common divisor of s and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 23 - 3*d + 7 + 0 - 18. Give m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 284 (b) -1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 39*j - 2.\nAnswer: 39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-22) - (3 - 536\/44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Suppose -5*a = 2*l - 7*l - 275, a + 3*l - 35 = r. Suppose y + 3*o + 2 = -0*o, -4*y + o + 44 = 0. What is the highest common divisor of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*j. Factor 10\/7*z**3 - 2\/7*z**4 - 12\/7*z**j - 8\/7*z + 16\/7.\nAnswer: -2*(z - 2)**3*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*k + 23, k - 2*l - 10 = 12. Suppose 4 = -10*r + k*r. Find the third derivative of 2*u**r + u**6 - 6*u**2 - 6*u**6 wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjjhjjhhjjjjjhjjh. Give prob of sequence hjh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165627843 divided by 3?\nAnswer: 55209281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 4*s**2 + 28*s + 33. Is c(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135640*w + 0 + 4 - 1 - 3.\nAnswer: -1135640*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*a, -4*a + 0*a - 4 = 4*g. Suppose -3*j - 7 = g*j. Put 9, 1, j in decreasing order.\nAnswer: 9, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1122 + 2739. Let h = -982 + 986. Suppose -h*c - 7*c = -s. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 22*i = -88. Suppose -36 = -4*j - 124. Let q = i - j. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2960 + 991 + 980 - 5*u**3 + 989.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkllniq. Give prob of sequence ilx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*o - 52, 5*o + 233 = 2*z + 183. Solve 0 = 15*x - 0*x + z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 176*p - 878. Let j be k(5). Sort -5, j, -158 in increasing order.\nAnswer: -158, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 118\/9, 0.06, 5, -0.3, 6, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14 + (-42 - -49) + -89 + 41.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897 by -3.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 2*v**2 + 3*v**2)*(10*v**2 + 2*v - 2*v - 614*v**2).\nAnswer: -604*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmkmmmklckklkmmmamc. Give prob of sequence ll.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 0*z**2 + 3*z**2 + (-1 - 15 + 4)*(-5*z**2 - 3*z**2 + 5*z**2).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4203, 4381, 4679, 5097?\nAnswer: 5635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 5*v - 11 - 9 + v + v. Give d(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 19 = 2*z, 5*z - 2 + 1 = -3*m. Find the second derivative of t**2 - 4*t**z + 0*t**2 - t - 2*t wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 4*u**2 - u**2 + 6*u**2 - 3*u**2 - 4*u**2 + (-4 + 4 + 2)*(3*u**2 + 2*u**2 - 4*u**2) + 4*u**2 + u + 115*u**2 + 67*u**2.\nAnswer: 185*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 3 - -136) + (4 - 2). Let v = u + 0. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*k + 2489 + 1915 + 832 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6699 = q - 159. Let t be q\/16 + 1 - 3\/12. Let m = 133 - t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5 = 0, 973*t - 11 = 967*t - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 625.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(7000\/(-128))*56\/16.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255360)\/(-173280)*(-4)\/(8\/(-171)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and (-75460)\/(-6864) + 1\/(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c**(1\/3)*c*c)))\/(c\/(c*c**(2\/7))*c))**(-8))**(14\/11))**(-37) assuming c is positive.\nAnswer: c**(20128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -34. Let f = 17 - v. Solve b - h - 1 = 3*b, f = -2*b + 4*h - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -224 + 781. Let u = v - 2786\/5. Which is the closest to 0? (a) u (b) -2\/19 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301779926 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43139080?\nAnswer: 2, 5, 227, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(2736)*2 + -3)*1)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + -5*28\/(-35). Suppose 0 = 4*w - 1 - 11. What is the highest common divisor of k and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120002 - 11012022?\nAnswer: -10122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 421 - 386 = 0, -4*i + 3*h = 5. Sort -4, -5, 5, i, 14.\nAnswer: -5, -4, i, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*m = 854*m - 1919 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 421 = 2*f, 0 = f + 2*f - 5*z - 584. Let o = 62 - f. Let m = o + 200. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 3 (c) -0.1 (d) 1\/2 (e) -1 (f) 0.3 (g) -3.9261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-28)*10*13*(-119)\/(-1989).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/1495)\/(6\/(-138)). Let z = 2 + -2. Sort b, -5, z.\nAnswer: -5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 - 421 = -45*k + 352 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -13. Let h = 6.993 + m. Round h to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((11\/55)\/((-2)\/5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355 + -352. Let s(p) = 5*p**3 - 3 + 15*p**3 - 2*p**2 + 6*p**2. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/11, 5, -3, -5.\nAnswer: -5, -3, 5\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + z. Let p(b) = 10*b**2 + 4*b. Let w(a) = 4*h(a) - p(a). Let n(t) = -84*t. What is w(n(k))?\nAnswer: -14112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(4\/(-12))*(-428)\/8774?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d + 2*d. Let y(c) = c**3 - 24*c**2 + c - 26. Let q be y(24). Sort q, 0.01, -0.1, d in increasing order.\nAnswer: q, -0.1, 0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/94, -0.2, -0.3 in descending order.\nAnswer: -3\/94, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p*p\/p**(3\/4)*p*p\/(p**(-1\/2)*p)*p*p**(-6\/5))**(-11\/3) assuming p is positive.\nAnswer: p**(-407\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 1. Let q be p(-1). Solve -q*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(2 - 6)*5. Suppose 0 = 3*q + q. Sort 2, g, q in increasing order.\nAnswer: q, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 8374029?\nAnswer: -8374029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 7. Let u be ((-6)\/9)\/(26\/(-195)). Let n(w) = 4*w**2 - 18*w - 15. Let o be n(u). What is l(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**9\/60480 + n**8\/10080 - n**7\/1260 - n**6\/720 - n**5\/60 + 5*n**2. Let l(q) be the third derivative of x(q). What is l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30199580 and 121\/974180.\nAnswer: 30199580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-4*q + q + 2*q) + 1 - 1 - 2*q - 2*q + 3 - 3 + 0*q + 0*q - 4*q - 2*q - 4*q + 5*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 32. What is the least common multiple of p and 4\/14 - (-40)\/7?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 34?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 25*c - 9*x = -43*x + 388, x - 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*2\/(2 + -30).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 1682*z\/3 - 97556\/9.\nAnswer: 2*(z - 58)*(z + 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -p - 1, -5*p - 29 = 165*s - 166*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 1. Let d = -1.1 + 1.1. Let w = -4 - d. What is the smallest value in w, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from cgbgrlq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 82*r + 514. What is a(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30183?\nAnswer: 3, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -12 - ((-26 - (-10 - 2)) + 5)) + 126\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 1, 3 in descending order.\nAnswer: 10, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*-6)\/(sqrt(9) - (sqrt(36) + sqrt(576))\/sqrt(4)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1.5, -0.26, -0.1, 0, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 7*z**2 + 9*z**2 - 2*z**2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from gggggbgbggggg.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-142485\nAnswer: 4274.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1359059 and -0.1.\nAnswer: -1359059.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 34 = -5*z, 5*c - 39 = -3*z + 2*z. What is the lowest common multiple of 33\/4 + (-13)\/52 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**5 + 0*p**2 + 5\/3*p**3 + 3 + 5\/8*p**4 - 5\/12*p**6 + 0*p. Let t(l) = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106645 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 71. Give g(31).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 217 and -153599.\nAnswer: -33330983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 + f**3\/2 - 6*f**2 = 0 for f.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 13*w + 4. Let o be i(-13). Let v(x) = x**3 + 3*x**2 - 6*x - 9. Let y be v(-4). Sort o, y, 7, 3 in descending order.\nAnswer: 7, o, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 8118 - 1592. Is r a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14292500 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 542401*h**2. Let p(m) = 2*m. Determine n(p(u)).\nAnswer: 2169604*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -193 + 211 + (-13 - -53)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66408587 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 10 = -1218*q + 1220*q, 2*q + 4*t = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 + 236541?\nAnswer: 236643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4041?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {t: 3, f: 1, p: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-2)*(3 - (-7)\/(-3)). Let p be y\/6 + (-196)\/120. What is the smallest value in 4, p, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmdp when four letters picked without replacement from {t: 1, p: 4, d: 2, m: 1, l: 6}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33111 - -4?\nAnswer: -33103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28083*h**2*n**3 - 311*h**2*n + 2*h*n - 81771555*n**3 wrt h.\nAnswer: 56166*h*n**3 - 622*h*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*c + 15, 40 = 4*c - p - 3*p. Calculate the highest common divisor of 30 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*q**2 - 6*q + 3*q + 2*q + 4*q - 2*q - 319*q**2.\nAnswer: -269*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 12*r = 385. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -4) + 1*2\/2. Solve 0 = 2*a + 3*a + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -74 (b) -1 (c) -1\/6 (d) 0.4 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2190000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1196490, 1196491, 1196492?\nAnswer: 1196493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 47\/3. Let g = 23272.797 + -23272.8. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) o (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3*a - 1. Let i be n(2). Let c(o) = -o**3 - 2*o**2 + 2*o. Let r be c(i). Let j = r - -5. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 3, l: 1, e: 12}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39864\/(-110))\/((-3)\/30). What is the derivative of -19 - 3762*f - 12 + f**2 + s*f wrt f?\nAnswer: 2*f - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1470 - -5 - 2*1. Let c = -5805\/4 + w. What is the common denominator of 25\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6304 - -0.1643.\nAnswer: 6304.1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70826812 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 10*i**2 - 3. Let s be c(10). Let q be s\/9 + (-35)\/3. Is (q\/3 - -30) + -3 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose 2*w = -b*w + 130. Calculate the greatest common factor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13633 + 531655\/39. Let k = 2\/13 + o. Let b be (1 + -3)\/(-2)*3. Sort -1, k, b in descending order.\nAnswer: b, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 6*j + 52, 7*u + 31*j = 36*j + 78 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 190*l**2 + 13*l + 10. Let i(q) = -281*q**2 - 20*q - 16. Calculate -5*i(g) - 8*n(g).\nAnswer: -115*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, g: 1, b: 3, l: 6, p: 2}. Give prob of picking 1 l and 2 b.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/780 and 23\/1287624.\nAnswer: 6438120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 5:43 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)\/(t\/((t\/(t*t**6))\/t*t)*t*t)*(t**0)**(-3\/7) assuming t is positive.\nAnswer: t**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -106*g - 88. Let w be h(-1). Is w greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88560 a multiple of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 628 + -238. List the prime factors of j.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 - -126. Calculate the lowest common multiple of 12 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 58 = -22*x. Let k(n) = n**2 - 10*n + 18. Let a be k(8). Solve 4 = a*m + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 310*l + 1961. What is r(-6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8521776 years to centuries.\nAnswer: 0.008521776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7435247 (base 8) to base 3\nAnswer: 10201122112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*5*(-6)\/120\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1997 divided by -1.\nAnswer: -1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567 at most 2899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5116 is divided by 152.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3\/2 + 30*k**2 - 363*k\/2 + 315 = 0.\nAnswer: 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000727285758 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74bb20 (base 14) in base 9?\nAnswer: 7381427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 53*j + 4. Is 22 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2 + 2*t + 32. Suppose -29 = -5*m + y, y = -2*m + 11 + 2. Let u be a(m). Let f = -93 - u. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i\/(i\/i**2)))))\/(i*i*i*i\/(i**(5\/4)*i)))\/((i\/(i*i\/(i**0\/i)))\/(i*i*i*(i**(2\/9)*i)\/i)) assuming i is positive.\nAnswer: i**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -51*w - 1457. Determine j(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 5. Let m be b(0). Suppose -m = -n + 8. Calculate the remainder when n is divided by (14\/(-4))\/((-1)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 33638087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -45*h**3 - 3 - 8*h + 46*h**3 + 5*h**2 + 10*h. What is l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 48 = -34 + 62 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = 0. Suppose -i - 1 = -4*n, -i - 5*n + 0 + 8 = v. What is the remainder when 4 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024505 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, j: 1, t: 1, n: 1}. Give prob of sequence njo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -55. Suppose -t*c - 42 = -32*c. Find the second derivative of -l + 2 + 3*l + 5 - 47*l**c - 3*l wrt l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707317229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*o - 33, q - 3*o - 28 + 9 = 0. Let w(d) = -d**3 - 10*d**2 + 5. Let m be w(-10). Find the first derivative of 0*n**4 + n**q + 3 - m*n**4 wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -445*i - 62635. What is p(-141)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(162) + -1))**2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 92665 + 92672 = 2*t, -3*t = -4*y - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 6, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i + 3. Let l be r(-3). Suppose d + b + 3 = l, -3 = 5*d - 4*d + 5*b. Let c be 559\/156 - (-1)\/d. Which is smaller: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 12980 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - n + 2. Let g be (6\/(-8))\/(2\/(-2804)). Let f = g + -1027. What is the common denominator of f and z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8767 and 43038?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -16*y + 420. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2843 + 667*h**2 + 5692 + 260*h**2 - 73*h + 2*h**3 + 73*h wrt h?\nAnswer: 6*h**2 + 1854*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.7. Suppose -2 + 6 = 4*z. Let o = 0.1391 + 0.2609. Which is the third biggest value? (a) o (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, o: 1, h: 12}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141741425 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchzhhhhhhzahh. What is prob of sequence cccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f - 121 = 467. Solve 0 = b - f*b + 52 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y**2. Let k(g) be the first derivative of g**2 - 16. What is k(b(a))?\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 2 + 4*i**4 - 2 - i**2.\nAnswer: 4*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148366119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -3*h**2\/2 - 5*h - 15. Let j = -8 - -13. Let y(z) = 2*z + 3. Determine j*y(i) + 3*v(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 4*b + 3*b)*(-2610 + 6020 + 4829) to the form m*b + k and give m.\nAnswer: 24717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 31*r - 30*r - 12, 0 = 4*l - 3*r - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 31\/101487?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101 + 101?\nAnswer: -11111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 3*r - 76. List the prime factors of l(14).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 28. Calculate the highest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1b5a?\nAnswer: -1b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.5574 + 0.0426. What is the closest to -0.1 in i, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8923*0.1\nAnswer: -892.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*30\/70)\/((-108)\/4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 55*v**3 - 2*v + 1. Let p be b(1). Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) - sqrt(176)*3) + -3.\nAnswer: -3 - sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 3*x - 7*x - x**4 - x**2 in the form i*x**2 + c*x + q*x**4 + o*x**3 + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100283 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.1. Let i = -1 + d. Let o = 2.7 + -2.6. Is o > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:07 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 2*n + 8, -2*o + 8 - 14 = -n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let y(f) = 14*f + 19 + 41*f - 19. Calculate u(y(i)).\nAnswer: -55*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10360\/1160 - (1 + 62\/(-58)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110141233 + -1?\nAnswer: 110141232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 29. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 + 0.59. What is the nearest to 0 in -2\/5, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 + 20*s - 4. Let y be a(10). Let n be 1\/y + (-116)\/(-16). Solve -2*z + 7 = 4*q - n*q, -2*z + 2*q + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 0*r - 540 = 0. What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/13 and 0 + (-895)\/(-18) - (-16)\/(-72).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.645002 millilitres in litres?\nAnswer: 0.000645002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1908, -4 in increasing order.\nAnswer: -1908, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7 - 4*g + 3*g + 4*g. Give s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 6 - 1 + 2 + 2. Let w be i(-3). Let y(k) = k**2 + 7*k + 9. Let h be y(w). Solve -z = x - 0*x - 7, h*x = 3*z - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003629106 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 3*m**3 - 11227*m**2 - m - 4 + 11227*m**2 to o*m + v + z*m**3 + i*m**4 + t*m**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 - (-11 + 18 - 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 + -1253\/6. Let b = -71576 - -8446049\/118. What is the common denominator of f and b?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22985*g + 22970*g + 195 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 10, -4*g + 3*k + 20 = 2. Suppose g*s = 2*s. Is -6\/5 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 n when four letters picked without replacement from nnnncncn.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d + 4588 = -8620 + 1868. Solve -22*j + d = -49*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 + 191 = -8*c. Let y = c + -13. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*f**2 + 232*f**2 - 38*f**2.\nAnswer: 259*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let o(p) be the first derivative of 717*p**2\/2 - 325. Calculate c(o(d)).\nAnswer: 1434*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9549 = 5966*c - 4727*c - 42489 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -217192.\nAnswer: -1\/217192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27339.\nAnswer: 3, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521 + -19160848601.\nAnswer: -19160848080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {i: 5, x: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333387 is divided by 1214.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 2*h)*(-4 + 4 - 1) + (0 + 2 - 3)*(-2*h + h + 2*h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r + 1. Let l(m) = 107*m**2 + 1 - 19*m**3 - 2 - 31*m - 14*m**2 - 147*m**4. Let j(n) = -5*a(n) - l(n). Suppose j(x) = 0. What is x?\nAnswer: -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -4a5a?\nAnswer: 4a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 42 = -2*x. Suppose o - 4*g - 104 = -3*o, -5*o + 4*g = -130. What is the remainder when o is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 13. What is o(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from hrrrrrrhr?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f + 8*f + 0 + 29*f + 19*f + 7.\nAnswer: 22*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66.5? (a) -1.4 (b) -2\/17 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 4*o, -o - 6*i = -i - 1. Let l(b) = 172*b**2 - 3*b - 1. Let n be l(o). What is the highest common divisor of 42 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1638)\/(-38) + -1 + ((-38320)\/(-21076) - 402\/209)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q*s**5*u - 86*q + 123*s**3*u + 5*s*u + 5*s + 2*u wrt s.\nAnswer: -80*q*s**3*u + 738*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from eeeaexeaeaaeaeaaxed.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1925 - -29594. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 + -434\/3. Let l be (32\/(-6))\/(14\/(-279)). Let q = 106 - l. What is the second smallest value in q, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -43. Suppose z = -c*z + 18. Solve 0 = -3*t + d + 10, -3*t + 2*d + d = -z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {h: 3, j: 1, m: 4, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 646085 + 323043 + 323045.\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043869 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 69 - 36 = 0. Suppose -m*n + 38*n - 103491 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228036, 0, 1, 13 in increasing order.\nAnswer: 0, 1, 13, 228036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240948*o**4 - 70*o**2 - 771*o.\nAnswer: -5782752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.0221?\nAnswer: -0.00442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 2. Suppose 0*g = -d*g - 20. Let f = g - -26. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -41 + 61 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*-6*sqrt(475)*2*-3*-1)**2 + -2 + 2.\nAnswer: 615599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 170 = 2*i, 5*t - 2*t - 2*i = 190. Suppose t = -16*u + 20*u. Calculate the lowest common multiple of 11 - (8\/2 + -2)*-2 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-3 + 4) - 44 - 2. Let f = -52 - o. List the prime factors of (285\/(-20))\/(1\/f).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13\/6)\/b**(21\/5))\/(b*b**(-2\/113))**(-22) assuming b is positive.\nAnswer: b**(51677\/3390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20940)\/3141*(-72)\/45?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = 30 + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11819797469 from -2676.\nAnswer: -11819800145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**7\/1890 + x**6\/135 - 4*x**5\/135 - 113*x**2. Factor f(c).\nAnswer: -c**2*(c - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**2 - 3*b + 8. Let h(y) = 7*y**2 + 2*y - 5. Let g(c) = -2*c**2 - 2*c + 2. Let q be g(2). Let u = q - -5. What is u*f(a) - 8*h(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*o + 8. Suppose z - 2 = -i + 2, -o*i + 3*z - 2 = 0. Suppose 3*j = -i*j + 500. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*x = -15, 5*z - 5*x = -0*x + 15. Suppose 11*d - 6*d - 160 = z. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwfgmhghh. What is prob of picking 1 m, 1 w, and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13465 is divided by 4484.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 8*s + 1. Let c be i(8). Let o be (1\/c)\/((-1)\/(-96)). Let v = 7 + 9. Calculate the highest common factor of v and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 38*v + 13*v)*(-2 + 5 + 2)*(1 + 0 + 0).\nAnswer: 265*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7486 divided by -394.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 413072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42491 is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*(-2 - 48\/(-10)). Solve -a*g - 4 = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1441102.8 and 0.4.\nAnswer: -576441.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - n - 3348 = 0, -n - 4*n + 10 = 0. Suppose 0 = -9*v + q + 1762. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5. Let c = -7 + 6. Let a(u) = 1. Determine c*j(o) + 5*a(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -164, -2, 77, 1\/5, 2?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -4*l**7\/105 + l**5\/20 + 13*l**2. What is the third derivative of p(j) wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1069 + 1078. Solve -7*d = -3*d + n + p, 6 = d + 3*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 93*h**2 - 86*h - 7996. What is l(-93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**2*u))\/u*u)\/(u**1\/u))**(4\/21)*u**(-2\/23)*u**(-3)\/u*(((u\/(u*u**1*u))\/u)\/u*u)**(-34) assuming u is positive.\nAnswer: u**(2252\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. Let b(c) = -c**2 - 10*c + 7. Let n be b(-11). Let q = 7\/9 - 11\/18. What is the nearest to 2\/5 in n, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2014, 2007, 2006, 2011, 2022, 2039, 2062?\n\"Answer: 3*v**2 - 16*v + 2027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.4 and -525\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.7. Let n = g + 1. Which is the closest to 0? (a) n (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 44*i + 4408. Give k(-100).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 189\/(28\/4) - 2. Let h be -3 + 535\/l + (-3)\/(-5). Solve h = -3*f + 4*g, -f - 3*g + 0*g = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 6}. Give prob of picking 3 i and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 81.135.\nAnswer: -40.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**6 + 26*l**5 + 1145*l**3 + 254893*l**2?\nAnswer: -360*l**3 + 1560*l**2 + 6870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*m**2 - m**4 - 21*m**3 + 3*m**3 - 14*m**2 - 2 + 35*m**3 to the form v*m + x*m**4 + q + y*m**3 + b*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 + 7*w + 5. Let d = -218 - -222. Let y(v) = 2*v**2 - 10*v + 3. Let r be y(d). What is u(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-5070)\/(-455)*-28*(-8)\/(-96)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12315626.\nAnswer: 2, 23, 79, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 10 + 25 - 6, -3*y = -84*x + 243 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 + 0*q**3)*(q + 0 + 0)*(0*q + 2*q - 6*q) + (2*q**5 - 3*q**5 + 3*q**5)*(1 + 1 - 1).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 57*g - 2564. Calculate f(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-2\/25))*f**3*f*(f**(-2\/3))**(6\/11) assuming f is positive.\nAnswer: f**(1022\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Suppose 2562 = -0*h + 14*h. Let z(q) = -21 + 43 - h*q**2 - 22. What is a(z(b))?\nAnswer: 366*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009084981 rounded to six dps?\nAnswer: 0.000908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32802 and 242.\nAnswer: 360822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + 15\/5 - -4. Let w(x) = -x**2 - 5*x + 1. What is the remainder when 8 is divided by w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let b(t) = 6*t. What is b(h(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 57*p**2 + 2*p. What is f(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9439 + 8aa?\nAnswer: a238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2139493467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m - 80. Let q be a(-5). Suppose 0 = 2*d - h + 13, -q*h + 35 = -6*d + d. Let i(z) = -z**3 - 5*z**2 + 7*z + 3. Calculate i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g - 4*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, -4*z + 10 = z - a. Let f(t) = 27 - 6*t**3 + 7*t**3 + t - z*t**2 + t + 11. Is 12 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + 36\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bssa when four letters picked without replacement from sssqqqqdsabsddasds?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-296)\/(-111)*(6 + 0). Let 16 - 4*n**4 - 207*n**3 - g*n - 8*n**2 + 223*n**3 - 4*n**2 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518943?\nAnswer: 3, 172981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*k + 2*k - 157 = 0, 0 = 2*z - 3*k - 71. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.57466 - -0.7091. What is v rounded to 3 decimal places?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 30, 135, 356, 735, 1314?\n\"Answer: 7*k**3 - 5*k**2 - 3*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66*2\/(-4)*-1. Let y = u - 31. Calculate the remainder when -1 - 1*7\/(-1) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (323\/(-2))\/((-61)\/122)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 14. Let l be v(10). Suppose 0 = -q - 2*r + 144, l*q - 582 = -2*r - 0*r. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4968, 13181, 26870, 46035, 70676, 100793, 136386?\n\"Answer: 2738*i**2 - i + 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 877*u**3 - 14 + 880*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2243*k - 161493. What is j(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 1. Let z be w(2). Let r = z - 3. Find the common denominator of 87\/4 and (-109)\/30 + r\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49750747 and 13688.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1556\/351 - 48\/13. Let u = z - 26\/27. What is the second smallest value in -5, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 5*k = -12*b + 45, -k = -4*b + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.5 + -37.3. Sort u, -2\/3, -1\/2 in decreasing order.\nAnswer: -1\/2, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 25468611?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 10?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 43. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {j: 1, g: 5, b: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 16 - 25)*(-1 + 1 - y)*(-19*y + 11*y - 8*y).\nAnswer: -512*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:15 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 8. Is 4 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o - 2*o**3 + (-10*o - 26*o + 8*o + (-2*o + 2*o - o)*(1 + 4 - 4))*(-3*o**2 + 3*o**2 - 4*o**2) + 9*o**3 - 13*o**3 - 8*o**3.\nAnswer: 102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 1 = -q, 5 = -5946*r + 5941*r - 5*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -47*t**8\/336 - t**5\/20 + 7*t**3\/6 + 5*t**2 - 3*t. What is the third derivative of j(c) wrt c?\nAnswer: -2820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3923557 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 - 4*a. Let r be m(-5). Let p(z) be the third derivative of z**6\/120 + z**5\/10 + z**4\/6 - z**3\/6 + 64*z**2. What is p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 102, 169, 266, 381, 502, 617, 714, 781?\n\"Answer: -2*w**3 + 27*w**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 3. What is the lowest common multiple of z(3) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:30 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80 - 622 - 22 - 10*x**2 - 6*x + x wrt x?\nAnswer: -20*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -31 + -4 - (-1 + (1 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, c: 3}. What is prob of sequence dnc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1842\/(5 + 1). Suppose 0 = 8*j - f - 1887. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 36. Let f = 14 + j. Let r = 3.5 - f. Sort 11\/2, r, -2\/7.\nAnswer: r, -2\/7, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8801 - 8806. Which is the nearest to z? (a) 4 (b) -0.06 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998 + 3580 = 171*v + 935 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -20*o + 5. Let r(t) = -30*t + 8. Let s(d) = -8*j(d) + 5*r(d). Let k(f) be the third derivative of f**5\/30 + 2*f**2. Calculate s(k(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**3*l**3 - 47*k**3*l**2*n + k**2*l**3 - k**2*l*n - 23*k**2*n + k*n wrt k.\nAnswer: -24*l**3 - 282*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let w = -1168\/95 + 62\/5. Let y = 4167 - 4164. What is the biggest value in w, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m + 55. Suppose 5 = -5*u + k, 10*k - 25 = -u + 5*k. Let b be j(u). What is the greatest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1159, -0.3, -0.02, 4, -1\/4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012090 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 228*a**3 - 3879*a**2 + 13770*a.\nAnswer: -3*a*(a - 3)*(a + 34)*(a + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 49296660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1886 is divided by 612?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -158*a**3 - 2*a**2 + 28*a + 64. What are the prime factors of w(-4)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133062?\nAnswer: 2, 1066531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45085422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-30)\/25)\/((-20)\/(-150)*-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*q - 3*u - 8, -3*q = 4*u - 28. Suppose 0 = q*f - 84 + 32. Let l = f + 30. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57721078579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q**2 - 3380712*q. Let x(p) = -2*p. Calculate x(s(i)).\nAnswer: 32*i**2 + 6761424*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 32*l**2 + 12*l**2 + 19*l**2 - 2*l**4 + 6*l**3 in the form s*l**3 + k*l + v*l**2 + t + h*l**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1729\/57*120\/(-52).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -35535598.4 to the nearest one hundred thousand.\nAnswer: -35500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z**2 + 1\/6*z**3 - 1\/6*z.\nAnswer: z*(z - 1)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/1440 - h**5\/480 - h**3\/6 - 2*h**2. Let m(w) be the first derivative of r(w). Suppose m(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 322 - 308. Suppose 2*d + 5 - 15 = 0. Suppose 0 = 3*k - 3*p - 54, -k - k + 51 = -d*p. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*-4 + 18 + -18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35836 or -179186\/5?\nAnswer: -179186\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 102 - 57 + 2*x - 4*x - 5. Let c(g) = -9*g. Determine c(h(j)).\nAnswer: 18*j - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (29 + -5)\/(220\/8 + -8). Suppose 0 = -4*k + 4, -6*n + 4*k - 9 = -n. Which is greater: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:57 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578 - 236 = -159*v - 612 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 9. Let c(y) = y**2 + 13*y + 15. Let b be c(n). Let g be (39\/b)\/(2\/10). Calculate the highest common divisor of 39 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r + 68. Let q be a(-11). Suppose -z + n = -319, -3*z = n + q*n - 969. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088)*1*-2)**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3662 by -1744.\nAnswer: 1831\/872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(-2)\/c*c*c)\/c)\/c)**(42\/13)*(c\/c**(-2\/7))**(1\/19))**(-27))**(1\/22) assuming c is positive.\nAnswer: c**(449307\/38038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262 bigger than 3296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -528772461 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -7 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 1. Let f be i(1). Suppose 2*h = -5*w + 4 - f, -3 = -2*w - 3*h. Suppose 2*y + w*y = 50000. Round y to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2)*-2)\/4. Let p = -4219 + 4217. Which is the nearest to h? (a) -8 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 411*z**4 - 413*z**4 + 2 - 2*z**2 + z - 3*z in the form r*z**2 + x + o*z + a*z**4 + s*z**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 497*z - 1824. What is q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a + 45 = -14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205624 is divided by 15705.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50696711*f**4 - 43372073*f wrt f?\nAnswer: 608360532*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -21*v**5 - 83763*v**4 + 107724*v**3 - 23940*v**2 = 0.\nAnswer: -3990, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17540077*k - 4389057 wrt k?\nAnswer: -17540077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 61?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 3*a**4 + (13*a**2 + a**3 - 13*a**2)*(3*a + 0*a - a) + 7*a**4 + 12 - 12 as f*a**4 + v*a + d*a**2 + u + r*a**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*r**3 - 82*b*r**2*t - b*r*t - 3*b*r - 8*b*t + 20*r**3*t wrt r.\nAnswer: 6*b*r - 164*b*t + 120*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, v: 7, i: 5, n: 3}. What is prob of picking 1 n, 1 v, and 1 y?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/37053 or 0?\nAnswer: 1\/37053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1112 or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.4, -2\/5, 15717?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let x(h) = h**2 + 2*h - 2. Let z be x(a). Let o(f) = z - 6 + 5 - 8*f. Let k(p) = p**2. Determine k(o(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -2*q - 5*n, -5*q - 6*n + 56 = -9*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 2*m + 2. Let d be j(-4). Is (4\/d)\/(12\/(-2610)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c**3 + 192*c**3 - 13*c**3 - 66*c**3.\nAnswer: 197*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/4? (a) 1\/4 (b) 201\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595 + 601 - 1800 - 3*r + 604.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 287327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4979 and 140561.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3371526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 69. Let b = 18.07 + 2.03. Let u = o - b. Put u, 2\/7, -3\/2 in descending order.\nAnswer: 2\/7, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*1\/2*-2. Suppose 3*t = -2*t + b. Suppose -3*s + 39 = t*j - s, 0 = -2*j - 4*s + 18. Solve -y = 2*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 4, e: 5}. Give prob of sequence wwe.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*6*7\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-121))\/(42\/(-1155))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1963, -1954, -1945, -1936?\nAnswer: -1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 - 8*y - 9. Let u be w(-6). Let h be 2 + (-2 - u) + 1. Suppose 4*f + 16 = -0*f. Put f, h, 4 in descending order.\nAnswer: 4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16232 + 16234. What is the closest to -29 in -4, -0.5, 3, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 2001640*h - 40034400.\nAnswer: 4*(h - 500430)*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 5)*(-2 - 3 + 4)*(-5 + 16 - 31)*(110 + 4*c - 110).\nAnswer: -400*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.06 (c) 7 (d) -949\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/36*(-1716)\/(-616)*-8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 342218790 divided by -56970\nAnswer: -6007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3144?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 184644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/9 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -950 divided by 475\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1, 75 in decreasing order.\nAnswer: 75, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 14*r - 9 = 18*r, 0 = 3*r. Solve -2*w - w - 18 = -k*m, 5*w = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, -41.3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 8905 = 8449 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*sqrt(384)\/sqrt(2) + 1 + (sqrt(48)\/sqrt(4))**2 + -4.\nAnswer: -40*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8\/28 - (42906912\/42)\/(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10)*2))\/(-2*sqrt(72)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 3803 - 3803.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 43 - -16) + (-190 - -89)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x - 6 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 - -366. Let a = -213.7 + n. Let m = -38.1 - a. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22950269.000093 - -22950293. Let f = x + -24. Round f to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c, g - 4*c - 13 = 0. Let f = 5 + g. Suppose 0*j - j = -3*o - 30, 0 = 2*j + o - 32. What is the greatest common divisor of f and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, -5 in descending order.\nAnswer: 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 8*j - 49. Suppose -j = -5*l + 4*l. Solve 3*c - l = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 3*g + 7*g**2 - 5*g**2 + 7 - 10*g**2 - g**3. Is 16 a factor of r(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -9. Solve 3*r + 2*l = -2, 2*r + 0 = -4*l + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 44 = 26. Solve -5*n - b = -20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/(-2530))\/(2\/(-5))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 403346 by 5.\nAnswer: 403346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 (base 11) in base 2?\nAnswer: 10000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011100010000111100 + -1101010?\nAnswer: 100111011100001111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*d + 200088 = 2050*d + 3862*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181680 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: Collect the terms in -38 + 4*o**3 + 40 - 5*o**3 - 31*o**3 - 23*o**3.\nAnswer: -55*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1757 to the nearest integer.\nAnswer: -1757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982206920?\nAnswer: 2, 5, 2113, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let x(s) = s - 1. Let h(g) = 2*r(g) + x(g). Let v be h(-7). Suppose -v*q + 148 = -m, 4*q - 132 = -0*m + 5*m. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 656800 + 68381 = 0. Let r = h - -16663. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 81 - 57 = 0. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + g. Let q(n) = n**2. Let i(t) = -c(t) + 2*q(t). Let u(o) = -5*o**2 - 2*o. Give 4*i(a) - u(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/15 and -89\/206835.\nAnswer: 206835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 857493816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + -23 + (1 - -22). Solve -25 = 5*y, -9*p + h*p - 3*y = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4\/5 - 15324*n**3\/5 - 1554654*n**2\/5 - 40593348*n\/5 - 7810803 = 0.\nAnswer: -5005, -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/672 and -109\/72.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + -3 + -2*sqrt(2299) + (sqrt(19) + sqrt(2299) + 0 + sqrt(19) - (4 + sqrt(95)\/sqrt(5)))**2 + -4.\nAnswer: -118*sqrt(19) + 2747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9309810373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {e: 7, p: 1, z: 8, l: 1, s: 2, u: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 345?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, i: 6, t: 2}. Give prob of picking 1 t and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:08 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**9\/3024 - l**6\/180 - 5*l**3\/3 + 5. Let r(q) be the third derivative of a(q). What is the third derivative of r(x) wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - -1) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.3 + 36. Which is the closest to -2? (a) m (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:09 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 978569.03 * 0.5.\nAnswer: 489284.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 72 = -5*h + 2*h, 2*l - 13 = 5*h. Let o be (4\/(-3) - -1)*3. Is 7 a factor of l + (o + 4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -5\/6*a**3 + 0*a**2 + 0 - 1\/6*a**4 + 5*a. Calculate y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7815 divided by 6.\nAnswer: -2605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let a be f(-6). Let c(b) = -35*b + 9. Let u be c(a). What is the units digit of u\/10 - 15\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -89*z + 872. Solve 4 - z = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 119*c - 366.\nAnswer: (c - 3)*(c + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -67924, -67919, -67912, -67903?\n\"Answer: z**2 + 2*z - 67927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (3 + -32)) + -1 + 108 - (-44 + 38).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52301 (base 15) to base 11.\nAnswer: -168835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9920 is divided by 514?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -50*r + 1. Let w be -4*(-4 - (-4 - 7\/(-14))). Let d(a) = -10*a. Give w*f(j) - 11*d(j).\nAnswer: 10*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f - 14. Let x be d(7). Let j = 38 - x. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4916 + 29*l**2 + 4916 + 5*l**2 - 7*l**2 - 9831.\nAnswer: 27*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*c**5 - 1696*c**3*h**3 + c**2*r - 3*c*h**3*r - 3*c*r - 3*c + 2*h**3*r + 3834*h**2 wrt c.\nAnswer: 1440*c**3 - 10176*c*h**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 2:10 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-108 - -94)\/(1 - -3 - -2)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*r**2 - 297*r**2 - r**3 - 42*r + 0*r + 553*r**2 + 2*r**4 - 3 + 2 to the form b*r**4 + n*r + a*r**2 + x*r**3 + i and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyr when three letters picked without replacement from uvyyuwr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*3\/(-9)*(0 + 1). Sort 1, 4, r.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 7*j + 13. What is y(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p + 7. Calculate m(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2317028 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2533 + -12669\/5. Sort 0.3, -406, 3\/2, u.\nAnswer: -406, u, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.27 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -10. Suppose -5*v = -k*x + 5, -4 = -4*v - 0. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 4*s - 5. Let m be j(4). Let f = 3 + m. Let x be 8 - 56\/(154\/11). Sort 0, x, f, 2 in descending order.\nAnswer: x, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let j(n) = 3*n - 55. Let k be j(19). Let a(v) = v**k + 154*v + 150*v - 309*v. Calculate y(a(q)).\nAnswer: q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from pplneeleepnk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 + 3*g - 15. Let p be o(7). Suppose p*l + 4*l - 40 = 0. Which is the second smallest value? (a) -1\/3 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.45 - -11.995. Round i to 1 dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:33 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 - -250. Solve a - i = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**4 - 5*i**4 - 35 + 6*i**4 + 2*i**4 wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:25 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -748 + 818. Calculate the smallest common multiple of u and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539 + -538.8. Which is the closest to 0.1? (a) r (b) 2\/35 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009770943 rounded to 5 decimal places?\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37895 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8888*j + 4449*j + 4439*j = 6*u + 12, 2*j = 4*u - 0*u - 54 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -80235 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4602 + 0.6602. Sort u, 0.02, -0.17, 2.\nAnswer: -0.17, 0.02, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/39, 0.4, 11?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 2. Let v(o) = -2*o - 1. Let s(c) = -3*g(c) - 4*v(c). What is the units digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -58078d3?\nAnswer: 58078d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 97 = 4*m + 2*n, -5*m + 65 = 5*n. Calculate the remainder when 124 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(1\/(-3)). Let a be 6\/(-12)*(-2)\/(-5). Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/11)\/v*v**(-6))**34)**(10\/9) assuming v is positive.\nAnswer: v**(-24140\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 17 = s, 9*s - 4*s - 3*o = 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 53 - 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190522.4 weeks in days?\nAnswer: 1333656.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4865663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3649082, -7298164, -10947246?\n\"Answer: -3649082*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 32058*s**2 + 128196*s - 128184.\nAnswer: 3*(s - 10682)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 0.99. Let q = -2 + c. Let x = 0.03 + 0.47. What is the smallest value in 3, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/63)\/((-3)\/(-36))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41620164 divided by -14\nAnswer: -20810082\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t + 1. Let z(c) = -c. Let g(k) = d(k) + z(k). Let h be g(1). Let j be 3\/(-2) + h\/(-4). Solve -j*u + 1 = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/102 and 5\/22806.\nAnswer: 387702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 559270 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: How many months are there in 58\/3 of a year?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5781.821 rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from prvsspprpvvsississr.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 60 - 340 = 0. Let p be 63 - (-1 - -1)\/2. Let l = p + c. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 3588878869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2029 - 3377. Let j = 11669 - 139921\/12. What is the common denominator of i\/(-320) - (-15)\/150 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000088 rounded to six dps?\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + -36. Let w = 56 + b. Solve 0 = -3*v - 15 + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 0, 6, 22063 in increasing order.\nAnswer: -5, -2, 0, 3, 6, 22063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3 - 50339*t**2 - 402663*t - 754965 = 0.\nAnswer: -50331, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-5526)\/(-630))\/(1\/(-5)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9*i = -0*i. Solve 5*u + 6 = -c - i*c, 0 = -5*u - 3*c + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 + -245 - -105 - (46 - (2 + -2 - -3))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 2*s + 2*s + (-3*s + 13*s + 8*s)*(-3 + 0 + 0) - 2*s - 2*s + 0*s to the form r + m*s and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 17?\nAnswer: 75\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1280*p**2 + 3*p - 39. Let b(f) = 547841*f**2 - 1283*f + 16679. Calculate 6*b(c) + 2566*t(c).\nAnswer: 2566*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 5, l: 6, x: 4}. Give prob of picking 1 b, 1 l, and 1 x.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:28 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = -t - 17, -3*a = 5*t + 8. Suppose -3*z = 6 + 6, 5*q - a*z = 301. Let g = q + -36. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*(m**(-2\/19)*m)\/m)\/(m**(2\/15)*m**1) assuming m is positive.\nAnswer: m**(-2348\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3155078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 15*n**2 - 18*n**2 - 102*n + 102*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.56 - -1.56. Let r = -19.0000276 - i. Round r to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 + 639*q**2\/7 + 14445*q - 309123\/7.\nAnswer: (q - 3)*(q + 321)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 642.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000615224 rounded to 7 dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -180, -231, -300, -393, -516?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/6 - 2414*j**2 - 2*j. Let s(z) = -781*z**2. Calculate v(s(w)).\nAnswer: 3124*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137266 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.8 - -13.8. Which is smaller: -0.8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1840, -1838, -1836, -1834, -1832?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -0.8.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 27336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7194323 is divided by 4755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151413481 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/455 - (-147)\/39. Solve -2*t = -y - y - 10, 0 = -4*y - 4*t - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -802, -12, 0.04, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3059 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -9. Is 7 a factor of 27\/n + (-1 - 313\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20340592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-9\/7)*b)\/((b\/(b**(-14)\/b))\/b))**(11\/4) assuming b is positive.\nAnswer: b**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4. Suppose -4*c + 30 + 10 = 0. Let a(o) = c - o + 3 + 7*o - 5*o. Determine -2*a(l) - 7*m(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.4 + 11.8. What is the closest to 2\/9 in 5, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 - 7*x**3 + 51577217*x**2 - 51577217*x**2.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 823.3752 micrometers?\nAnswer: 0.0008233752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1817751210 and 2.\nAnswer: -1817751208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 23. Let l be ((-95)\/(-14) - 120\/420)*2. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 20 = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18243 is divided by 782.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(25) + (sqrt(25) - sqrt(225)))\/sqrt(5) - sqrt(45)*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130146?\nAnswer: 2, 3, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-56))\/((-25)\/28*(-156)\/13).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 3*r**2 + 4*r - 3. Give u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.074 and -0.02887354769948.\nAnswer: -0.10287354769948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 + 7\/((-56)\/(-28716)). Suppose -2*x - 5*k + 2385 = 0, -w = -3*x + 6*k - k. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 - 113*a**4\/2 + 723*a**3 - 2995*a**2 + 4825*a\/2 + 12375\/2.\nAnswer: (a - 99)*(a - 5)**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*i - 63. Let n(f) = 5*f - 17. Is n(i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7154*n**3 - 2*n**2 + 4863*n.\nAnswer: -42924*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 8*p - 9\/2*p**4 + p**3 + 0*p**2 - 1\/5*p**5 - 144. Find the third derivative of r(m) wrt m.\nAnswer: -24*m - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + w - 44 = 16, 0 = a + 4*w - 12. Suppose 9*g - 5*g - 16 = 0. Solve -4*s + s + g*m = -a, -2*m = -2*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 11992?\nAnswer: -1198c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 6*k**3 - 14 - 2 - k + 2 to the form s*k**3 + x*k + w + v*k**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 24*o + 32340. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x. Let j(o) = -o - 1. Let h(p) = -5*p - 6. Let q(f) = h(f) - 6*j(f). Calculate q(z(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) + (-380)\/(-175) + -3. Let g = 412.1 - 412. Which is the closest to -0.1? (a) 3\/7 (b) j (c) g (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 481 in -1, 0.1, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/6, -0.3, 3 in increasing order.\nAnswer: -2, -0.3, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 7. Suppose j = 5*x - 29, -2*x - 2*j - j - 2 = 0. Let n(o) = 6*o - 11. Determine x*n(g) + 8*b(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1372, 1190, 888, 466, -76, -738, -1520?\n\"Answer: -60*t**2 - 2*t + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -12. Let d be -1 + (-50 + 1 + h)\/(-2). Suppose 0 = 2*a + 2*w - 3 - 7, 5*a + 3*w = d. Solve 3*q + 2*b + 37 = -3*b, -10 = a*q - 2*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389188, 389178, 389162, 389140?\nAnswer: 389112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-4867 + 4860 - (-6 - 1 - -1))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 514*(0 + -3)\/6. Let b = 3857\/15 + p. What is the nearest to -1 in -3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -3) + -8 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -31. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7750, 7768, 7798, 7846, 7918, 8020, 8158, 8338?\n\"Answer: r**3 + 11*r + 7738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2223*d + 2222*d - 4*p - 1 = 0, p = d + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -15 + 15 + -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -211*p + 208*p - 52, 0 = -476*p + 3*y - 39 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-16 - (-18 + -8))) + 31 - 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, b: 8}. Give prob of sequence bbbb.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 5. Let t be z(-4). Suppose 2*x + t = 4*i - i, 2*i - 51 = 3*x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and 83643?\nAnswer: 6691440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2361c3 (base 13) to base 16\nAnswer: -cd833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**10\/l))\/l)**(-2\/25)\/(l*l**(-24\/7)*l*l*l**14) assuming l is positive.\nAnswer: l**(-2249\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:33 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*s - 276*s = -60 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 4*u**2 - 11. Let v be w(-5). Calculate the highest common factor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12)\/((-1)\/(-6)). Suppose -r*h + 11 = 3*a, -4*h = -a - 7 - 8. Find the second derivative of -6 + 2 + l**3 - l + h wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5800210, 11600358, 17400506?\n\"Answer: 5800148*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*o + 8, 0 = 2*k + 4*o + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*y - 8, y - 7*r = -2*r - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + (-336)\/35)\/((-2)\/(-10)). Let l(d) be the second derivative of 7\/8*d**4 + 15\/4*d**3 + 27\/4*d**c + 3\/40*d**5 - 5*d + 0. Factor l(q).\nAnswer: 3*(q + 1)*(q + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 7*i + 7. Let h be v(-6). What is the remainder when 1 + h - (-10 + 4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -1\/3, 2\/9, 54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.26734917 - 0.\nAnswer: -2.26734917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2961\/2, 2\/5, 84.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l + 5*x - 30, 5*l - 5*x = 20. Suppose 0 = -4*z + 8, 1148 = l*w - 4*z + 101. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473002553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.896 to 1 decimal place.\nAnswer: 128.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -n - 4*i, 5*n - 2*i - i = 4. Let y be (4 - (1 - -1))*(-1036)\/(-56). Sort -2, n, y in increasing order.\nAnswer: -2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -459 (base 12) to base 7.\nAnswer: -1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 17\/(102\/(-12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 523 * -102.\nAnswer: -53346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*m - 8 = -5*m, 3*f - 28 = -5*m. Let b be (16\/(-6))\/(f\/(-3)). Suppose 0 = 2*j + 3*d + 10, 0*d = -4*d - b. Are -2\/3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r)\/r**(-26) assuming r is positive.\nAnswer: r**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97, 98, 95, 88?\n\"Answer: -2*w**2 + 7*w + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/((-70)\/(-145))*(-1 + 3 + 1). What is the third smallest value in -1\/2, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d - 43. Determine p so that -2*p**3 - 14*p + d*p**3 - 2*p**3 + 10*p**3 - 4 + 4*p**2 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, -1\/94, -11, -2\/3.\nAnswer: -11, -2\/3, -1\/3, -1\/94, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34204 + 34?\nAnswer: -34120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 700\/(-145))*73\/365.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.85807 + 2998388?\nAnswer: 2998418.85807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(288))\/((sqrt(72) - sqrt(72)*-1) + -1*sqrt(2)*-4).\nAnswer: sqrt(2)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2923 (base 11) to base 4.\nAnswer: -323000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 109.8. Let f = m + 101. Let p = -0.03 + -1.97. Which is the closest to p? (a) -2\/15 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6 - d**2 - d**3 + 2 - 3*d**2. Suppose -52*o - 572 + 416 = 0. What is z(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, -1269, 4, 1, 5 in decreasing order.\nAnswer: 5, 4, 1, -1, -18, -1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*v - 5 + 15 = 0, 2*v = 2*u + 10. Put -1, -3, u in descending order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/5*(-1)\/5. Are k and 4\/151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14017771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1395\/4, 0.04, 1, -13 in descending order.\nAnswer: 1395\/4, 1, 0.04, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-21)\/(-292))*33\/(-22). What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -121. Let y(d) be the first derivative of -d**2 + 20*d - 22. Let n be y(w). Solve 2*r + n = r - 3*g, -3*r - g = 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 30 = -t - 15, -4 = -z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -12113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*s = 2*u, 4*u - 24 = 4*s. Suppose -p = 5*h - 100, 3*h - 5*h - u*p + 22 = 0. Is 2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.41 + -74. Let m = -0.19 - z. Let s = m - -2.59905. What is s rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(495\/12))\/((-9)\/(-45))*1\/(-14)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 4, l: 7, o: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 - 2 + 0 + r + 0*r + (2*r**2 - 4*r**2 + r**2)*(r**2 - r**2 + r**2) - 6*r**4 - r**4 + 4*r**4.\nAnswer: -8*r**4 + r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.014984082*-3.\nAnswer: -0.044952246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + sqrt(7) + 0.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flxzxlxxlfj. Give prob of sequence lxz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 55*h**8\/48 - h**5\/10 - 1681*h**4\/24 + h**3\/3 - 23*h**2 + 13. What is the second derivative of c(n) wrt n?\nAnswer: 7700*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*q - 0*q. Let v = q + -23. What is the third derivative of -s**3 + 8*s**3 + s**3 + 9*s**v - 6*s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-126 + 28) - 37\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -323?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*z + 304 = -572*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (41 - -5 - 35) - 7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68156, 68188, 68220?\nAnswer: 68252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741 divided by -1?\nAnswer: -3741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.075 - 91.275. Let s = -91 - g. Which is the smallest value? (a) s (b) -0.5 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 - 14 = 0. Let v be (2\/s)\/(-2 - -1). Put -0.5, v, 3 in ascending order.\nAnswer: -0.5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48092.65 decades?\nAnswer: 4809.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -204. Let h(p) be the first derivative of -d + 2*p + 2\/27*p**3 + 2\/3*p**2. Factor h(s).\nAnswer: 2*(s + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 11. Let m(c) = -2*c + 4. Let x(p) = -4*d(p) + 11*m(p). Let k(a) = -5*a. Give 4*k(z) - 11*x(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41725, 83274, 124823?\nAnswer: 166372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -2. Let c(y) be the third derivative of y**4\/12 - 4*y**2. Let s be c(1). What is the greatest common divisor of p and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2697, 3, 2 in ascending order.\nAnswer: -2697, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147800, -295786, -443772, -591758, -739744, -887730?\nAnswer: -1035716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 3*y**2 - 14*y**2 - 7*y + 7*y**2 + 3*y.\nAnswer: -4*y**2 - 4*y - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-3653*i**2 - 8 + 8 - 3265*i**2)*(0 + 0 - 2) to k + c*i + z*i**2 and give z.\nAnswer: -13836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*q + 5, r = q + 3*r + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -11 + -5 + 19 - 6) + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 20, 4*o - 36 = -3*c. Let u(n) = 2*n + 7. Let s be u(o). Let f = s + -10. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-20)\/(-12)*(-39)\/52\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 12 - 5*q + 8.\nAnswer: -5*q + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2\/2 + 2*v - 1. Let a be n(0). Suppose -4*m + 3*k = -2*m - 34, -k - 30 = -a*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11216606 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-28))\/((-3)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330258718 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - 4*w + 1. Let r be x(3). Is 12 a factor of (1 - 32)*(-2 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*h**3*x**3 + 4*h**3*x + 8*x**3 wrt h.\nAnswer: 93*h**2*x**3 + 12*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3151 + 3151.4. Which is the nearest to -9? (a) 0 (b) d (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - (-27 - (-15 + -17 + 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/7*l + 12\/7*l**2 + 4\/7*l**3 - 60\/7.\nAnswer: 4*(l - 3)*(l + 1)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-2))\/((-3)\/6). Suppose 2*b + 2 = -2*t, -5*t - v = 3*b - b. Is 2609 + 1\/(b\/(-16)*-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 1031 = -11. Let n be ((-75)\/(-45))\/(2\/6). What is the tens digit of k\/2 - (-9 + n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0.4 (c) 83 (d) -2\/13 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 391124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:03 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 9351\/1869 - -2. Let g = v - 1208\/11837. Suppose 0*b + 2*j = -2*b + 6, -4*j = -16. Is g at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i - 1. Let r be (1 + i)*(-6 - 4). Let d = r + -10. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -60*i**4 - 268198*i**3 - 299972580*i**2 - 588891336*i + 19963024 = 0.\nAnswer: -2234, -2, 1\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxdddddddddddb. Give prob of sequence dddb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/16*2)\/362. Let y be 0 + 1\/(7240\/(-44898)). Let o = s - y. Find the common denominator of o and -17\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 6. Suppose -2*r - r + 18 = 0. Let s be f(r). Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:54 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Let d be (-6 - 1)*(-9 - -7) - c. Suppose 0 = -d*f + 5*f + 122400. Round f to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuoo. Give prob of sequence ouu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14320 divided by 4.\nAnswer: -3580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023698 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 100529 + 312140 + 238397 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -1.2. Let z = 0.6 + k. What is the closest to -1 in z, 3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-160)*1\/((-9)\/(-20)))\/38?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -117046215 and -166660.\nAnswer: -117212875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*m**3 + 892*m**2 - 756*m + 152.\nAnswer: 4*(m + 38)*(2*m - 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let m(i) = -5*i**2 + 3*i - 3. Suppose 0 = 2*c - 4*h - 12, -5 = c + h + 1. Let r(s) = 5*s**2 - 2*s + 2. Let l(x) = c*m(x) - 3*r(x). Give l(f(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let g(t) = -2*t**2 - 22*t + 8. Let i(f) = g(f) - 10*q(f). List the prime factors of i(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 2*r + 26 = 0, 3*r + 32 = -n + 15*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 3*x**2 - 7*x. Let w(f) = -2*f**3 + 2*f**2 + 6*f. Let h(n) = 6*w(n) + 5*y(n). Calculate the remainder when 40 is divided by h(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73186, -73180, -73190, -73210, -73234?\nAnswer: -73256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24579 - 14609. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42692 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6734601897 and 1.213?\nAnswer: 6734601898.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22827 and -0.0732.\nAnswer: -22827.0732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*o + 1 = -3, 6 = -2*t - 3*o. Suppose -6*f + f - 4*u = -44, -3*f + 5*u + 56 = t. Solve -5*d + 2*d - f = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {y: 1, u: 9, c: 3, j: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 885378671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-44)\/(-330)*30)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 25 - 0. Let u be (990\/(-25))\/6*f. Let h be (1\/1)\/((-10)\/(-40)). Sort -4, h, u in descending order.\nAnswer: h, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:57 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2223 and 307515.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 5*p**2 - 2*p**2 - 4*p + 6*p**2 + 2. Let r be y(-2). Let k be -1 + 4 + r + 5. Solve -k = j - 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 + 5*i - 7. Let g(b) = -4 + 0*b**2 + 2*b**2 - 7*b**2 + 3*b. Suppose 2*a - c = -6, 4*a - 2*a - 3*c + 2 = 0. Calculate a*r(s) + 7*g(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1\/3*z**3 + 1\/2*z**6 - 3 + 0*z + 0*z**2 + 0*z**5 + 0*z**4. Find the third derivative of a(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -0.4. Let v = 14 + -9. Which is the nearest to o? (a) 3 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 195 and -136.\nAnswer: -26520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 0, -26*l = -30*l - j - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.000532 + 10. What is c rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwywuyuuyyyyuu. Give prob of picking 1 y, 1 w, and 2 u.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -8. What is the greatest common factor of z and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a348b62 + 3?\nAnswer: a348b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 812053, 1624097, 2436141, 3248185, 4060229, 4872273?\nAnswer: 5684317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 106, -4, -208, -500, -874, -1324?\nAnswer: -1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 134*w + 925. Let v be a(-7). Sort 0.1, -15, v in increasing order.\nAnswer: -15, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - z + 16. Let g(l) = -5*l**2 + 2*l - 31. Let w(d) = 11*a(d) + 6*g(d). What is the units digit of w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebfc when four letters picked without replacement from cecggffcccfbgcgfcb?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-two fifths of a hour?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168\/13 - -1809\/143. What is the third biggest value in -4, 5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 + 5.5. Which is the third biggest value? (a) 1 (b) -0.1 (c) g (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7118.569 millennia to years.\nAnswer: 7118569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/223 - 376\/1115. Sort 1\/5, f, 1\/3, 127 in decreasing order.\nAnswer: 127, 1\/3, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:19 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 14 + 2 = -3*i, 3*i = 4*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 3432?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5 - 2*b**2 - 3*b**2 + 5*b**3 + 2*b - 3*b**3 - 3*b**3. Let t = 18 - 23. What is c(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlldddjldlzdlzzdl. Give prob of picking 1 j and 1 l.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/((-320)\/(-8))*(-27)\/12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 33 = 5*s - 3*b, -s - 5*b - 5 = 0. Let f(k) = -4*k + 2. Let z(y) = y - 1. Determine s*z(a) + f(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from kjuvddr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(4\/((-40)\/5)). Let g = a + 67. Suppose -3*x - 39 = -g*y, y + 31 = 2*y + 5*x. Calculate the highest common factor of 64 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*u - 3*n, -u - 528 = 5*n - 543 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 2*j - 4. Let c be (286 - (-2)\/2)*1. Let g = 290 - c. Let d(o) = -5*o**2 - 5*o + 12. Give g*d(l) + 8*n(l).\nAnswer: l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222758539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 8. Let x be c(6). Suppose l - x*p = -25 + 70, -39 = -l + 4*p. Suppose 3*w = 2*w + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 2*p - 900. Suppose -l - p = h - 6*h, -3*l = -4*h + 371. What is h rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1176*p**2 + 1 + 1178*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -3\/5, 1\/6, 3\/23, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 96, 7, 1.\nAnswer: 1, 5, 7, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**2. Let z(b) = 25*b - 37*b + 13*b + 89*b + 4*b. What is z(n(w))?\nAnswer: -564*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 779076983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(8) + -3 + 3.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95373 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: Solve 1518*r - 11237 = -611 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**2 - 14*m - 2*m**3 + 12*m - 6 - 125*m**2.\nAnswer: -2*m**3 - 94*m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132)*-6 - sqrt(132)*-4*-3)\/((sqrt(108)*-1*3)\/(sqrt(225)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 3619.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-25))\/(18*(-19)\/(-855)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -10. Let u(f) = f - 4 - 100000*f**b + 5 + 0. Let g be u(-1). What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:32 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -29.8. Let g = 19 - a. Round g to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, -1, -28 in increasing order.\nAnswer: -28, -13, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1172.7 - -1173. Let o = 178 + -3028\/17. Let h = o + -47\/34. Which is the smallest value? (a) i (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -768 - -774. Solve 5*y + 20 = 0, -d + i*y = 4*y - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + ((-7)\/(-21) - 92\/(-33)). What is the second biggest value in -3, i, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/17900 and -79\/500?\nAnswer: 89500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 283 = 253 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -84*f - 3. Let o be b(-2). Let u(v) = v + 154. Let t be u(0). Let c be t\/10 + (-6)\/15. What is the highest common factor of c and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 30. Factor -1\/5*q**5 + 2\/5*q**3 + m*q**2 - 1\/5*q + 0*q**4 + 0.\nAnswer: -q*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from tttooootooootooooooo.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9))**(20\/9))**(-17) assuming g is positive.\nAnswer: g**(-680\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.2 to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*k = 521*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:57 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-27)*10854\/804*(-2)\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3647.38 and 1.\nAnswer: 3647.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1 + -10) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*m**2 - 1 - 2*m + 12*m**3 + 15*m**2 in the form v*m + n*m**3 + i + s*m**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 459913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202606.\nAnswer: 2, 17, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 7*x + 8*x + 2*x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -287*a - 6379. Give c(-21).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1835874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/v**(-5)))))\/(v**(-7\/3)*v)*(v*v\/(v**(-2\/21)*v)*v)\/v**(-3\/4) assuming v is positive.\nAnswer: v**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3148 is divided by 284.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 1. Let j be r(-1). Suppose 3*w - 9 = -3*k, -4*w - w = -2*k - 8. Let c = w + j. Solve -3*z + 9 = -c*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b - 23*b - 24*b - 828 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (0 + 1 + -3). Suppose 0 = 4*z - 19 - x. Find the second derivative of -4*f**5 + 3*f + 2*f - 4*f - f**z wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = -8*j. Sort -16, 1, 4, j in descending order.\nAnswer: 4, 1, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 8*u + 1. Let z be v(11). Let y = 11 - -6. Calculate the greatest common divisor of z and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1180\/396 - ((-4)\/4 - -4). What is the second smallest value in 3, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 588*i**2 + 3*i + 1. Let a be q(-7). Suppose 5*t - a = -11022. Suppose 0 = g + 3*d - 884, -d + t = 4*g + 2*d. Round g to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/(2 + -1). Suppose -8 + z = -s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 115876313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2258*h + 5676 = -2430*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -86, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*m*u + 13*f**2*m - 38*f**2*u*w**3 + 2*f*m*u*w**3 - 3*f*u*w**3 - f*u - 56*f*w**3 + 2*m*u*w**3 + 3*m*u wrt f.\nAnswer: 6*m*u + 26*m - 76*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 1116 - 25*d**2 + 12*d**2 + 401 - d**3 + 2*d**3.\nAnswer: d**3 - 3*d**2 - 715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 7*r**2 - r - 7.\nAnswer: (r - 1)*(r + 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10360461203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(2\/(-4)*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(5))**2*3*5 - (5 + (sqrt(1980) - sqrt(1980)*1)\/sqrt(11)).\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0.04 (c) -3 (d) 0.031 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(256) + 3*-4*sqrt(256))*4)\/(((sqrt(240)*2 + sqrt(240))\/sqrt(10) + sqrt(24))\/sqrt(3)))**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5190, -4, -3?\nAnswer: 5190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -60*y**2 - 1. Let x(f) = -8*f. What is x(v(k))?\nAnswer: 480*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41.6*0.0849\nAnswer: -3.53184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajjjxbbjuxjbujjj. Give prob of picking 1 j, 1 u, and 2 b.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -c - 78, -5*c + 28440 = -6*c + o + 28457 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*h + 135602 = -24082. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6787, 3\/4, 1\/4 in ascending order.\nAnswer: -1\/6787, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366915 and 8235?\nAnswer: 3302235","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -4212.8*-0.3087\nAnswer: 1300.49136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1025272?\nAnswer: -1\/512636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.5? (a) 2\/25 (b) 0.2 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207570 = 8*c - 13*c. List the prime factors of (c\/(-264))\/(1\/4).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -88821, -177548, -266061, -354252, -442013, -529236, -615813?\n\"Answer: 18*y**3 - y**2 - 88850*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*64\/672. Let v = -6 + 20. What is the second smallest value in 2, v, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-30))\/(1\/(-20)). Let d be (-12)\/z + (-17)\/(-4). What is the second biggest value in -1\/2, d, 16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(3))))\/(sqrt(2) - (sqrt(2) - sqrt(2)*2*5)) + (6*sqrt(19)*-3 - (sqrt(19) + (2*sqrt(1216))**2)).\nAnswer: -4864 - 189*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 0, -30 = 4*n + 5*r - 13. Let x be ((-6)\/2 - n)\/2. Suppose x = 2*p - 6*p + 44. Solve 4*s = 1 + p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64343*b**4 + 107118*b**2 wrt b.\nAnswer: 1544232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z + 408 + 6 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 12*x - 25920. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343903877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 374167?\nAnswer: -2\/374167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4, -19, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (42\/8)\/((-2)\/(-24)) and (4 + 2)*(1*-1 - 17)*36\/(-54).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 4*r**2 + 4*r - 1. Let b be x(-5). Suppose -b = -a + 4. Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 46975.16 micrograms?\nAnswer: 0.00000004697516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280*w**4 - 35648*w**3 - 29588*w**2 - 5736*w - 324 = 0. What is w?\nAnswer: -27, -3\/5, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -109 (c) 1\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 10. Let a be 1*8\/2 + f. Sort a, 5, -0.5 in ascending order.\nAnswer: -0.5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 - 150. Let i(w) = -l*w + 43*w - 12*w - 14*w. Calculate i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 9 = u, -5*u = -r - 610 + 541 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/3 + 16*k**2 + 9*k + 2. Let r be y(-19). Suppose -3*i = -6 - 0. Sort i, 5, r.\nAnswer: r, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t\/((t\/(t*t\/((t\/(t**(-4\/13)\/t)*t)\/t)*t))\/t))*(t\/(t**(-5)\/t))\/t)\/(t**5*t*t*t\/t**(6\/13)))**(10\/11) assuming t is positive.\nAnswer: t**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/40 - 11*j**4\/24 - 9*j**2 + 8. Let m(f) = 2*f**3 - 6*f. What is -11*m(w) + 6*q(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 1. Let u be r(1). Suppose -4*z + 0*d = 4*d, -d + 16 = -3*z. Let q(l) = -5*l + 19. Let n be q(3). Sort u, n, z in descending order.\nAnswer: n, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31908 divided by 2493.\nAnswer: -10636\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 185 = -6*s. Calculate the remainder when s is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 16. Let f = y + 8. Solve -3*i - 5*q - 27 = f, -q - 11 = 3*i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 - (1 - -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 167*g**4 - 606 + 2*g + 0*g + 165*g**4 + 3423 to j*g + z*g**4 + y*g**3 + b + l*g**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 3\/2 (b) -31\/3 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (sqrt(931) - (sqrt(931)*-1*1 + sqrt(931))**2) + (sqrt(931) - (-3*-1*sqrt(931))**2 - (2 + -3*sqrt(931))).\nAnswer: -8388 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 - i - 4. What is the remainder when 31 is divided by n(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178135?\nAnswer: 5, 23, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-22*l + 18*l + 97*l)*(1 - 2 - 1)*(0*l - 3*l - 4*l).\nAnswer: -1302*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 1. Let l = -184 - -180. Let w(t) = -t + 5. Let a be w(6). Let q(p) = -5*p**3 - 2*p**2 + 7*p + 10. Let c(u) = a*q(u) + l*k(u). Give c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 t when three letters picked without replacement from {m: 2, t: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**(-12)\/m)\/m*m)\/m*(m*m**(2\/17)*m*m*m*m)\/m)**(-15) assuming m is positive.\nAnswer: m**(2010\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568985 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -66527*g. Let l(n) = -n**2. Determine l(w(q)).\nAnswer: -4425841729*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/30)\/(3\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 2*d**4 + d**2 + (-5*d**3 + 4*d**3 + 0*d**3)*(2*d + 2*d - 6*d) - 2*d**4 + 2*d**4 + 2*d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1691, 6760, 15209, 27038, 42247?\nAnswer: 60836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2275113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 640\/60*(4 - (-4)\/16*-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = 0. Let i = 13 - n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*591\/1379\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {q: 2, e: 4, t: 4, g: 7, s: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fghi when four letters picked without replacement from hghhgifihg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-21) + (-168)\/294. What is the second smallest value in -2\/11, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6961656, -13923312, -20884968?\nAnswer: -27846624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 261 times -30698\nAnswer: -8012178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15661\/19 + -824. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84559.39 days?\nAnswer: 7305931296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4465741km to micrometers.\nAnswer: 446574100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586245 divided by 85.\nAnswer: -6897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llelevzveze. Give prob of sequence vvlz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**7\/21 - m**3\/6 - 13*m**2 - 4*m - 5. Find the second derivative of s(j) wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -5.3586683.\nAnswer: -2.6413317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 1430*f + 178546. Calculate l(-98).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 8 = l, -5*b - 41 + 16 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - o**4 + o**4 + (4*o - 6*o + o)*(-2*o**3 + 0*o**2 + 0*o**2) + 2*o**4 + 109*o - 13*o**2 - 109*o.\nAnswer: 5*o**4 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fltazlt. Give prob of picking 1 l, 1 f, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 8*f**3 + 49 + (-5 + 2 - 1)*(-5 + 5 - f)*(-f**2 + 2*f**2 - 4*f**2) - f**3 - 3*f**3 + 6*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893 = -19*l - 1026 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4*(-5)\/(60\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313010 - 211221?\nAnswer: 1101123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/((-240)\/(-12))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 330840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n*u**4 - 2210*n*u**2 + 20*n*u - 2383*n - 1 wrt u?\nAnswer: 48*n*u**2 - 4420*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261.83 + -263. Let x = z - -0.2. What is x rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133 - 323?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1034094.\nAnswer: 2068188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39834 or 39833?\nAnswer: 39834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 787783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 320 = 652. Calculate the least common multiple of 54 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Let u be (-2)\/4*10\/15. What is the second biggest value in a, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196*q**3 - 164*q**2 + 398939.\nAnswer: 588*q**2 - 328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -17 - 16) + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Suppose 4*p - 23 = -t. Solve 0 = p*z - 2 - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -73.6. Sort l, 1, -0.1, -0.3.\nAnswer: l, -0.3, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -940752 or -940754?\nAnswer: -940754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/3 + 4*v - 35\/3 = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 229813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 4*o**5\/15 - o**4\/3 - 2*o**3\/9 - 65*o. Solve k(l) = 0 for l.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4583355*d**6 + 6*d**2 + 292853*d?\nAnswer: 550002600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*m + 30, -16*d - 18*d + 13*m = 19*d - 48*d + 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11704 and 5357?\nAnswer: 5699848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 1, k: 2}. What is prob of sequence kjjw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05771 plus 126896?\nAnswer: 126895.94229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 9}. What is prob of sequence kt?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57644 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1148 times 4\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 34*x - 104. Let u be z(12). Suppose -12*a + u*a = 5*p - 63, 2*a + 26 = 2*p. Calculate the greatest common divisor of 1408 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-669)\/9366 - (3 + -3)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17200 divided by 2150\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 2*q**4 - q**4 + (-2 - q**2 + 2)*(2 - 2 + 2*q**2) + 0*q**4 - q**4 + 0*q**4 - 3*q**4 - 2*q**4 - q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8578145 years in centuries?\nAnswer: 0.008578145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 d, and 1 u when four letters picked without replacement from dwbbududuwubbbd.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110001001010001 (base 2) in base 4?\nAnswer: 2012021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -5*g**4\/24 - g**3\/2 + g**2. Let y = -5807 + 5817. Let l(s) = 16*s + 10. Give y*c(d) + 3*l(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose h*d + 5 = 5*v - 0*v, -3*d = 5*v + 55. Let y be 2\/(2*2\/d). Let f(s) = s**3 + 4*s**2 - 6*s - 6. Give f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1781, 1784, 1787?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/6720 - o**7\/315 - o**6\/90 - o**5\/60 - o**4\/4 - 2*o**2. Let b(t) be the second derivative of j(t). What is b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3 - 10*k - 3 - 8 - k**2. What is the remainder when 24 is divided by g(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + 96\/(-28) + 2. Find d, given that -2\/7*d**5 + 8\/7*d**4 + n*d**2 + 0 - 10\/7*d**3 + 0*d = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.59195km?\nAnswer: 591950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66656468 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -151594*y. Let j(c) = -3052*c**2. Determine j(b(o)).\nAnswer: -70137221031472*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14430)\/1998*(-30)\/(-100)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 - 81. Let x = -374 + l. Which is the nearest to -1\/4? (a) -6 (b) 6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 0*w - w + 73 - 73 - 4*w + (-w + 51*w - 5*w)*(1 + 1 + 0) as u + t*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgg when four letters picked without replacement from gggxdggxgddxdddddxd.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - 392.8. Let q = 0.5 + -1. Which is the third biggest value? (a) 1\/6 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -4*u, 2 = 4*c + 2*u - 14. Solve -c - 11 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Solve 2*p = -k*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-216017\nAnswer: -237618.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11915 is divided by 662?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*1*sqrt(500) + -4 + (-1 + sqrt(500) - sqrt(500))**2*1 + -4 + -1 + 5.\nAnswer: -40*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*s - 294*s + 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1151 + 1151. Solve v*k = 7*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3697\nAnswer: -3697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*o*w**2 + 2*c*o*w + 33*c*o - 4*c*w**5 - 486*c*w**4 + o*w**3 - 3*o*w**2 - 91*o*w - 2 wrt w?\nAnswer: -240*c*w**2 - 11664*c*w + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/6 - 106889*s**2\/2 - 4284445148*s + 12853495778\/3 = 0.\nAnswer: -160334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-28)\/5)\/(196\/(-70))*-14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 2*i - 6. Suppose 9*h = 24*h + 75. What is t(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3359 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 767, -3, 2 in descending order.\nAnswer: 767, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69015 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 + 20*o**3 + 109*o**2 + 156*o + 135\/2.\nAnswer: -(o - 45)*(o + 1)**2*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 200610?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22128652 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 25*k + 5 to the form h + g*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = -0*b. Let j be (-2 - -1)\/(2\/b). Let z = -8 + 5. Sort -2, j, z in decreasing order.\nAnswer: -2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104264 and 5?\nAnswer: -521320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-14 + 23 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-26))**49\/((v\/v**(-15))\/(v*v*v*(v\/(v**(2\/67)\/v))\/v)) assuming v is positive.\nAnswer: v**(-82881\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -12. Let u = 11 - k. Solve u = -5*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjejeeeeeeejejjjyee. Give prob of picking 1 e, 2 j, and 1 y.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-7 + 3) + -3. Which is bigger: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84291*w**2 + 21084*w**2 + 21069*w**2 + 21072*w**2 + 21064*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: -6471.4+3\nAnswer: -6468.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 3697*m**2\/4 - 863860*m + 17735781.\nAnswer: -(m - 1838)**2*(m - 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 105 = 27*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from ppyppwywy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10)*55\/(-22). Let g(h) = -79*h**3 + 1. List the prime factors of g(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and -1\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -813494*g**2 + 426060*g.\nAnswer: -1626988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**8\/2016 + 2*o**7\/315 + o**6\/30 + 17*o**5\/180 + 23*o**4\/144 + o**3\/6 - 88*o**2 + 17. Suppose j(m) = 0. Calculate m.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301402?\nAnswer: 2, 37, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*r - 0*k + 2*k, -k = -4*r + 9. Let d(x) = -x**2 + 8*x + 3. Let j be d(8). Solve 5*l = u + j, -6*u = -3*l - r*u - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/120 - 31*w**5\/60 - w**4\/8 + 35*w**3\/6 + 4*w**2. Let x be f(31). Let s = 61 + x. Solve 2*l = -s*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -146*x**2 - 594*x + 472. Differentiate b(v) with respect to v.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-2\/7)\/b*b)*b**(-1\/6)*((b**2*b)\/b)\/((b\/b**(-9))\/b) assuming b is positive.\nAnswer: b**(-247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5, k: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156805\/6 + -647311\/24. Let q = -835 - s. Let v = 91991\/11742 - 2\/1957. Find the common denominator of q and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(147) - -2*sqrt(147)) - sqrt(147))*3 + 0)*-4)**2.\nAnswer: 6117552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**2. Let k(n) = 2*n + 8. Calculate d(k(l)).\nAnswer: -36*l**2 - 288*l - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12442 (base 5) to base 13\nAnswer: -5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 68, 82, 74, 38, -32, -142?\n\"Answer: -j**3 - 2*j**2 + 43*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1643, 1640, 1637, 1634, 1631?\n\"Answer: -3*c + 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let n = -1 + w. Let f = 60 - 65. What is the third biggest value in f, n, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 78*s. Let q(h) = 1023*h - 515*h - 529*h. Give m(q(x)).\nAnswer: -1638*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 14 = -23*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(1\/(32*(-17)\/(-1904)*42\/8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*l = 8, -3*z = -8*l + 5*l + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Let r(m) = 3*m. Let a(q) = -2*q + q + 0*q. Suppose 0 = 3*y + 4*y + 77. Let v(d) = y*a(d) - 4*r(d). What is v(w(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31968 is divided by 10504?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - o**2 - o**2. Let b(w) = w**3 + 19*w**2 - 21*w**2 - 3*w**3. Calculate b(y) + 3*n(y).\nAnswer: -2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuddddddd. What is prob of sequence ddud?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190.6 + -3.4. Let w = -193 - x. Which is the smallest value? (a) -1.4 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7527*w - 30096. Calculate x(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/12)\/((-2)\/42). Suppose -u*p + 2*p = -65. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 2. What is the units digit of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 2*u**2 + 2*u**2 - 16*u + 1 - 39*u - 2*u**3 in the form p*u**2 + r*u**3 + g + h*u + x*u**4 and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 16*x**3 + 1 - 106*x**2 + 5*x**3 + 0.\nAnswer: -11*x**3 - 106*x**2 - 9*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -13\/5, -0.5 in decreasing order.\nAnswer: -0.5, -13\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7961 is divided by 915.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 345449999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.1. Let l = 0.169 + 15.031. Let d = 15.4 - l. Which is the closest to -1? (a) t (b) -1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 11 - (-2 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 10, n: 2, f: 1, x: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -2. Let d = 153 + -164. Let l = 8 + d. Which is the nearest to -2\/5? (a) n (b) -1\/10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*n. What is the tens digit of (-2 - (2 - -445))*n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.88744 centimeters to nanometers.\nAnswer: 428874400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 - 15*u + 17*u**2 - 402 + 801 - 6*u**2 - 401 as s + z*u + n*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 9*a - 10 - 7*a)*(25 + 27 - 17) as s*a + b and give s.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 73*n - 12. Let i be g(6). Suppose 7*m = 10*m - i. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21024\/(-2190))\/(3\/5)*(1 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:19 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 73*q - 829. Calculate x(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*q + 5*i, -4*q + 8*i + 113 = 245 - 112 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 1. Let g(z) = -7*z - 31. Let b(s) = -5. Let f(x) = 6*b(x) - g(x). Determine 5*f(o) - 4*w(o).\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634409856 a multiple of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1695.34 - -66126.66. Let b = -67821.61039 + r. Let v = b - 0.39. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-129 + 3 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 + 298 = 5*j + 2*r, -j + 153 = 5*r. Suppose j = 4*x - 36. Suppose 3*y = 19 + 23. Calculate the remainder when x is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 33083.1m?\nAnswer: 33.0831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 37*t**2 + t. Give y(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 2*o**4 - o**4 + (o + 3*o - 5*o)*(2*o**2 - 2*o**2 + 2*o**3).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5650)\/(-1356) - ((-5)\/(-30) - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870194.\nAnswer: 2, 1435097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 161?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993004993.\nAnswer: 993004993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5782 - -1?\nAnswer: 5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2406, 8303, 18042, 31623, 49046?\n\"Answer: 1921*z**2 + 134*z + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w - 35, -8*s + 2*w = -10*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 331, 19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 15. Let s = 13 + -8. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 62. 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 remainder when 146734 is divided by 15352?\nAnswer: 8566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14313 and 2009325.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 7. Let f(p) = 3*p - 13. Let s(h) = 7*d(h) + 4*f(h). Determine s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + -11 - (0 + -25). Suppose -1 = -25*x + a*x. Suppose 4*b = 5*z - 14, 4*b - 5 = z + 5. Is x greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 + 48435*r**2 - 2.\nAnswer: 48435*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1691*f = -1696*f + 665. Calculate the remainder when 1089 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -116. Suppose -2*o + 2 = -2*l + u, 2*l - o = 4. Find the second derivative of 14*c**3 - 28*c**3 - 13*c**l + 19*c wrt c.\nAnswer: -162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18\/7*u**3 - 414\/7*u - 320\/7*u**2 - 76\/7 = 0. What is u?\nAnswer: -1, -2\/9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.74 in 0.5, -1\/11, 0, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 0*h**4 + 0 + 1\/60*h**5 - 1\/6*h**3 + 11*h**2. Let f(w) = 3*w**2 + w - 3. Determine -2*f(x) + 7*s(x).\nAnswer: x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 619*i**2 - 14*i - 740. Let s(g) = 413*g**2 - 10*g - 495. Let h(j) = 5*m(j) - 7*s(j). What is the first derivative of h(l) wrt l?\nAnswer: 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 + 363 + 2187*q**3)*(-1 + 2 + 0)*(-2*q + 0*q + 0*q).\nAnswer: -4374*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*u + 35995 = 380*u. List the prime factors of u.\nAnswer: 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274.6 + 275. Sort 170, u, -1.\nAnswer: -1, u, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30 and -0.295?\nAnswer: 29.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -8, 78?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:51 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-7 + -9 + -2 + -1 + 11) - 74.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 948764 to the power of 1\/2, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25551585 divided by 135\nAnswer: 189271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:18 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**5 + 50*w**4 - 85*w**3 + 40*w**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -14 (b) 0.05 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, -0.31, 16\/9, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/((-12)\/420). Let p be l\/(-35) - 28\/(-120). Let j = -555\/3113 - 1\/283. Is p at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-16)\/(-1 + -3). Solve -a - 7 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 63. Let i be a(19). Let l = 41 + -9. Calculate the remainder when l is divided by 102\/12 + i\/4 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose -f*v + 8 + 2 = 0. Solve -3*m + v = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5795582?\nAnswer: 2, 13, 101, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -27*r - 5. Suppose t = -5*v + 29, -v + 13 = -0*t + t. Let i(m) = 7*m + 1. Determine t*i(n) + 2*a(n).\nAnswer: 9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 = 112*y - 93 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6115382*g**2*k - 42564745*g**2 with respect to k.\nAnswer: 6115382*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4500 and 14432100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - u + 29 = 7*h, -6 = 2*u. Let s be (4 - h)*(-3)\/12. Suppose c + 2*p = -s - 3, 0 = c - 4*p - 8. Solve -3*m - 11 = t, c*m - 5*t + 25 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234 or -4470\/19?\nAnswer: -4470\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/112 + 65\/(-3) and -109\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 743.7 - 748.7. Let y = -13.9 + 14. Let q = 0.01 + -0.04. Which is the closest to y? (a) z (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkd when four letters picked without replacement from {k: 10, v: 1, d: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -1791, -1786, -1781, -1776, -1771?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*u - 16*u**2 + 51*u + 47*u - 3*u**4 + 2*u**3 to the form v*u + d*u**3 + c*u**4 + f + z*u**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816490.7 micrograms to grams.\nAnswer: 0.8164907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/62*(-1 + -13). Suppose q*i = -12 + 40. Let f(m) = -i*m - 3*m + 9*m. Let l(b) = 12*b**2. Calculate f(l(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 5*z - 7*z)*(1 + 1 + 0) + (-z + z + z + 0*z + 2*z - 3*z + 2 - z - 2 + (0 - 6 + 4)*(-2*z + 1 - 1) + z + z + 3*z)*(9 + 3 + 3) - 2*z - 1 + 1.\nAnswer: 126*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {f: 1, n: 2, g: 2, r: 1, a: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -39.3.\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 + 5*i - 1. Let x be c(-6). Let t = 2 + -1. Suppose 3*q + 20 = -q. Put q, t, x in ascending order.\nAnswer: q, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(2*sqrt(12) + sqrt(12))*1.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -795, -1214, -1667, -2166, -2723, -3350?\nAnswer: -4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 215*r**3 + r**2 + 215*r**3 - r - 2 to y*r**2 + l + t*r**4 + u*r + b*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10965 - 3655 - 3*r - 3660 - 3657.\nAnswer: -3*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxxx when four letters picked without replacement from {z: 13, x: 5}?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.3 + 17.6. Let f = 1.16 + 1.84. Put 10, c, f, 1 in increasing order.\nAnswer: c, 1, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*i - 11 = -2*i, w - 5*i = 21. Let m be 4*((4 - w) + -2). Solve 7*l = m*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 + 254*a - 480. Let l be f(55). Calculate the greatest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 4327*t - 94277. Calculate u(22).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y**5\/4 + 3609*y**4\/2 + 456543*y**3\/4 + 1034964*y**2 = 0. What is y?\nAnswer: -111, -336\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.12*203.999.\nAnswer: 432.47788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 23*l + 4. Let u be w(-6). Let c = -48 + u. Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16962.86 millimeters to micrometers.\nAnswer: 16962860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**15*n**(-19) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183750 + -183750. Factor 0 - 6\/5*n**3 + y*n**2 + 0*n - 2\/5*n**4.\nAnswer: -2*n**3*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*n**2)*(0*n + 0*n + n**2) - 3 + 3*n**4 + 3 + (0*n + 0*n + 7*n**3)*(0*n - 2*n + 0*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 5}. What is prob of sequence ctc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.029 + 0.101. What is the closest to c in 11, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/162 + 728\/(-1080). What is the third biggest value in -285, a, 2?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 2 w when four letters picked without replacement from {v: 1, k: 1, j: 1, q: 1, w: 2, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-161)\/92 + (-3)\/12)*(-2)\/4. Which is smaller: -13\/88 or x?\nAnswer: -13\/88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1288579 or 1289566?\nAnswer: 1288579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1004 divide 109182684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 47, 52, 57, 62?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let a(f) = -10*f - 653. Determine a(x(l)).\nAnswer: -20*l - 653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/108 and 23\/19885950.\nAnswer: 119315700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 36*s - 138. Give c(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**3 - 3*k**2 + 2*k. Let i(u) = -3*u**3 + 2*u + 1. Let h be i(-1). Let q be z(h). List the prime factors of 8\/(-12)*q\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 8\/5 (b) 107 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*x, 5*h - 19 = 3*h + 3*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Let s = v + -6. What is the second biggest value in -0.3, 0.5, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.116 in -4, 30\/17, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45785315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(1 - 359\/3). Let x(g) = g**3 - 144*g + 6. Let b be x(12). Suppose b*a = v + 568. What are the prime factors of a?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1206 + 2?\nAnswer: -a1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -36 - (-8 - 1) - (0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 5. Let r be v(-4). Let z be 29\/3 - (r + -4). Find i such that -4\/3 - z*i - 25\/3*i**2 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*t - 3*t = 0. Let q(z) be the third derivative of -1\/2*z**5 + t*z + 0 - 4\/3*z**3 + 3\/2*z**4 + 4*z**2 + 7\/120*z**6. Factor q(y).\nAnswer: (y - 2)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*x + 4*x = -2416, 2412 = 2*i - 4*x. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 24. Let l(y) = -16*y + 2. Let o be -1*1\/1*(-6 + 5). Let d be l(o). Calculate the lowest common multiple of 9 and n(d).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0165878 kilograms?\nAnswer: 16587.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -32. Let h be (m - 0) + (-3 - -4). Factor -2*j**5 + h*j**4 - 3*j**5 + 10*j**3 + 5*j**4 + 0*j**4.\nAnswer: -5*j**3*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 0*d)*((d - 1 + 1)*(-1 - 2 + 4) + 3*d + 0*d + 0*d + 2 - 2*d - 3*d + 7*d).\nAnswer: -12*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*o - 7437984, 13283440 = 5*v - o - 23906556. What is v rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.818 plus 26145?\nAnswer: 25994.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j - 41. Let l(p) = 25*p + 82. Let b(y) = 4*l(y) + 7*x(y). What are the prime factors of b(-13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -32, -37, -34, -17, 20, 83, 178?\n\"Answer: m**3 - 5*m**2 + m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*v = -107*v. Let l(n) be the second derivative of 9*n + 0*n**2 - 1\/2*n**4 + v + 0*n**3. Let y(o) = 2*o**2. Determine y(l(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 6*m**2 - 28*m + 31. Is x(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -31.3, -25.79 in increasing order.\nAnswer: -184, -31.3, -25.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 234 = 5*p + 182. Solve 58*h + 5 = -5*w + 54*h, -35 = p*w - 3*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**3 - 5*z + 39. Let k(a) = 7*a**3 + 2*a - 19. Let m(s) = 2*i(s) + 5*k(s). What is the derivative of m(c) wrt c?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5 - 14*z + 15*z + 5*z**2 + 8 + 8*z**2. Let l(s) = 11*s**2 + s + 2. Let d(u) = -6*l(u) + 5*v(u). Calculate d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = -3*a + 20, 55 = -3*w + 2*a. Let d = w + 25. Let p = d + -8. Solve -t - p*k = -k - 3, -t = 4*k - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 533*o**2 + 4*o + 108. Let a be p(-4). What is the highest common factor of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and 77\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 5 (b) 3 (c) -512\/7 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - q - 2*q**2 - 153 + q**3 - q**4 + 156 to the form l*q**3 + t*q**4 + i + b*q**2 + p*q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1602 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 3*k**2 + 2*k + 3. Let o be n(3). Let w(f) = 2*f**2 + f. Let r be w(1). Suppose r*v - o = -j, j + 0*v - 4*v - 2 = 0. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*t - 5*t - 3*t)*(-7*t**3 + 17*t**3 + t**3).\nAnswer: -22*t**4 + 44*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4572, 10615, 16668, 22731, 28804, 34887?\n\"Answer: 5*l**2 + 6028*l - 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 2\/97, 7, -1\/5, -11.2, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 6*i**2 + 9*i - 9. Let z = -148 - -155. Calculate m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 7. Suppose 0 = -5*j + 3 - 23. Let x be m(j). Solve -1 = -2*t + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 21*i - 1. Let c(n) = n. Let h(y) = -8*y. Let l(u) = -36*c(u) - 4*h(u). Let o(w) = -11*l(w) - 2*q(w). What is o(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -28*z**2 - 24*z**2 + 57*z**2. Let p(r) = 10*r. Calculate k(p(j)).\nAnswer: 500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 13*c**2 + 12*c + 4. Let s be k(12). Differentiate 6 + 5*w**2 + s*w**2 - 4*w**2 + 0*w**2 with respect to w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1187*u - 40*u**3 - 2 + 262*u**4 + 40*u**3 + 343*u wrt u.\nAnswer: 3144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*29\/((-10150)\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-2) - -3) + 8. Is 6*d + (-8)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5)\/3)*(-33)\/(-55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnassnooqtonssot. Give prob of sequence qtto.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2267782ml to litres.\nAnswer: 0.0002267782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 21335*s**3 - 2*s**2 + 31392*s**3.\nAnswer: 10057*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.806523 - -11.8. What is c rounded to 4 decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*1*sqrt(600))\/((-4*1*sqrt(72))\/((sqrt(12)\/sqrt(2) + sqrt(6))*-5)).\nAnswer: -25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 19*w - 5*w. Let c(z) be the second derivative of -z**4\/12 - z**3\/2 + z**2\/2 + 2*z. What is c(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57192, 114352, 171512?\nAnswer: 228672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -312333320 (base 5) to base 16\nAnswer: -13baa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5452352 + 5?\nAnswer: -5452344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -89*k**5 + 269*k**5 + 1015*k**2 - 1408 + 28 - 705*k**3 - 88*k**5 - 335*k**4 + 1400*k - 87*k**5 = 0. Calculate k.\nAnswer: -2, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11667, -12653, -13653, -14667, -15695, -16737?\nAnswer: -17793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92\/148 + -2 - 3. Let c = -2\/433691 + 304018575\/256745072. Let i = c - s. Find the common denominator of -51\/10 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -387, -1228, -2845, -5496?\n\"Answer: -43*y**3 - y**2 - 19*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -121, 0 in decreasing order.\nAnswer: 47, 0, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(1\/3)*x)\/x)**(-1\/30)*(x**1*x)**(-4\/3))**3 assuming x is positive.\nAnswer: x**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 - 3*p. Let b(k) = 10*k**3 - 5*k**2 + 13*k + 9. Let r(q) = b(q) + 2*z(q). Let v(g) = 7*g**3 - 3*g**2 + 6*g + 8. What is 6*r(x) - 7*v(x)?\nAnswer: -x**3 + 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1240 = 2*w, 1653 + 221 = 3*w - 4*a. Let d be 1\/4 - 11625\/(-12). Let r = d - w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 < 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4919 to two decimal places.\nAnswer: 4.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*a**5 + 7*a**4 + 5*a**3 - 8522*a**2?\nAnswer: 3240*a**2 + 168*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010059918 to seven decimal places.\nAnswer: -0.0001006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 41. Calculate the lowest common multiple of z(6) and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-8 - (-696)\/84)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206735209842092610.00000154 + 206735211558076435. Let t = o + -1715983868. Let i = -43 - t. What is i rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 415*w - 81875. Determine y(197).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose 6 = 5*w - 4*w. Let s = w + m. 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 s(h) = h**3 + 9*h**2 - 2*h + 7. Let r be s(-9). Suppose -5*y = -r + 10. Solve -5*c = -y*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/162 and 125\/24462?\nAnswer: 24462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 3*g**8\/1400 - g**7\/700 - g**6\/180 - g**5\/300 + g**3 - 2. Let q(c) be the third derivative of s(c). Factor q(o).\nAnswer: 2*o*(o - 1)*(3*o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 659 = 2001. Solve -11*n - p = -93 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 + 84. Sort 30, a, 1.\nAnswer: 1, a, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, -5*l + 2*z - 135 = -3*z. Suppose -78 = o + 2*o. Which is bigger: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 7. Let a(m) = 4*m + 10. Let b(v) = 5*a(v) + 7*z(v). What is the units digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7667\/(-510) - -15) + 39034\/(-3480).\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 5. Let l be d(5). Suppose l*o + 5 = -0, 0 = -b + o + 1. Solve b = -2*c + 8, 3*h - c + 26 = 4*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*((-1 + 0 - 1)*(3*q**2 - q**2 - q**2) - 2*q**2 - 2*q**2 + 3*q**2 + (3*q - 2*q + 0*q)*(33*q - 23*q + 18*q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1196405.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 113301708132 and 0.0302.\nAnswer: 113301708132.0302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/6*(-912)\/1520.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200655 less than or equal to 200661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 6. Let i be g(7). Suppose -2*h = 17 - i. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9658684 and 784?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 40 + 112 = 0. Let k = -11 - -31. Let c = k - 15. Solve -c = -5*j + n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let k(o) = 4*o - 7*o + 2 - 6 - 2. Suppose 4*t - 14 = -m - 1, -2*t = m - 5. Let h = t + -5. Determine h*k(g) + 6*x(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -50. Suppose 4*u - 3*h - 41 = 0, 4*u = 3*h + 2*h + x. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 54. Calculate the smallest common multiple of 33 and 6\/2 + (12 - y).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - 15\/2. Suppose 2*g + 16 = 2*j, -2*j - 5*g + 40 = -g. What are the prime factors of 2*15 + j + m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 4}. Give prob of sequence aaww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7919776 divided by 6.\nAnswer: 3959888\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 81.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16*w**2 - 259*w - 33. Calculate the remainder when z(-16) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, w: 2, l: 9}. What is prob of sequence ll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7941, 15881, 23821, 31761, 39701?\nAnswer: 47641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffwffffffffwwwffw.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:16 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in centimeters?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:09 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3737 rounded to 2 decimal places?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43270 is divided by 577?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 7196?\nAnswer: 28784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1323*p**4 + 6*p**3 - 1 - 7*p**3 + 1467*p**4 - 15*p as z*p**3 + t*p**4 + o + c*p**2 + x*p and give t.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/2 - o**2 + 2*o - 62. Let p be g(0). Solve -2*t + 0 = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -20. Suppose -4*s = -21 + 1. Suppose -s*x - 15 + 4 = 4*f, x = 5. Let g(z) = -2. Let y(q) = -q**3 + 9. Calculate a*y(d) + f*g(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 4*d + 71. Suppose 3*h + 5*g - 3*g = 206, -3*h + 231 = -3*g. What is the remainder when ((-60)\/(-18))\/(4\/h) is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((0*b**2 + 2*b**2 - b**2)*(-3*b + 6*b - 2*b) - 9*b**3 + 2*b**3 + 2*b**3)*(1 - 1 + 1)*(3 - 2 + 23).\nAnswer: 96*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-29 - -2)*22\/(-33).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b**3 + 8*b**2 + 7*b - 1. Let s be j(-6). Let x = s + -24715\/6. Find the common denominator of 16\/9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23179740 by -5.\nAnswer: -4635948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let p(r) = 3*r - 2. Let f(o) = -6*o + 5. Let h(n) = 4*f(n) + 10*p(n). Let j be h(0). Solve j*a = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 79 = -9. Let n(g) = g. Let m be n(5). Suppose -2*l - m*w + 5 = -l, -4*w = -5*l + 25. Solve l*k + y = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -997*v**2 + 2013*v**2 + 2477*v**2 + 211*v**2 to r*v + p + f*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9302 or -102321\/11?\nAnswer: -9302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 93 = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 16*m - 20*m. Suppose -7*f + 10*f = 3. Solve m = -2*h + f + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.61 * 1\nAnswer: 12.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*s = 15, 2*u + s = 3*u. Suppose -4*o + u*o = 162. Calculate the smallest common multiple of 9 and o.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/33 + 19588\/(-496). Let y = -930 + 115319\/124. Let s = y + a. Calculate the common denominator of s and -20\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135328956989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1081631893+-0.6\nAnswer: -1081631893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 53*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwwgwgwww. What is prob of sequence wwww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6404525 centuries to millennia.\nAnswer: 0.06404525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) + -7*(2 + -1). Put -0.3, -2\/11, n in decreasing order.\nAnswer: -2\/11, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.953508 kilometers?\nAnswer: 6953508000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p**2 + 3*p**2 - p**2)*(-3 + 2 - 2).\nAnswer: -3*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + y - 40 + 179, -2*y - 232 = -5*l. What is the units digit of 14\/35 + l\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 32*y**4\/11 + 2*y**3\/11 = 0.\nAnswer: -1\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932 = -3*y + 4*s - 5660, 4*s = 0. Let q = 2428 + y. Suppose 3981 = 7*d + q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110110 (base 2) in base 4?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-6)\/108*3). Solve b + 0 = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vprt when four letters picked without replacement from jpjvjjtr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3556846101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(931)*-2)**2 - -2*sqrt(931)*4 - 1*(sqrt(3800)*2)\/sqrt(2)) + 4.\nAnswer: 36*sqrt(19) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*i = 104*i + 1016085. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1032, 6524, 21414, 50400, 98180, 169452, 268914?\n\"Answer: 783*v**3 + v**2 + 8*v + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3606 (base 8) to base 2\nAnswer: 11110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 1365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106668\/259 - -2883\/7. Calculate the common denominator of 31\/42 and s.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085223?\nAnswer: 3, 19, 79, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/6 - o**3\/2 - 2*o**2. Let a be (5\/(15\/18))\/(-1). What is the remainder when s(a) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u + 134322 + 84533 = 171*u. Is u a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -55*t**2 - 5. Let v(q) = -27*q**2 - 2. Determine -2*m(u) + 5*v(u).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 225, 294?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - -6 - 1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23054771.\nAnswer: 17, 19, 137, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 8. Let m be d(4). Suppose m = -2*o - 4*c + 6, -4*o + 2*c = -0*c - 12. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 6*v + 1. Let c be x(-6). Let n be c + 1 + -3 + 4. Find the second derivative of 3*a + 5*a**2 + n*a**3 - 5*a**2 wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odlbofobfbltblllloof. Give prob of picking 3 o and 1 f.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 2 - 5)*13. Let m = 17 + i. Solve -f - 25 = m*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:43 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -172*g - 41118. Give c(-239).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-5)\/sqrt(2))\/(6*sqrt(6)\/sqrt(2)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 5*x**5\/12 + x**4\/6 - x**2 + 39*x. Let s(r) = -r**2. Calculate g(s(w)).\nAnswer: 25*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*0.034\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3 + 0 - -4))\/(-2). What is the tens digit of x*2\/(-12)*-186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(6\/4 + -1) is divided by 84\/(-30)*(-5)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 7*v - 3. Let k be i(-4). Suppose 2*n - k = c + 1, -5*n = c - 19. Suppose -7*y = -13 - 22. Solve 5*x + 16 = n*q, 0*x + 4*x - 2 = -y*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - o - 1 = 9, 3*d + 3*o - 24 = 0. Let x be (d\/(-4) - -2)*14. Suppose 0 = j + x - 22. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g - 16. Let i be j(3). What is the derivative of -5*x**2 + 13*x**2 + i - 2*x + 2*x wrt x?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + d + 1691 = 0, -7*t = -11*t + 2*d + 1354. Let b = t - 313. Calculate the remainder when 93 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 36. Let h(u) = 3*u + 90. Let q(m) = 5*h(m) + 12*y(m). Let p(o) = 10*o + 55. Give 2*p(k) - 7*q(k).\nAnswer: -k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 53*z**2 - z**3 - 25*z**2 + 4 - 23*z**2. Let g be x(5). Is 0 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = 3*f, -6*v + 96 = 9*f - 14*f. Suppose 0*q = d - 2*q - 12, 0 = -3*d - q + 22. Solve d*c - v*c = -8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22436 by 142.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 40*f - 81*f + 22*f. Let c(h) = 5*h. What is v(c(r))?\nAnswer: -95*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251 - -439783332.\nAnswer: 439783081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13653 + 7987 + 8062 + 867*j**3 wrt j.\nAnswer: 2601*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 18 = 2*s, -5*s + 4*z + z = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 121378, -30 in ascending order.\nAnswer: -43, -30, 121378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(7\/6)\/k)*k)\/k**1)\/(k*(k*k*k**(-1\/15))\/k*k*k*k**(5\/3)*k) assuming k is positive.\nAnswer: k**(-173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*d - 67, 4*w - 5*w = -4*d + 51. Calculate the remainder when (0 - 6)*25\/20*-6 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:25 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411821, -1647327, -3706591, -6589685, -10296681?\nAnswer: -14827651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*g + 19, -4*g + 9 = -4*b - 9*g. Is 387 - b - (6 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-52)*15*1\/(-3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let o = r - -2. Which is the closest to 1? (a) -0.3 (b) 2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37095256 a multiple of 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 6*w**2 + 4*w + 6. Let o be 14\/2*1 + -1. Let v be j(o). Suppose 15 = 4*r - 2*g + 3*g, v = 5*r - g. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 - -5 - -9 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 + -244. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(294)*2)\/(sqrt(75) + (2*sqrt(75) - sqrt(75))) + (-1*sqrt(198))\/(1*sqrt(176)).\nAnswer: 13*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13647737.\nAnswer: 2851, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -414 and 27?\nAnswer: -11178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787129217.\nAnswer: 7, 71, 1583761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:29 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1716329 or 1716332?\nAnswer: 1716332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8494 divided by -31.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 385 + -379. Let d(j) be the first derivative of 1\/7*j**s + 0*j - 1\/7*j**2 + 8\/35*j**5 - 14 - 1\/7*j**4 - 8\/21*j**3. Let d(i) = 0. Calculate i.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 2002*s**2 - 1002*s**2 - s - 998*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/14)\/((-47355)\/539 - -88)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 670*d - 14352. Give u(312).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1048.9 + 1048. What is the nearest to 2 in 1\/4, k, 2\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -863\/8. Let u = -1\/4 - v. Which is the smallest value? (a) u (b) 6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let r be 2384\/(-3594) + (-4)\/(-6). Let v = r - -1184\/4193. What is the closest to g in 1, -1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1977*d - 1215 = 1842*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6027, -2505, 1027, 4575, 8145, 11743, 15375, 19047?\nAnswer: 22765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {b: 1, u: 1, e: 5, k: 2, i: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3877.9 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0139 - -0.4139. Let d be ((-2)\/(-10))\/(2\/295). Let k = 29 - d. What is the closest to -1\/2 in k, h, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + 2 - (-134)\/(-46). Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 - 3. Let n = -19.3 + 17. Let d = y + n. Which is the second smallest value? (a) d (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.07915382 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 308, 648, 1010, 1394, 1800, 2228, 2678?\n\"Answer: 11*h**2 + 307*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7922 + 19709 - 7741 = 510*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, 0 = 5*i + g + 2*g - 150. Let r = 24 - 16. Calculate the remainder when i is divided by -1 + 2*r + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365002, -730004, -1095014, -1460032?\nAnswer: -1825058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 389*j**3 + 13*j - 4*j + 373*j**3 - 741*j**3 to the form b*j**2 + f + h*j**3 + d*j and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*p + 140, -3*p - 93 = -49*g - 13*g + 12 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9457124093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**2 + 3*i - 10. Let m(j) = 30 + 2*j - 3*j**2 - 91 + 21 + 35. Determine 2*h(q) - 5*m(q).\nAnswer: q**2 - 4*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153 - 54?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 22. Suppose 0 = 3*m + 2*v - 10, 5*m + 7 - 17 = -2*v. Let d(r) = r + 6. Let i be d(-4). Put q, m, i in decreasing order.\nAnswer: i, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7\/12, 0.1, -5, 323\/2.\nAnswer: -5, 0.1, 0.4, 7\/12, 323\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/42 and -73\/9109461.\nAnswer: 127532454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 104. Let x be y(-17). What is f in -1\/7*f**x + 4\/7*f - 3\/7 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12421 + -941.13\nAnswer: -13362.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 33 - 43 = 4*i, -26*i - 58*l - 497 = -87*l for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + sqrt(624) + sqrt(624) + sqrt(624)*-1)\/sqrt(12) + sqrt(208)*1 + sqrt(208))\/(1*sqrt(16) + sqrt(4) + -4*sqrt(4)*-1).\nAnswer: 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 285*b**2 + 2773*b - 6333. Give m(275).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1))\/c)\/c)\/c*c)**(-30\/13) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -282 (b) -16396 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - b**4 + 0*b**4)*(89*b + 40*b - 39*b) + (2 - 1 - 2)*(0*b + 0*b + b**5).\nAnswer: 89*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((50\/(-35)*7\/(-5))\/(47*-1))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74988 or 1?\nAnswer: 74988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.985 - 1.06. Let y = -731340 - -731340.07500009. Let u = c + y. What is u rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i**3 + 2*i**2 - 4*i + 2. Let m(y) = 61*y**3 - 9*y**2 + 17*y - 8. Determine 2*m(f) + 9*s(f).\nAnswer: -13*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 6. Suppose -17*o + 11*o = -24. Suppose 5*s + 4*p - 1 = -10, o*s - 4*p = 0. Let u(b) = 1 + 4 - 4 + b. What is s*g(c) - 4*u(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 9*b + 5*b - 250, 8 = -2*b. What is the smallest common multiple of v and 4212?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 12*o - 44. Calculate the remainder when r(18) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - k**3 - 2028*k**4 - 9*k - 2*k**2 + 2030*k**4 + 1 as w*k**3 + l*k + u + z*k**4 + y*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = -22*p + 23*p - 24*b + 18, 14 = -2*p + b for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2506 divide 80675658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -893*r**2 - 647*r**2 - 83*r**2.\nAnswer: -1623*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:14 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**2 - 1. Let b be r(-1). Is (-5)\/b - 74\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 5 - 6 - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Suppose 3*v - 133 = -4*v. What is the remainder when v is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:52 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24001624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1056*j**2*m*q**2 + 4*j**2*q**2 + 165*j**2 + 13*j*m*q**2 + 11*j*m - 4522*j*q wrt j.\nAnswer: 2112*m*q**2 + 8*q**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456248.\nAnswer: 2, 13, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1187758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22321 * -3.\nAnswer: -66963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roojymyw. Give prob of sequence jowo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -0.1337778?\nAnswer: 0.3662222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14100346 (base 7) to base 11.\nAnswer: 816084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.32, -1, 0.0555 in descending order.\nAnswer: 0.0555, -0.32, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*(1 + 2 + -1)\/4. Solve -4*u + 18 = 3*d, u + 0*d - a = -2*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + 352\/(-28) + 78\/14 - -15. Solve 0 = 16*i + 133 - k for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1378 or 1379?\nAnswer: 1378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125644, -6, -5 in descending order.\nAnswer: 125644, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 853745 and 590?\nAnswer: 100741910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1600*c**2 - 1622*c**2 + 4*c + 2*c + (0*c - 3*c + c)*(-2*c - 3*c + 4*c) as t*c + n*c**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3963934, 3963332, 3962716, 3962080, 3961418, 3960724, 3959992?\nAnswer: 3959216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 4975*x**2\/3 + 14147*x\/3 - 832.\nAnswer: -(x - 832)*(x + 3)*(6*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-27)\/(-12)) + 627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 13, 49, 141, 313, 589, 993, 1549?\n\"Answer: 4*r**3 - 8*r**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*n**3*o**2 + 759*n**3 + 2*n**2*o + 14*o**2 wrt o?\nAnswer: -60*n**3*o + 2*n**2 + 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571879059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-3) - 58\/(-174). Calculate the highest common factor of 361 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1633 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 171 + 339 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1667, -1665, -1663?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -894599 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**2 + 518*v - 518*v)*(-1 + 2*v + 1)*(-v**2 + 4*v**2 - 5*v**2).\nAnswer: -136*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 3*o - 5. Let k(l) = -6*l**2 - 7*l + 13. Let p(i) = -30*i**2 - 35*i + 66. Let f(x) = 11*k(x) - 2*p(x). Determine 3*f(g) + 7*u(g).\nAnswer: 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {f: 8, h: 1, u: 10}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15842051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 - 8*o**2 + 8 + 6*o**3 + 0*o**3 + 7*o. Suppose 0 = -t - 2, 3*p - 4*t - 10 = 19. What is the units digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571011 <= 570920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 2*o + 3. Let p(b) = -3*b**2 + 5*b + 5. Suppose 2*g = -7 - 3. Let m(n) = g*u(n) + 3*p(n). What is the second derivative of m(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112002 (base 3) to base 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - 17*p + 68 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 37*j + 116. Let v be f(-35). Solve -140 = -11*l + v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbbbbbdbbbddbddbbb. What is prob of picking 2 b?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36951 is divided by 617?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/57 - -3\/19. Let w = -13 + 14. Let r = 63 - 64. What is the nearest to r in w, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18621996 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -144772 and -144772 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -1\/5, 3\/5, -4\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4374881 is divided by 729142.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34506 + -24*(-13)\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 35*s + 25. Let p(d) = -2*d**2 + 13*d + 8. Determine 3*b(u) - 8*p(u).\nAnswer: u**2 + u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(90) - sqrt(90)) + sqrt(90) + 1*sqrt(40)\/sqrt(4))\/(((sqrt(20)\/sqrt(4) - sqrt(5))*6 + sqrt(20)*-3)*4)*-6.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000303775 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24*r = 23*r - 16, 3*r + 8 = 2*h. Suppose -3*n = -4*p - 67, -4*p = -h*n + 128 - 44. Calculate the remainder when 79 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 194. List the prime factors of n.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241, -47, -3 in descending order.\nAnswer: -3, -47, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -324681, -649312, -973943?\n\"Answer: -324631*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254990839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1, 9 in increasing order.\nAnswer: -3, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3208)\/168 + (-11 - 699\/(-63)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -3*m**2\/2 + 3*m - 8. Let a = 19 - 20. Let f be 1 + (a - (-3 - 0)). Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:45 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15820.42 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z**3 + 22*z**2 + 37*z**3 - 22*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 1. Let w(r) = -r**2 + 6*r - 3. Determine 7*k(o) + 3*w(o).\nAnswer: -3*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1562 and 31.\nAnswer: 48422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-20))\/((-8)\/(-20)*((-56)\/(-14))\/(-1))?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -729*z + 2213. What is w(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/91*93 + ((-98)\/7 - -7).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5034*c - 8359*c - 9719*c + 2427*c = 2482200 for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, g: 5, a: 1, w: 2, d: 5}. Give prob of picking 1 w, 1 r, and 1 a.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-153)*42\/(-56)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 127 = -2*b + s, 2*s = -2*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 1)*3\/9 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1944 divide 14379905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11186.05642 to 0 decimal places.\nAnswer: -11186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 26 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7493209?\nAnswer: 17, 379, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Let o(f) = -3*f - 4. Let d be o(-3). Suppose 0 = -3*b + d*b - 18. Solve -g = 5*i + b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1243769\/892 + -49\/446. Let p = -1382 + m. Let z = -2959\/1629 + 7\/181. Calculate the common denominator of z and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {v: 6, o: 13}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 - 26 = -5*y, -y = -2*h + 1. Let b(d) = 15*d**3 - 2*d + 1. Let s = -1 - -2. Let j be b(s). Solve h*r + 26 - 10 = -5*z, 3*r - z - j = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32279.34ms in minutes?\nAnswer: 0.537989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -491*l - 27. List the prime factors of k(-2).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 8:59 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 + 19\/4. Suppose -u*v = -8*v + 72. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.51 + 46.51. What is the nearest to 0.1 in 13, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (1 - 3) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3151 + -1874.\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*o = -220, 5*w = o - 61 + 305. What is the smallest common multiple of 1542 and w?\nAnswer: 12336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00110497595 rounded to six decimal places?\nAnswer: -0.001105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p - 2*p. Let z(h) = 4*h**2 + 3*h - 3. Let f be z(p). Suppose -2*m + f*m + 57800000 = 0. Round m to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51945 and 7.102?\nAnswer: 51937.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 250*i**2 - 3*i - 183*i**2 - i**5 - 69*i**2 + 4*i**3 + 2*i**4.\nAnswer: -i*(i - 3)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-77288)\/(-6) + (-4)\/12*-2. Suppose 0*w - 3*w + 3*h + 38646 = 0, w + h - v = 0. Suppose -u - w = -7*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9427.57081 to the nearest integer.\nAnswer: 9428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1945, -1, -2 in ascending order.\nAnswer: -1945, -15, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.32233 rounded to 2 dps?\nAnswer: 3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 2\/3 in descending order.\nAnswer: 5, 2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 - 296*b + 3. Let r(p) = -2*p**2 - p + 1. What is k(m) - 5*r(m)?\nAnswer: 5*m**2 - 291*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 23 = -9*r - g, 2*r = -4*g - 2. Sort -44, r, 3 in decreasing order.\nAnswer: 3, r, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*b + 2*b - 11 = 0, -4*r = -5*b - 46. Let l be (60\/(-100))\/(2\/(-10)). What is the highest common divisor of l and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/(-4) + (-2028)\/(-624). Suppose 1007 - 1241 = -n*v. What is the highest common divisor of 429 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:26 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14443.\nAnswer: 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -13*r + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 36*b - 213. Let d be h(-6). Let l = -417 - d. Solve -14*u + l*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -1223 + 1211 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 2*x + 0*x)*(-35 + 6 - 19).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -68, -101, -134, -167, -200?\n\"Answer: -33*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220032 and 27122.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 561*g\/4 + 141\/2.\nAnswer: -3*(g + 94)*(2*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1085 + -37977\/35. What is the second smallest value in -9, -0.3, z, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12 + (-5)\/(2850\/(-703))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 - 6*i + 7. Suppose -3*h + h = -5*d + 5, 3*d = 2*h - 1. Let w be b(h). Suppose 12 + 2 = w*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1 + 0*s + 2*s + 2*s. Suppose 18*c = 22*c - 4. Let w be p(c). Solve 5 = 2*b - 3*n - 2*n, -3*b = -w*n - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 15*m. Suppose m = -11*z + 9*z + 6. Suppose 98 = 2*l + z*y, -3*y - 182 = -4*l - 2*y. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**4))\/z**(8\/5)*(z*z*(z*z\/(z\/(z*z*z\/(z\/(z\/(z*z**(4\/9))*z)*z)))*z*z*z*z)\/z*z*z)\/z**8)**11 assuming z is positive.\nAnswer: z**(2453\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z**(-2\/3)\/z))\/z*z)\/z**1)**42\/((z**(2\/7))**(-49)\/(z**(-2\/7))**(2\/21)) assuming z is positive.\nAnswer: z**(18518\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = 364691*r - 364694*r - 63, 5*y - r - 25 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10855*h**3 - 112*h + 219*h - 108*h - 10841*h**3.\nAnswer: 14*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 10*f - 3. Suppose 0 = 2*m - v - 12, -4*v - 27 = 3*m - 8*m. Give u(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 9:20 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(8\/9)))\/m)\/(m*m**(-6)\/m))**(-3\/13) assuming m is positive.\nAnswer: m**(-53\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2851469 and 436.\nAnswer: 1243240484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-24) + 2\/(-16). Solve -3*f + 15 = -y*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 3*j**4 + 3*j**4 + (j**2 - j**2 - 5*j**3)*(5*j**2 - j**2 - 2*j**2).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2999*g - 113777. What is v(-38)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**2 - 7*o**3 + 2 + 5*o - 33*o + 33*o. Let v(z) = 3*z**3 - 4*z**2 - 2*z - 1. What is 2*m(u) + 5*v(u)?\nAnswer: u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -68*f. Let t(s) = s + 6. Let a(b) be the second derivative of b**3\/6 + 7*b**2\/2 - 8*b. Let o(u) = 6*a(u) - 7*t(u). Give n(o(k)).\nAnswer: 68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 - (-2529145)\/35. Let a = -5372261 + d. Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525, 1048, 1571, 2094?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*f = -2567455 + 2564050 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 295. Calculate g(33).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a decade in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) - (sqrt(143) + -5*(sqrt(143) - (sqrt(143) - 6*sqrt(143)) - sqrt(143)))))\/(2*(sqrt(11) + sqrt(11)*-2)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**2 - 2*y - 3*y**2 + 7*y + y wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 10) to base 15.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/30 + 10*k**2. Let a(p) = 6*p. Calculate c(a(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 140424693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*(-30)\/(-5). Suppose 0 = -2*t - d*t. Suppose -r + t*r + 17 = 0. Solve -2*b = 2, 3*b = -w - 3*w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195313.1 nanometers in micrometers?\nAnswer: 195.3131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*f = 30, 0 = -f - 5 + 3. Suppose -54 = -8*j - 6. Let a = y + j. Solve -4*s = -a*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -1 (c) 0.1 (d) 2195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 - -258.87. What is w rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/35 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 326?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.3*0.204.\nAnswer: 7.6092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*c + 74*c + 19 = -4*w, -2*c + 3 = 3*w. Let k(a) be the second derivative of -7*a**2 - 4\/3*a**3 + 0 - c*a. What is the first derivative of k(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/27 - (-5900)\/(-12). What is s rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h - 6. Let l(p) = 3*p - 2. Let s(r) = 14*l(r) - 4*u(r). Determine s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 = -8. Let l be -1 + 28\/8*k. Let v be 2\/l*(-12)\/34. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299141.\nAnswer: 389, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-16) + (-1)\/(-4). Let w be 1 + (1 - i - 2). Let f = w - -11. What is the smallest common multiple of 2 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 + 22016*u**4 + 30534740*u**3 + 661151128*u**2 = 0.\nAnswer: -2741, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1456*r**2 + 9*r - 3. Let d(z) = -1488*z**2 - 10*z + 2. Let x(c) = -5*d(c) - 6*f(c). What is the second derivative of x(v) wrt v?\nAnswer: -2592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-7 - 2 - -1). Suppose f = 5*l - 0*l. Calculate the smallest common multiple of (-11 + 15)\/(4\/10) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(175)*-2*-5 + -1 + -1 + sqrt(175)*3)**2.\nAnswer: -920*sqrt(7) + 92591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -1 - (-48 + 52).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - d**3 - 3 + d + 30*d**3 - 3*d**3 - 3*d + 2*d**2 to the form u*d + o + b*d**2 + v*d**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 56. Sort r, -1, -4, -3 in increasing order.\nAnswer: -4, -3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 3 + 98*d - 10742*d**5 + 6*d + 93*d + 12 wrt d?\nAnswer: -214840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(q - 1 - 9*q + 0).\nAnswer: 24*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + x**2 - 4*x + 2. Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, -4\/7, -753 in descending order.\nAnswer: 186, -4\/7, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*r**2 - 2*r + 128*r**2 + 2*r + 72*r**2 + 0*r.\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3738930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 608 - -1?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 174\/(-120) - (-6)\/(-30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 301999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2279, 15725, 51835, 121943, 237383?\nAnswer: 409489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 83.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62490 and 0.058?\nAnswer: -3624.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -237. Let s = 171 + a. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.01, 1\/15, 4, 0.5, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -761123 divided by 4\nAnswer: -761123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:45 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 14*z**2 + 13*z + 2. Let p be j(13). Suppose -p*x = -4*x + 6. Let l be x - (-1 + 0 + -1). Solve l*m + 10 = 0, -4*w + w - 13 = 2*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248973 to the power of 1\/2, to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:51 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 6*o + 7. Let y be h(5). Let k(r) = r - 3. Let n be k(y). Let g be ((-2)\/(-8))\/(1*(-9)\/6). Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from yyyyzryeytyetuzyu.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -313087?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 + 2*b**2 + (b - b - 2*b)*(-b + b - b) - 2*b + 2*b - 2*b**2)*(-76*b**3 + 26*b**3 - 64*b**3).\nAnswer: -228*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - l - l**4 - 5*l**2 + l**3 + 3*l + 37*l**2 to the form y*l**2 + w + m*l**3 + x*l**4 + a*l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 17224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 943, 1469, 1955, 2401, 2807?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0274 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15738287 is divided by 1826.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*u - 7. Suppose u*s + 0 = 8. Suppose -10 = -s*b + 2. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 217, 220, 223, 226?\n\"Answer: 3*j + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = 3. Suppose -45 = -5*a - u. Calculate the remainder when 13 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 705 divided by 47\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -410 - 4?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + 3 + (-7 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15*o = -56. Solve 2*q - 4*c = -16, 0*q + c - 11 = o*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 + 4*q - 7. Let l be x(2). Solve 2*i - 5*w = l*i - 20, -8 = 3*i - 2*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*b + 20, 0 = -b + v + 3 + 1. Suppose 0 = 4*u + 16, b*s + 3*u = 19 - 3. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 10, 4, 47, -29, 1, -4 in descending order.\nAnswer: 79, 47, 10, 4, 1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35*(-16)\/24*(-6)\/10. Let f be (-6)\/m - 153\/(-63). Is f > 13\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/(-138) + 19 + -17 + (-2305)\/1308 and 113\/1962?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -9*b + 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216.7098365 - -118.7098523. Let c = -0.53 + 98.53. Let y = c + m. What is y rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17371 * -0.4.\nAnswer: 6948.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174819 is divided by 87333.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-40))\/(28\/(-70)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfff when four letters picked without replacement from {f: 3, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/(-4 - 9) + (-17 - -9))*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -4, 0 in ascending order.\nAnswer: -4, 0, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from hhhzzh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 24700*g + 222112. Calculate z(-9).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = 5*h + 52. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4246143 by -7359.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvlvlvlllvv?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6179, 12445, 18711, 24977?\nAnswer: 31243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 3*y - 15. Let m be c(7). Suppose 0 = 3*g - m + 2. What is the greatest common factor of 238 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531, -3, -9, 6.\nAnswer: -531, -9, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*i = -0*k - 14, i + 7 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*t = 391, t + 2507 - 1038 = 4*u. Calculate the smallest common multiple of 27 and u.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + 4 + sqrt(19) - sqrt(19)) + -5 - (4 + (sqrt(114) - (sqrt(114) + sqrt(114)*-4))\/sqrt(6)))**2 + -3)*4.\nAnswer: 288*sqrt(19) + 1528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - (-24)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1073? (a) -2\/3 (b) -2\/9 (c) -1 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2*o. Solve i + 21 = -4*h, 3*h = o*i - h - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*q**3 - 26030665*q + 26030665*q.\nAnswer: 93*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001669 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7857 take away 3?\nAnswer: -7860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29860, -59751, -89640, -119527, -149412, -179295, -209176?\n\"Answer: t**2 - 29894*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*i**3 - 220*i**3 - 813*i**3 - 264*i**3.\nAnswer: -1777*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 233722.2 and -1.\nAnswer: -233722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689490232.\nAnswer: 2, 991, 86969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3375*t**2 + t + 1. Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18312\/8720)\/(((-54)\/60)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585 (base 12) to base 14.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h + 5. Let v be j(2). Let d = 5 + v. Let w = 229 - 2063\/9. Is w at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/120 and 6\/(-440)*(-2222)\/(-66)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.13 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696511 is divided by 1135.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -196 (base 10) to base 14\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3 - 38\/(-14)). Let h be (40\/(-15))\/(t\/6). Let w = h + -31\/21. Is w > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532\/47 > 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -26. Suppose -a = 3*a + g*n - 75, -5*a - 4*n + 94 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*h**3 - 7313*a*h**2 - 2077*h**3 wrt a?\nAnswer: 2*h**3 - 7313*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 5*x + 3*x**2 + 81*x**3 - 99*x**3 in the form n*x**3 + f*x + i*x**2 + z and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 5*t + 2. Let j be z(5). Let c be j\/8 + (-62)\/(-8). Suppose -r = r - c. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from pupqjpjpspgjjqs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20478*r**4 - 11*r**2 + 457111.\nAnswer: -81912*r**3 - 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 9. Let t be v(8). Suppose 5 = 3*k - t. Suppose -4*w = -4*p - 156, -k*w + p + 110 = 31. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12673 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 18*h = -29*h + 627. Let d(w) = 5*w**3 - 10*w**2 + 4*w - 3. Let j(c) = 14*c**3 - 29*c**2 + 11*c - 8. Give h*d(o) - 4*j(o).\nAnswer: -o**3 + 6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/95385127 and 9\/4.\nAnswer: 381540508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/151 + 598\/453. Let p be -2 - (-5)\/2 - 1. Which is the third biggest value? (a) i (b) -1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.52 times 0.07231\nAnswer: 0.0376012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8*s + 57 = 9*s. Let p(f) = -3*f + 8 + 8 - f. Let x be p(s). Solve x*v + 13 = -3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)*(-4)\/4. What is the remainder when 58 is divided by -4 + f - (-184)\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 - -314.0000429. Round x to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/5 + (-9)\/(-15). Suppose 0 = 4*d + 3*k + 19, k = -d - 3*k - w. Let f(g) = -g**3 - 2*g**2 + 7*g + 6. List the prime factors of f(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/59, 3, 1599, -0.4, -0.2 in decreasing order.\nAnswer: 1599, 3, 4\/59, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/5 + 9*j**3 + 9*j**2\/5 - 129*j\/5 - 18 = 0 for j.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 106 = -4*k - 113, 0 = -k + z - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 4, d: 8}. Give prob of picking 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120164 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 3*k + 6*k + 65, -5*k - 43 = -2*v. Solve -2*i - l - v = 3*i, 20 = -2*i - 4*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -1434, -1436, -1438?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6))**3*y**(-18)\/(y*y**(-23)*y) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h - 4*j - 22 = 0, -24 = 4*j. Solve 13*v = 16*v - 3, 5*s + h*v - 22 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 + 8*m + 6. Let p be c(-2). Solve -17*k = p*k - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -4 + (6 - (3 + (-4 - -8))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + y**2 + 4*y**4 + 5*y - 3 - 4*y - 3*y as u*y**2 + j*y**4 + b + l*y + x*y**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 (base 5) in base 7?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3884*n**2*v*x - 3*n**2*x**2 - 8*n**2*x + 2*n*x**2 + 3*n + 2194*v*x**2 - v*x + 71*x**2 + 13 wrt v.\nAnswer: -3884*n**2*x + 2194*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -15 (c) -1\/5 (d) -4 (e) 4\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11884400 a multiple of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 17\/3. What is the biggest value in l, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 25147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 3*m + 3. Let w be q(4). Suppose 0*d - p = d - 1, p = 5*d + w. Let t be (1 + d)\/(1 + -2). Solve y + 2 + 0 = t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5545 + -1303?\nAnswer: -11252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/22)\/((s\/s**1)\/s) assuming s is positive.\nAnswer: s**(25\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/7 - 1436*w\/7 - 1408 = 0. What is w?\nAnswer: -352, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -31*c - 2. Let w be s(-12). Find the common denominator of (-1)\/(-16)*w\/(-10) and 119\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/46883 and -73\/19784626.\nAnswer: 19784626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*l, 0 = 3*c - 3*l + 141. Let r be (-5 - -9)*c\/(-8). Does r = 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-387 - -391)\/((-120)\/102)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/24 - t**3\/12 + 4*t - 3. Let q(g) be the first derivative of v(g). Factor q(x).\nAnswer: x*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.5 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 12*q - 7. Let o be l(-8). Suppose o + 134 = 3*y. Let w = -26 + y. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*r**3 - 372*r**3 + 231*r**3 - 112*r**3 - 271*r**3.\nAnswer: -732*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(6\/(8 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -10. Let l = k - 21. Suppose 3*y - 32 = -l*u - 0*y, -3*y = -12. Solve -o - 3 = 3*t, 4*t + 5*o + 3 = u*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4775 - 4772. Suppose -9\/2*m**2 - 1 - 7\/2*m - 1\/2*m**4 - 5\/2*m**v = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7051703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 2877, 5267, 7655, 10041, 12425?\nAnswer: 14807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337005761 to the power of 1\/2, to the nearest integer?\nAnswer: 18358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6721*b + 2. Let f(q) = -15*q. What is f(c(l))?\nAnswer: 100815*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.24 + 1.7. Let d = t - 0.36. What is the nearest to d in 5, -4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9))**7)**(-10\/3)\/((((o*(o*o**(-4)*o*o)\/o*o)\/o*o)\/o**(-3\/4))\/(o**0\/(o\/(o*o**(1\/2)\/o*o*o)*o))) assuming o is positive.\nAnswer: o**(533\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*t - 4*y, 5*y = 3 + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 83908*x - 16781598. Give j(200).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -179. Let x = -71.9 + j. Round x to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/8 + (-14)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3482687 - 8.3483177. Let o = -18 + 11. Let c = o - u. What is c rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.12 + 69. Let b = 0.12 + d. Sort 0.4, 0.5, b in decreasing order.\nAnswer: b, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3141*u**3 - 2*u**2 - 10626.\nAnswer: -18846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.49338509 to 1 decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022111222 - -211?\nAnswer: 10022112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023158461 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496754, -993543, -1490342, -1987157, -2483994?\nAnswer: -2980859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:25 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:09 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -1366*c**3\/3 - 51856*c**2\/3 - 48566*c\/3 + 1924\/3 = 0. Calculate c.\nAnswer: -37, -1, 26\/683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:10 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332891248 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*0\/2131\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -581*m**4 - 753*m**4 + 609*m**4 + 1713 - 226 wrt m.\nAnswer: -2900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27208)\/(-76) + (0 + 3 - -2) is divided by 112.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (600\/(-800) + 1\/4)*(-883132)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -947 - -946.3. What is the second smallest value in -1\/8, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 0. Let v(f) = f**3 + 15*f**2 + 11*f - 19. What are the prime factors of v(h)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*l + 14 = -l, 960*l = -5*r + 957*l - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2333 (base 4) to base 15\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7763 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 14231933.\nAnswer: 3\/14231933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.043 - 0.04351. Round n to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (1 + sqrt(637) + 3 + sqrt(637) - (sqrt(637) + 0)*2 - 6*(-2 + -2*sqrt(637))))**2.\nAnswer: 2184*sqrt(13) + 91897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157859227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 56, 142, 260?\n\"Answer: 16*n**2 + 6*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - z = 23, -2*z = -92*h + 90*h - 44. Sort -22, h, 3 in decreasing order.\nAnswer: 3, h, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 37 - (-12 + 2 + (22 - 8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - 38*x**2 - 4*x**2)*(5 - 5 - 2*x)*(x - 5*x + 2*x).\nAnswer: -184*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3823, -7649, -11475?\nAnswer: -15301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/26 in 5, 0.4, 1, 25, -35.47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35718256850 take away -0.1?\nAnswer: -35718256849.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690913575 to the nearest integer?\nAnswer: 26285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*t - 308 - 45*t + 311 to u*t + d and give u.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16.2085023 nanoseconds?\nAnswer: 0.00000000000018759840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93982, -187961, -281936, -375907, -469874, -563837?\nAnswer: -657796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 2*d + 4)*(5 - 4 + 1) + 2*d - 2*d + 4*d - 1 + 2*d + 1)*(1 - 5 + 1)*(-5 - 2 - 1) to v + c*d and give c.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*t + 145*t = 2. Let o = -431 + 430.8. Which is the closest to o? (a) t (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205631 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 60. Suppose 0 = 2*l - 5*v, l + 0*l + 5*v = n. Factor -2*g**5 - 4*g**2 + g**l - 5*g**4 + g**4 - 4*g**3 - g - 2*g**3.\nAnswer: -g*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10182 + -18882. Round a to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3324*h + 11 - 20 + 3264*h + 8.\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (39\/(-2))\/13*363\/27 and 20\/(-30) - 201\/(-90)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9 - 0. Let a(u) = -2*u + j - 2 + 1. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 11\/134870598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 70. Suppose -9*g + 4*g = h. Let y(k) = -k - 7. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + i - 4 + 7 = 0, -101*j + 2*i = -99 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-2775)*1*-6.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*x**3 - 92*x - 141*x**3 + 92*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 890*l + 3545. Let c be t(-4). Solve c*k = 29*k - 72 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (16 - (38 + -55))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3830 * 0.4.\nAnswer: -1532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v. Let s(d) = -4*d. Let t(p) = -2*i(p) - 3*s(p). Let g be t(4). Are 14 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/14? (a) 0 (b) -0.1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 19*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*i + 8 = -5*r, 0 = r - 4*i + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1576, -4477, -8702, -14251, -21124?\n\"Answer: -662*i**2 - 915*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 7*y**2 + 0*y + y + 25*y**2.\nAnswer: 38*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*d**3 - 537*d**3 + 1586*d**3 - 602*d**3.\nAnswer: -93*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/216 and 73\/18.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38*(-4)\/16)\/(1\/2). Solve -5*g - p = -3*w, 5*g = w + g - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 7, u: 3}. Give prob of sequence uu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-104507)\/78*10*6\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 - 209*h**2 - 15934*h + 32696 = 0. What is h?\nAnswer: -61, 2, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 318111, 318115, 318119, 318123?\n\"Answer: 4*f + 318107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c**2 + 2*c. Let t(k) = -993*k. Give t(a(l)).\nAnswer: -12909*l**2 - 1986*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/9 + 2*m**3\/9 - 8*m**2\/9 - 8*m\/9 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 705\/(-6))*84\/(-126). Which is greater: -72 or v?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-130)*(40\/(-4) + 5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a factor of 1001130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067695 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2\/8 + 213*f\/2 + 1251\/2 = 0.\nAnswer: -278, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.269124um?\nAnswer: 0.006269124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267 + -190. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((30\/(-125))\/(-2))\/(9\/(-6)). Suppose 2*h = -2*h + 132. Suppose h*l = 32*l. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -94*r - 4*k - 75, -5*r - 4*k - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:31 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31002303 (base 5) in base 4?\nAnswer: -331013120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 15 = 9. Let h be 5 + 4\/x - 1. Let v be (-1 - 5\/3)\/2. Are h and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5926 + (17 + -13 - 21)?\nAnswer: 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 8:24 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46.28 and -0.146262?\nAnswer: 46.133738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyku when four letters picked without replacement from {u: 7, k: 3, h: 1, y: 1, x: 2}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/20 + 491\/2. What is q rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33171.7 kilometers in micrometers?\nAnswer: 33171700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1)*(-4)\/(-6). Suppose 3*n = r*n + 54. Let d(c) = c**3 + c**2 + 18. Let u be d(0). What is the highest common divisor of u and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34098675 and 6396.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/3 - 5\/15. Let v be -2 + (3 - g - -2). Let q = 2 - v. Let k(b) = 2*b - 1. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 264608 and 0.5.\nAnswer: 132304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v - 962 = -318*v + 2888 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-64))\/(0 - (-5)\/(-70))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 3*d - 3*k, -2*k = 2*d - 18. Solve 0 = -d*r + 48*r + 36 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -756 and -124 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 237 + 237 - 6*y)*(-1 + 5 - 3)*(-1 - 5 + 2)*(-15 + 5 - 11).\nAnswer: -168*y**2 - 504*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2253 smaller than -2253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 2, 1695632 in ascending order.\nAnswer: -4, -1, 2, 5, 1695632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18084 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6886, -1\/4, 3 in increasing order.\nAnswer: -6886, -1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6230292 and 18.\nAnswer: 18690876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 9. Let j(m) = m + 4. Let o(z) = -2*h(z) - 5*j(z). Determine o(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.06 (b) 16 (c) 0 (d) 546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 7*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 80*s - 106. Let h be -23 + 27 - (-8 + 2). What is the units digit of z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -2.97. Let q = -1.7 + 1.6. Let l = 1 - 0.6. Which is the closest to q? (a) l (b) s (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76346381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -1 + 540\/(-9). Let o = -28 - d. Let w be 12 + 49\/(-14)*2. Solve -x + 0*x = 4*t + 9, 4*t + w*x = -o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*s = 88, 4*v + 245 = 2*s - 83. Suppose -5*i + 4*h = 32, 11 = 5*h - 4. Let x = i - v. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1473680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 963\/535*2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2217 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 - 47\/235. Sort 3, l, 0.1, -1\/53.\nAnswer: -1\/53, 0.1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*c**2*h*k**3 + 2*c**2*h*k**2 + 16*c**2*k**3 - c*h*k**2 + 766*h*k**2 wrt k?\nAnswer: 96*c**2*h + 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6150, -12306, -18452, -24582, -30690, -36770, -42816?\nAnswer: -48822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*i + 2 = 0, i + 7 = -f - i. Suppose 4*g - 84 = 3*g + f*z, 5*z = -3*g + 196. What is the greatest common factor of g and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -85, -244, -487, -820, -1249?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4014?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 + 2*m + 15. What is the remainder when h(0) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -30. Suppose v*a - 111 = -27. What is the remainder when 60 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 97342\nAnswer: -5840.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2725 - 1?\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpcmvaq. What is prob of sequence apqm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 78*t - 4723. Give r(-118).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244395, 977600, 2199609, 3910422?\nAnswer: 6110039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 21*z - 5*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 133. Suppose -3*f - 4*l = -23, q*f + 2*l = 5 + 9. Let b = 2 + -1. What is the nearest to b in f, 0.5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**2 + 28*p**2 - 57*p**2 - 66*p**3.\nAnswer: -66*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 13*c**3 + 3 + c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 + 25*d + 29. Let s(i) = -5*i**2 - 12*i - 14. Let l(p) = -6*j(p) - 13*s(p). Let n be l(7). Solve 0 = t - 3 + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/8)\/((-346)\/(-6228)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1035 in 0.2, -2, 0.21, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5*(-15)\/(-3). Let p = -264 - -1053\/4. Which is the closest to z? (a) 0.5 (b) 1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5, 4, 0.2, 0.043, -25.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 1\/3, 5, 59.80901?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 12*i**2 - 12*i + 11. Let x be f(11). Suppose 38 = -x*l + l. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -d - 2. Suppose d = -0*t + 5*t. Let z = 262\/3 - 88. What is the nearest to -1 in t, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11541836 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 e when four letters picked without replacement from eaafaaaaaaeaefrreaaa.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 12. Suppose -50 = 7*n - k*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 165 = -37*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-5 + 11 + -7). Suppose 4*s - 3*t + 23 = 0, 4*t - x = -0. Which is the second smallest value? (a) -4 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-3)\/(-36) - 1119\/(-4). What is the highest common divisor of 28 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 36 + 4*n - 35 + 69 + n. What is p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11723 + -4.88277. Let j = -12 + -11. What is the third smallest value in -4\/5, u, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**5 + 7*a**4 - 285*a**3 - 2346*a**2 + 4*a + 1 wrt a.\nAnswer: 420*a**2 + 168*a - 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1702461*v**2*x**2 - 100*v**2 - 19335*v*x - 14864*x**2 wrt v?\nAnswer: 3404922*x**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ccccsqqcs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 0, 25, 72, 147, 256?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 0.7. Which is the nearest to 0.1? (a) -2\/11 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 331, -5, -252?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*t**2 + 3*t**3 + 6*t**2 - 1546*t**4 + 1508*t**4 wrt t?\nAnswer: -912*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -29636.9.\nAnswer: -29633.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9221990.\nAnswer: 2, 5, 17, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d - 5. Suppose 4*o + m - 1 = 3*o, -4*m + 31 = -5*o. Let p(x) = -2*x + 5. Calculate o*p(y) - 2*w(y).\nAnswer: -2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/28 + ((-6336)\/(-28))\/6. Calculate the highest common divisor of i and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from mgmmlmellggm.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**3 + 7*f**2 + 6*f + 2. Let a(g) = 15*g**3 - 13*g**2 - 11*g - 3. Let i be 105\/(-63) - (-56)\/(-6). What is i*c(q) - 6*a(q)?\nAnswer: -2*q**3 + q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + 3. Let j = 1 - 0. Let f = j + 2. Sort f, i, 2.\nAnswer: i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = 3*p - 2, -2*u - 5*p = 2. Suppose -3*r = -2*j + 7, 2*r - 2*j + 8 = -0*j. Which is the closest to r? (a) 3 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 58. Is 20 a factor of 990\/40 - (-2)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 1770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430279811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 25*h - 67. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 219?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = j - 16, 5*j + 325*n - 10 = 326*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = c + 6, -4*c + 30 = 5*j. Let k be ((-10)\/(-6) + j\/18)*1. Solve 5*h + 3*r = 5*r - 13, -3*r - 9 = k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, c: 3, b: 5}. What is prob of picking 1 c and 2 h?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7 + 29*t - 4 - 1. Does 22 divide r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 + 2 + -1. Factor -2\/5*i**k + 0 + 1\/5*i + 1\/5*i**3.\nAnswer: i*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 10*t - 7. Let b be (0 + -1)*18\/2. Let w be p(b). Let q be (-1)\/2*w\/2. Solve 0*z + 19 = 2*r + 3*z, q*r - 5*z + 17 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 10 - 0, -40 = -5*f - 5*u. Let b(l) = -l**2 + 6*l + 1. Let t be b(f). Is 765 - (-2 - t)*6\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5539, 20685, 45441, 79807, 123783, 177369, 240565?\n\"Answer: 4805*f**2 + 731*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -740554168*j**6 - 2680*j**2 - 2890*j + 8.\nAnswer: -88866500160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-91) - -10*90\/2100\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -589 + 592. Let i = 482 - 481.7. Which is the biggest value? (a) -15 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/5)*l)**(-1\/39)*l**(-1\/13)*l\/(l\/(l\/(l\/(l\/l**(8\/3))))) assuming l is positive.\nAnswer: l**(-113\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(68)*-3*-1)\/((sqrt(24)\/sqrt(2)*-2)\/(sqrt(3) - sqrt(30)\/sqrt(90))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -818 or -79270\/97?\nAnswer: -79270\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 493 = -b, -4*c - 5*b - 132 = -613. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.28, -0.4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 4*i**6\/15 - 10*i**2 - 3*i. What is the first derivative of t(b) wrt b?\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (-12 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9490 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537044, -2148208, -4833498, -8592926, -13426504, -19334244, -26316158, -34372258?\nAnswer: -43502556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 337. What is the common denominator of w\/(-9)*(-3)\/(-12) and (-3)\/14*206\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111001100 (base 2) to base 9.\nAnswer: -6851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 + m**2 + 2*m**2 + 2*m. Let d be a(3). What is the smallest common multiple of 22 and (-2)\/2 - 21\/d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 590623181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nczz when four letters picked without replacement from unznnuccuzcnzncnz?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 39*h - 5442 = 35*h, -2*r - 2*h = -10872. Does 26 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3.16350642304095.\nAnswer: -1.83649357695905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((525\/250*-10)\/7)\/((-3)\/(-130))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 + j + 15. Calculate h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40682.\nAnswer: 2, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 274263.6 * -1\nAnswer: -274263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2759 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 5*u - 4. Let i be k(-1). Factor 1\/2*z**5 + 0*z + 1\/2*z**i - 1\/2*z**4 - 1\/2*z**3 + 0.\nAnswer: z**2*(z - 1)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w**4\/5 - 7793*w**3\/5 + 2173787*w**2\/5 - 2784223*w\/5 + 618222\/5 = 0.\nAnswer: 2\/7, 1, 551, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**2 - 4*n - 5. Is w(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 124196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/450763302 and 62\/21.\nAnswer: 3155343114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398046, -796092, -1194138, -1592184, -1990230, -2388276?\nAnswer: -2786322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6901 = 6905 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -672, -913, -1146, -1371, -1588?\n\"Answer: 4*f**2 - 253*f - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3222226, 12888918, 29000076, 51555700, 80555790?\n\"Answer: 3222233*c**2 - 7*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u + 41. Let o = -50 - -60. Let c be w(o). Let b be 1 + -1 - (c + -3). Solve -b*j + 0*j = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2346 + -2347. Which is the fourth smallest value? (a) 4\/3 (b) 0.07 (c) 23 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5))**22\/(z**7)**(-5) assuming z is positive.\nAnswer: z**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.092 + -0.1. Let n = 4.308 + a. Round n to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 + 15955*z**4 + 128185*z**3 - 718775*z**2 - 3201500*z + 7997500 = 0. What is z?\nAnswer: -10, -5, 2, 5, 3199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 376, 397, 436, 499?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -21. Let h = 0.15 - -41.85. Let o = h - 40. Which is the third biggest value? (a) 9\/4 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129960 rounded to the nearest 1000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515892.\nAnswer: 2, 3, 13, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-8))\/(12\/60*35\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f - 437. What is y(19)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 10*c**2 + 8*c + 15. Let f(y) = y**3 - y**2 + 5*y - 5. Let w be f(2). Let u be h(w). Solve 3*x = 3 + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 327 + -330. Let o = 727\/7 - 104. Which is the third smallest value? (a) j (b) -5 (c) 2\/9 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 minus 0.7?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*11*(-7)\/(-770)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*s**2 + 2*s**3 + 1579*s**2 - 2*s**3 + s**3.\nAnswer: s**3 + 1772*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167200*x**5 + 6371*x - 8 wrt x?\nAnswer: -3344000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, 2\/11, 2\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 211 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z - 9 = -87*z + 5*c, 18 = -4*z - 2*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.5 - 2.5. Put -2, v, -4\/3 in ascending order.\nAnswer: -2, -4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -166?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 305917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 - j + 9. Let t be v(4). Suppose h - 83 = -2*b, 3*h - 205 = -0*b - t*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62.4 - 26.4. Sort -4, y, 0.3.\nAnswer: -4, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. Which is smaller: 9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 660*c + 55927. Determine o(76).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 10*b**2 + b + 9. Let q be k(-5). What is the second derivative of 20*t**3 - q*t + 9*t + 4*t - 3*t wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s**2 + 278*s + 1144. Let b(j) = -58*j**2 + 1390*j + 5720. Let i(y) = 3*b(y) - 16*k(y). Let i(a) = 0. Calculate a.\nAnswer: -4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/66480 and -115\/449982.\nAnswer: 4985800560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33960950.\nAnswer: 2, 5, 679219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2213324047\/2832 + -781541. What is the common denominator of 7\/176 and q?\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -36. Let y = t + 4. Suppose -2*p + 19 = 5*z, 2*p + 4 + 1 = y*z. Put 0, 5, z in decreasing order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3671 - -3653) + (-204)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let j(h) = -11935*h. Determine o(j(x)).\nAnswer: -284888450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45597084 is divided by 330?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from dhiwhjhidh?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y - 4. Let j be l(-4). Let w(n) = n**2 + n - 4. Let c be w(j). Let q(u) = 44*u + 4271. Let m be q(-97). Solve m*i - c = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207168 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = m - 6, -6 = -3*m - m - 2*i. Let h be m\/2 - (6 + 32\/(-6)). What is the nearest to h in -0.03, -4\/5, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (15200 - -43)\/((-5)\/(-2) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2180545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let j be 2\/(-10) + (-38)\/10. Let o be g\/1*(-15)\/j. Solve -4*k - 1 - 2 = 3*m, -3*m + 2*k = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i**(1\/18))\/i)*i)\/i**1)\/(i**(1\/4))**(6\/11) assuming i is positive.\nAnswer: i**(179\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 - 2631 = -2919*y + 3490*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(1\/8)\/(u**(-11)*u*u**11))**40 assuming u is positive.\nAnswer: u**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32013 - 3332043?\nAnswer: -3414111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 12:37 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -466 (b) 0.846 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5880\/(-840))\/(7\/29)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:59 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3676797, 3676794, 3676791, 3676788, 3676785, 3676782?\n\"Answer: -3*x + 3676800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 157.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrj when three letters picked without replacement from djdqr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68273546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 3\/2, -90, -92, -1 in decreasing order.\nAnswer: 3\/2, -0.03, -1, -90, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 6*q**2 - 7*q + 9. Calculate d(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 1. Let i(z) = z. Let o(a) = 10*i(a) + 4*u(a). Give o(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13 - (-1162 - 9\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.2 (b) 0.5 (c) -2\/7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkdd when four letters picked without replacement from ojddodk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(4\/21)\/v)\/v))**(35\/6) assuming v is positive.\nAnswer: v**(295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 + 60*c**2 + c + 13. Let s be x(-15). Put 7, -3, s in descending order.\nAnswer: 7, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 21*m**2 - 36*m + 23. Calculate v(19).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117 + 1120 + 0*i - 20*i + 1118 - 3355.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.354 * 16.\nAnswer: 53.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p**2 + 23*p - 624*p**3 + 26 + 625*p**3 - 5*p. Let t be z(-19). What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0499*-0.137.\nAnswer: 0.0068363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -10.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3742 (b) -5 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19478152?\nAnswer: 2, 73, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-21))\/(((-736)\/144)\/23)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57200723893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/22)\/(192\/(-42240)*-2060).\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4 + 17*q**3 + 417*q**2 + 1967*q + 1568 = 0. What is q?\nAnswer: -7, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*k**3*r**2 - 22*k**3 - 465*k**2*r**2 + k**2 - 2*k*r + 16*r - 3 wrt r.\nAnswer: 556*k**3 - 930*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {n: 3, i: 2, l: 3, j: 1, w: 6}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -301. What is the lowest common multiple of h and 178?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a8628 (base 16) to base 13.\nAnswer: 102005c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*q - 5*n + 7, 2*q - 26 = -4*n. Let h(k) = k**3 - 3*k**2 + 4*k. What is the remainder when (8\/(-10))\/(8\/(-340)) is divided by h(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-15 + 6 - (6 + -7 + -8 + -2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16892 - -5131. Let o be 440351\/(-20) - 6\/15. Let m = o + i. Find the common denominator of 143\/6 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2. Let g = 2 + -4. Let p be n(g). Let l(t) = -t - 4. Let r be l(-5). What is the greatest common divisor of r and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4757?\nAnswer: 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 3}. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 406*q - 7320 = 0. What is q?\nAnswer: 20, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.63114304 to 3 dps.\nAnswer: -61.631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 28*j**2 + 690*j + 3956. Calculate w(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 582\/24 + (-21)\/(-12) + -2. Suppose -6*g + n + 0 = 0. Let q(m) = m**2 + 4*m - 2. What is the remainder when q(-6) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2 - 0)\/2). Let m be -2 - (u + -3 + 16000). Round m to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 252*o**2 + 1521*o - 18. Determine n(6).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 52*x**3 - 8*x. Let t(v) = v**3 - v. What is h(f) - 8*t(f)?\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -169, -364, -625, -946, -1321, -1744, -2209?\n\"Answer: h**3 - 42*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*v - 29640 = -8152 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: (-108)\/44 + (5 - (-8 - (2 + -13)))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h*h**30*h*h)\/h*h)\/((h\/((h*(h\/h**(-8))\/h)\/h))\/h))**(-4\/27))**(-28) assuming h is positive.\nAnswer: h**(4816\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from pooonpf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -126*n + 9943. Determine x(79).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/(-2))\/11)\/(11\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15273, -29979, -44685, -59391?\nAnswer: -74097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -28. Solve 0 = j*n - n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*o + 206*o - 1152 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - g**3 - 4*g + 6*g + 8*g**2 + 8*g**2 to r*g**2 + h*g + s*g**3 + o and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 9*y**5\/20 + 15*y**2\/2 + 11*y + 10. Let i(u) be the first derivative of v(u). Differentiate i(f) wrt f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:01 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuekuuwuuueuk. Give prob of sequence ue.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c + 20. Let j(a) = -5*a + 7. Let p(f) = 17*j(f) - 6*m(f). Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*r*t**2 - 626757*r*t - 4*r - 31853883*t**2 wrt r.\nAnswer: 15*t**2 - 626757*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmaaaaaaaaamaaa. What is prob of picking 4 m?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8043, 32495, 73183, 130101, 203243?\nAnswer: 292603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -0.7. Let p = -4.18 - -0.18. Sort p, s, 0.2 in ascending order.\nAnswer: s, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360196 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -257, -388, -521, -656, -793, -932?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26896226 is divided by 928.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + c**3 - c**2 - 41 + 86 + c to a*c**2 + d + z*c**3 + f*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 331818552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 15 = 8*c. Suppose -2*n + c*b = -47, 3*n - 19 = 3*b + 56. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*m - 308, 3*y - 2*m + 1655 = 8*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7))**(-2\/59)*(s*s**(-2))\/s**(1\/6) assuming s is positive.\nAnswer: s**(-2915\/2478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.9 plus 172?\nAnswer: -968.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l + 912 - 912 + 381009*l**3.\nAnswer: 381009*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 61 = -5. Suppose -2*s + 91 = t + b, 0 = 3*t + s - 184. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38679 - -231563\/6. Which is greater: -85 or p?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -680*c**3 + 1261*c**2 wrt c?\nAnswer: -4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m + 17 = -22*m + 293 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 126789544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2348 + 2118. Put -9, 0, k in ascending order.\nAnswer: k, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b + 188. What is y(32)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from {d: 1, j: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*c = 4*c - 82, -h - 3*c - 31 = 0. Let r = -9 - h. Suppose -5*f + 87 = -r. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/210 - 1163*g**5\/60 + g**4\/12 + 22*g**3 - 28*g**2 - 14*g. Find the second derivative of c(q) wrt q.\nAnswer: 12*q**2 - 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 7*k + 1. Give b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62608\/10062*(2\/(-8))\/((-2)\/6)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)\/((-7)\/(-21)). Let i(y) = 2*y - 12. Let x be i(8). Sort x, 3, u in decreasing order.\nAnswer: x, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -6745424.\nAnswer: -26981696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 - g**3\/6 - g**2 + 22*g. Determine z so that t(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12 and -13\/110755140.\nAnswer: 110755140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/12 + 2*s**3\/3 + 5*s**2\/2 - 12*s. Give v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 308\/14 + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -99 (b) 1\/2 (c) 10 (d) -3 (e) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.091 + -14.109. Let o = 14.269 + p. Let f = -0.06899938 + o. What is f rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**2 - 29*r. Let n(f) = 8*f**2 - 29*f. What is 5*n(z) - 4*p(z)?\nAnswer: 4*z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifiibbxbbibfqbxbiibi. Give prob of picking 1 f and 1 b.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 232777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/(-70)*280\/(-64)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a decade in months?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q + x, -4*q = -9*q - 5*x + 5. What is the common denominator of 13\/16 and (496\/120)\/((-8)\/q)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 38. Suppose 0 = 18*l - 3*l + 75. What is the closest to -0.1 in l, b, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in 3, -1\/18210, 2\/3, 0?\nAnswer: -1\/18210","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-609)\/(-1421) - (-1194)\/7 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 596177.4 months?\nAnswer: 496.8145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - (-123 + -118 + 81).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + 4. Let n = 6\/17 - 20\/153. Which is the biggest value? (a) n (b) -0.05 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49558.3233 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6984381978 to the power of 1\/3, to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 6*x + 6*x + 2*x**2 + (5*x - 6*x + 3*x)*((228 - 134 + 238)*(3*x - 2*x - 2*x) + (-1 - 2 + 4)*(-2*x + 3*x + 0*x) + (5 - 5 - 2)*(-1 + x + 1)).\nAnswer: -664*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*-6*(3 + (sqrt(1088)*2*1 - ((sqrt(1088)*2 + 0 - sqrt(1088)) + sqrt(1088)))*-6))**2.\nAnswer: 291600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*i = 2, -2*m = -i + 1 - 4. Suppose 2*q - 8 + m = 0. Let s(n) = n**2 - 3*n**2 - n**q. Let x(w) = -2*w. What is x(s(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.186 - 0.086. Suppose -7*u + 6*u = 4. Sort n, -1\/10, u in descending order.\nAnswer: n, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3192, 3197, 3216, 3255, 3320, 3417, 3552?\nAnswer: 3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.75 - 0.65. Which is the closest to 1? (a) v (b) -12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 168 = 4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1929*z - 3335. What is the units digit of c(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -1, 0.5, 0, 4 in descending order.\nAnswer: 37, 4, 0.5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110753056 to the power of 1\/4, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21 - n - 6 + 2*n. Let r be i(-11). Suppose l + 3*m = 18, r*m + m = -3*l + 38. What is the greatest common divisor of l and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = o - 324, -2*o = -u - 648. Suppose -68 = j - 2*r, 4*j + 2*r = 32 - o. Let t be 3 + 1 + 282\/j. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 1. Let s = 8187 + -8186. Let m(l) = -22*l - 26*l + 49*l. Give s*m(i) + u(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 5 - k - 3*k**2 + 6*k - 3*k - 4 as i*k**2 + w*k + v + y*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*c - 1605 = -7*c. Is 265 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/30 + l**4\/2 + 2*l**3\/3 + l**2 + 45*l. Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 2, w: 1, o: 5}. What is prob of sequence wkko?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 9)*(0*c - 7*c + c) + 17*c - 7*c - 2 - 9*c.\nAnswer: -41*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let d(p) = -3*p**3 + 3*p**2 - 3*p + 2. Calculate d(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 94919 and -9035877.\nAnswer: -8940958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225*r**3 - 65*r**2?\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 + 9*i**2 - 33*i + 97. What are the prime factors of y(-12)?\nAnswer: 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*k + 55, -5 = -2*h + h - 2*k. Suppose 8*l + 5*l - 767 = 0. Calculate the remainder when l is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**3 - 1941 + 8*f**3 + 1942.\nAnswer: 34*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 2*r, -5*y = 2*r + 3*r - 20. Suppose r = -0*m - 4*m + 452. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 245\/21 - 1\/(-3). Suppose x + 5*x = k. What is the closest to 59 in x, 1\/4, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 10) in base 11?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*b - 4, 282 = 26*y - 4*b + 105 + 133 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*n**2 - 283*n**2 - 288*n**2 - 15 - 14.\nAnswer: -n**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -554 and -213 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 + 12*q + 4. Let g be y(7). Suppose 0 = -i + 9. What is the least common multiple of (-350)\/g*(-4)\/(-14) and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -117, 5 in decreasing order.\nAnswer: 5, 2, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 + -84. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111101110 (base 2) to base 15\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9184323241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 5*y + 1. Let h be (5\/4)\/(-5)*(-792)\/33. Let r be k(h). Which is the closest to -1? (a) r (b) -1\/4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 <= -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9\/9*1\/((-9)\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 6, t: 4, q: 1, y: 6}. What is prob of picking 1 y and 1 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 4139261378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 5*c - 10*c)*(c**3 + c**3 - c**3).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/11)\/(r**(-3)\/r)*r**(-2\/17)\/r**2 assuming r is positive.\nAnswer: r**(335\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4 + 6. Let q = 0.05 - -0.85. Let b = q + y. Round b to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.8 + 35.8. Let x = 21 - a. Let c = 4 + x. What is the nearest to -0.2 in 3, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from qqzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*x**2 - x - 68 wrt x.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10791 at least 10789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -68)*(-210)\/(-4725). Suppose 5*v + 0 = 10. Factor 20\/9 + j*s**v - 44\/9*s - 4\/9*s**3.\nAnswer: -4*(s - 5)*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2. Let b = 170 + -165. What is the closest to 2 in t, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90248, -180486, -270702, -360896?\nAnswer: -451068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 218*b - 211. Determine r(-108).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + -60. Let v = -77 - u. Let y be (3 - 32\/10) + (-130)\/(-25). Solve -3*d + 0*p + v = y*p, 2*d - 5*p = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1953 and -1956 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2834601026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2225.52 * 14.7\nAnswer: -32715.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 123 - 65 - (-1 + 4). What is the greatest common factor of o and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - m + 2*m + (2 - 2 + 1)*(3*m + 2*m - 3*m) + (-1 - m + 1)*(-5 - 1 + 5) + 21*m + 58*m + 77*m - 18*m.\nAnswer: 145*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -24. Let u(x) = x**3 - 17*x**2 + 42*x + 4. Let s be u(14). What is the remainder when a is divided by s - ((-10)\/2)\/(-24 + 25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177418650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31*(-60)\/(-7440)*44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2067 + 817. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*t**3*x**2 - 617398*t**3*x + 94521*t**2*x**2 + 2268*t*x**2 wrt t?\nAnswer: -852*x**2 - 3704388*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 - 8*s. Let h be c(8). Let g be (5 + h + -4)*-1. Let w(p) = 2*p**3 - p**2 - p - 1. What is w(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/2, 4, 9.1 in decreasing order.\nAnswer: 9.1, 4, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6137 - 7?\nAnswer: -6143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49 + 47*s**3 - 15*s**3 - 24*s**3 - 18*s**3 + 2*s**2 - 2*s**4 wrt s.\nAnswer: -48*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 324, 699, 1366, 2355, 3696, 5419?\n\"Answer: 5*n**3 + 116*n**2 - 8*n + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 948\/473 - (0 + 2). Let j = -56327\/9460 + l. Let s = -1625\/2 - -831. Find the common denominator of j and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 7*x**2)*(-10*x + 1535 - 1535 + (1 - 1 - 3*x)*(5 + 6 - 6)) as d*x + l*x**3 + f + i*x**2 and give l.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251207.1 centuries to decades.\nAnswer: 2512071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 225, 500, 873, 1338, 1889, 2520?\n\"Answer: -z**3 + 58*z**2 + 4*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22159573483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2)*g*g)\/(g**3\/g*g))\/(((g**9*g)\/g)\/(g*g\/g**(-12))) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 834739.7 tonnes in milligrams?\nAnswer: 834739700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 4)*(k - 4*k + 4*k)*(k**4 - 2*k**4 - k**4).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3067038?\nAnswer: -2\/1533519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -2*d. Let g = d + -3. Let k be (-21)\/(-140)*-4*-10. Solve -k = 2*l + f, -g*f - 8 = -f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 6*o**2 + 6*o + 6. Let b = -18 + 11. Let k(w) = -2*w**2 - 13*w + 6. Let x be k(b). Let j(c) = c**3 + c**2 + c + 1. What is x*i(y) + 6*j(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158383129 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -1179*r + 1162*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1407, 1, -2 in descending order.\nAnswer: 1407, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89004285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 - 2*s**4 + 3*s**3 - s**2 + 4*s**2 - s + 182 to i*s + x*s**4 + v*s**3 + h*s**2 + q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 1. Let p be l(1). Let k be (-8)\/(-16) - (-6)\/(-4). Let b = k + 19. What is the greatest common factor of p and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55 - 1) + (-10)\/5. Calculate the remainder when 25 is divided by ((-2)\/(-4))\/(2\/h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d - 93 = -3*u, 3*d - 124 = -4*u. What is the greatest common divisor of u and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (2 + -3)) + 4 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2. Let w(f) be the first derivative of 0*f - 9 - 1\/2*f**2. Calculate w(o(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 9, -4, -2.\nAnswer: -4, -2, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.4, -18\/611, -4, -3, -0.01?\nAnswer: -18\/611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let i = p - 2. Suppose -3*z + 4*u + 2220020 = i, -4*z + 1181045 + 1778970 = -3*u. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/31 <= -2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.86 and 0.5.\nAnswer: 13.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25081178?\nAnswer: 2, 19, 23, 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 316. Suppose 110 + k = 4*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2735271 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**4 + 102*w**3 - 384*w**2 + 196*w. Let l(d) = -d**4 + 51*d**3 - 192*d**2 + 80*d. Let x(s) = 5*l(s) - 3*r(s). Factor x(q).\nAnswer: q*(q - 47)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16450\/6347 + 1\/1154. Calculate the common denominator of -47\/6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 743?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by -66\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:27 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*f - 14 = -0*f, -15 = 5*f. Suppose -11 = -q*c + 13. Calculate the highest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 - 32\/(-10). Let j(u) = u**q + 2*u - u + 1 + u**2 + 4. Let x be j(0). Solve -x*b = 3*p - 15, 5*p = -4*b + 3*p + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*y + 279*y - m + 1475 = 0, 5*y = -2*m + 2460. Let g(n) = -n**3 + 6*n**2 - 2*n - 2. Let k be g(2). What is the highest common divisor of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729786549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/83, -4, -0.5, -0.255, 55?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*2*5*(1 + sqrt(76))*2)**2*4.\nAnswer: 160000*sqrt(19) + 3080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = -9. What is the greatest common divisor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -322*t**3 + 9*t**2 + 35829.\nAnswer: -966*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737*y = -749*y + 876. What is the remainder when 556 is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 - 15 - (-52)\/(-14). What is the closest to m in -0.4, -5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 73 - 25 = 0. Suppose -3*p + 45 = -8*p. Let c = p - b. Solve 0*y + 3*y = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-50)\/1)\/(8\/(-84) - 0). Suppose -240 = -5*v - 2*f + 1100, 2*v - y = -3*f. Let b = v + -77. What are the prime factors of b?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235818 take away -7768?\nAnswer: -228050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.00000025 + -7. Round j to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 + 5 = -5*o, 0 = 3*y + 4*o + 20. Let i be y\/((3 - -2) + -1). Solve 3*k - 1 - 14 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14976 and 457587.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*(-38)\/(-57)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2195, 2197, 2199, 2201, 2203, 2205?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + p - 7 = 0. What is the hundreds digit of 209*(5 + -4 + 0) + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 958601439 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1b370 (base 14) to base 9\nAnswer: 115034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5623 - -5696. What is the lowest common multiple of y and 1095?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 4*s - 2. Let x be i(-4). Let b(a) = 10*a - 56. Let f be b(6). Put x, f, 0 in increasing order.\nAnswer: x, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from iaiiiaiiiia?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 422 - 419. Let y(f) = -f**2 - 8*f + 6. Calculate the remainder when y(-7) is divided by p*5\/(-10)*(-28)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885601 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -25*p + 612. Calculate the remainder when 375 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from pwwp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 478769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 4271295.\nAnswer: 21356475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5084\/(-287) + 22)\/(-5*(-1)\/42)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 21*s - 22. Let i(q) = 7*q - 6. Let n(t) = 7*i(t) - 2*k(t). Let y(m) = -6*m - 1. Give 4*n(f) + 5*y(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, f: 4}. Give prob of picking 3 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from llllltltllzllh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let c be (-392)\/(-63) + 2\/(-9). Let q be x(c). Suppose 10 = 2*n - q*j - 72, -39 = -n + 3*j. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92, 32, -26, -82, -136, -188, -238?\n\"Answer: o**2 - 63*o + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 5. Let m be i(-3). Let l(j) = j**2 + 4*j - 24. Let s be l(4). Let z be (8\/s)\/(-1)*-4. Solve -m*t + 4 + z = 0, -3*n + t - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 7*s - 6. Let b be t(-7). Let q be -4 + (-3 + 3 - b). Suppose 25*x + 20*x**2 - 2 - 1 + q + 6 = 0. Calculate x.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:55 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + z + 18732 = 0, -w + 8*z = 5*z - 6228. What are the prime factors of w?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -155, -329, -575?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4750095 and 34\/221445.\nAnswer: 527260545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14 + 18*k**2 - 67*k + 82*k - 11. Is m(4) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36704394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -12300 (b) 29 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/14 - h**6\/12 - 4*h**5\/3 - 35*h**4\/12 - 5*h**3\/2 + 12*h**2 - 5. Find n, given that m(n) = 0.\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1755\/325)\/((-68)\/70 - -1). Let q = -5860\/31 + p. Which is the biggest value? (a) 1 (b) 1\/4 (c) -1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let y be h(7). Let v = y + 28. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3726 - -630. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*d - 36, -47*b + 96*b - 47*b + 13 = -d + 37 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3\/((-3)\/17). Let z(a) = 0*a + 27*a - 16 - 17*a**2 - 50*a - a**3. Let q be z(t). Calculate the greatest common divisor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*p**3 - 3*p**2 - 3*p + 199.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 7 = -4*g - 2*r + 57, -32*r + 1288 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/3 (c) -2148.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13*v**2 - 11*v - 4. Let l(f) = -5*f - 2 + 5*f - 9*f**2 - 5*f + 3*f**2. Suppose -9 = -3*w + 4*w. What is w*l(s) + 4*o(s)?\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 100 + 83 = -v, 0 = 2*v + 2*t + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 17*f**3 - 14*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlnrt. Give prob of picking 1 t, 1 r, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173297420.\nAnswer: 2, 5, 7, 977, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -20, -h = -4*t + 3*h + 40 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 747993 (base 13) to base 16\nAnswer: 29a94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54539695 divided by 6665\nAnswer: 8183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/120 - f**5\/10 + f**4\/24 + f**3\/2 + f**2. Let s be (-1)\/(-2) - (-11)\/(-2). Let g = s + -1. What is w(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 2399*j**3 + 583*j**3 + 724*j**3 - 2*j + 336*j**3.\nAnswer: -756*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44278 + 73388. List the prime factors of d.\nAnswer: 2, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0.34. Let i = 312.17 + -312.67. Which is the third smallest value? (a) i (b) 13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*j - 9*j. Let h(u) = 4*u + 8. Let o(p) = p**2. Let s(d) = j*o(d) + h(d). Factor s(n).\nAnswer: -4*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**3 + 6*y**2 - 15*y - 6. Let n(b) = 6*b**3 + 5*b**2 - 14*b - 5. Let d(u) = -6*n(u) + 5*v(u). What is the second derivative of d(z) wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.1. Let w = 23 - 38. Let f = -14.7 - w. Put f, v, 3 in decreasing order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 0.652, 2, -4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*m**3*q**2 + 2*m**3*q + 669*m**2*q + q**2 wrt q.\nAnswer: 470*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = 61. Suppose y*f - 37*f = -712. What are the prime factors of f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 20. Suppose 3*t + 2*y - k = 0, 0*t - 16 = -2*t + y. Suppose t*b + 26 = 19*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 11*s = 6*s - 963615, -3*l + 289081 = 2*s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001 (base 2) to base 7.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 453*z + 7. Let l(q) = -1813*q - 31. Give -2*l(r) - 9*o(r).\nAnswer: -451*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*j - 0 - 10, 0 = 2*x - 6. Suppose 2 = j*l - 4. Let a be -1*l*(-1)\/1. Solve 4*b + 5*w + 8 = 0, -w + 5*w = a*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + sqrt(5) + 2*sqrt(720) + sqrt(5)))**2 + (sqrt(30) - sqrt(480))\/sqrt(6).\nAnswer: -3*sqrt(5) + 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23067234*t**5 - 5722507*t.\nAnswer: 461344680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 4*c. Let y be (-2 + 4)\/((-4)\/(-6)). What is the third derivative of -f + 0*f**2 - 2*f**y + f + 3*f**c wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20 + 2 - 6*y + 9 - y**2 + 8. Calculate the lowest common multiple of r(-3) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -1237?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 635612917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j - 127*j = -119952. Calculate the highest common divisor of 414 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41772 and 9852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 5. Let o(y) = y**2 - 1. Let m(t) = -7*t**2 + 1. Let h(k) = m(k) + 5*o(k). Determine 5*h(f) - 4*p(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1105, 0, 2\/5, -0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78616029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784 and 104734?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21144\/(-30)*15\/(-18)*3 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9.\nAnswer: -d**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 5*r + 9. Let s(f) be the third derivative of 2\/3*f**3 - 1\/12*f**4 + 0*f + 0 - 1\/120*f**6 - 9*f**2 + 0*f**5. Determine 3*p(o) - 7*s(o).\nAnswer: -2*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1 (c) -8\/3 (d) 24\/17 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/((2 - 2) + -2). Let s(m) = -m + 5. Let d(i) = 6. Let z(n) = -329*n + 15458. Let x be z(47). Give x*s(r) + y*d(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -22. Differentiate 11*b**3 + 16 + b**t + 14 - 12 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -7*v**6\/1440 - v**5\/96 + v**4\/48 - 14*v**3\/3 + 23. Let m(a) be the third derivative of r(a). Let m(p) = 0. What is p?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -1. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + 50\/8)*4 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 9*w + 43, g - 4*w + 2 = -6*w. Suppose g*n = -s + 18, 2*s - 26 = -s - 5*n. Solve -s*m + 4*t = -0*t + 12, -m - t = -9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.285 + -0.682. Let n = 14.603 - s. Sort 4, n, -1, 0.5 in decreasing order.\nAnswer: n, 4, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, 2, 1, 4, -51.\nAnswer: -51, -22, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 1. Let q be l(4). Suppose 4 = -q*p + 7*p. Suppose -t + 48 = p*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) -3\/2 (c) -0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284577.\nAnswer: 3, 29, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 2, u: 1, m: 1}. Give prob of picking 1 m and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -312, -1\/2, 5, -3.27?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147) - (1 + sqrt(147))*1 - (sqrt(147) + -1 + 1 + sqrt(147) - sqrt(147))) + 2*-1*sqrt(147)*3)**2.\nAnswer: -196*sqrt(3) + 7207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 28 - -48) + (5 - 18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(36)\/sqrt(4)*3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = -6*w. Let i = -0.169 - -0.001. Let p = i + -0.032. Which is the second biggest value? (a) w (b) -5 (c) p (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691960.8 months to centuries.\nAnswer: 576.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 203*k**2 + 4*k + 4. List the prime factors of q(-1).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3450769 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or 1828\/33?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 152990, 153012, 153034, 153056, 153078?\n\"Answer: 22*q + 152968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, e: 3}. Give prob of sequence ee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*j = -2 + 10, 5*j = -2*z + 18. Let g be z + (-2)\/(-6)*3. Let o(r) = -g + 2*r**2 - r - 3*r**2 + 0*r. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -28947*k + 115800. Determine z(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2. Suppose -3*b + 4 = -11. Suppose 6 = b*p - 4. Let t(i) = -4*i**p - 2*i**2 + 4*i**2. Give t(q(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.323 + 3.07. Round f to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 159916 + 50729 = 0. Suppose -z = -3*r - 3*l + 5*l, 4*r = l + 31205. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*v = 5*r - 16, -3*v = -r + 8. Let m = -2.8 - -2.7. What is the third biggest value in 2\/9, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-5590)\/(-156) + 0 + 82\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let m(s) be the first derivative of 30*s**2 + 22*s - 400. What are the prime factors of m(b)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3 - 3)*(n - n - n**3) + (3*n - 5*n + 3*n)*(-2*n**3 + 7*n**3 - 2*n**3).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92378 is divided by 30736?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33924 and 54741.\nAnswer: 2408604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -53. What is the biggest value in 0, -2\/11, 1\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/7 - 4\/7. Let k = 5\/84 + 3\/28. Let h = 2685 - 2684.5. Which is the closest to p? (a) -2 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 53 = -133. Let m = 145 - p. Let c = -16 + m. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 2*i + 2. Let n(a) = -2*a + 1. Suppose c = -s - 5, 2 - 3 = -3*s + c. Let v be n(s). Let d(b) = 2*b**2 - 2*b - 2. What is v*d(l) + 4*m(l)?\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -0.4, -1, -3, 12931, 0.5.\nAnswer: -3, -1, -0.4, 0.5, 1.3, 12931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/6 + 7*l**2\/2 - 39*l. Let k(g) = g - 6. Calculate 5*k(x) + 4*t(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5*n - 5 - 0, -4*h = -3*n + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -25. Let x(d) = d**3 + 7*d**2 + 3*d - 7. What is the smallest common multiple of x(f) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 545 and -0.3.\nAnswer: -163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 67. Let q be b(-35). Let l = -15787\/13 - -1215. Factor 8\/13*z - l + 10\/13*z**q + 2*z**2.\nAnswer: 2*(z + 1)*(z + 2)*(5*z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 25*z - 44. What is the remainder when f(18) is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldxxlddcldlxxxxdd. Give prob of picking 3 d and 1 l.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32712 divided by -58\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-81)*1\/4)\/((-21)\/9)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833)*1*-3*-2 + -1 + (2*sqrt(833) + 5 - (sqrt(833) - (1 + sqrt(833) + -2)))*-1))**2.\nAnswer: -4480*sqrt(17) + 213648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -10\/443, 3, -3\/11.\nAnswer: -3, -2, -3\/11, -10\/443, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 97. Let l be (-5 + (-5 - h))\/(-2). Suppose -4*i + 612 = 5*w, -640 = -4*i + 5*w - l*w. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9663, -19324, -28985, -38646?\nAnswer: -48307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17473358 divided by 371\nAnswer: 47098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28584 is divided by 654.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7387 - 37.5.\nAnswer: -32.7613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/54*9 + (-7)\/(-2). Let z(l) = l - 1 - 7*l**k - 2*l + 0*l + 8*l**2. Determine z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + 1)\/(-4) - 1. Let o be 0\/(-1 - 0) + 3. Let l(n) = n**2 - 6*n + 4. Let y be l(o). Sort r, y, 4 in descending order.\nAnswer: 4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*u + 1210*u - 490*u + 1366*u to the form o + q*u and give q.\nAnswer: 1854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 274 = 94. Let q(n) = 5*n**2 + 2*n + 9. Let m be q(-3). Calculate the greatest common divisor of j and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 35 = 3*v. Sort -13, v, -2 in decreasing order.\nAnswer: -2, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 5171447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*z = 17 - 1, o + 4736*z = 4741*z + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 3 + (5 - 1 - 2)*(0 - 3 + 5))*(-3 + d + 3).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.211 - -28.211. Sort 0, -1, 2\/21, z in descending order.\nAnswer: z, 2\/21, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10974 + 29203. What are the prime factors of m?\nAnswer: 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3 - 7 - -3) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 0*i - 49*i + 4*i**2 - 3*i**2 to the form b*i**2 + z + u*i and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 37 + 15)*(0 + 0 - 12*n) to f + v*n and give v.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129 and 33?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206967 + 290665. Suppose -26*v + 267752 = r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-50))\/(2\/(-195)). Let y(a) = -a**2 + 8*a + 183. Let b be y(15). Let f = x - b. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.84 + 15.84. Which is the second smallest value? (a) n (b) -0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-140)\/128) + 6\/(-10). Let u be 2*(0 - 2 - i). List the prime factors of (-708)\/30*u\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114, -457, -1044, -1875, -2950, -4269?\n\"Answer: -122*l**2 + 23*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 19 + 10 + 13 - 1302*i.\nAnswer: -1302*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14405 - -14384. Let l(o) = o - 4. Let v be l(7). Sort v, -2\/25, x in decreasing order.\nAnswer: v, -2\/25, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1002 and 668.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 313797 - 126774097\/404. Let p = -2\/101 - y. What is n in 0*n - 1\/4*n**2 + 1\/2*n**3 + 0 - p*n**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8787\/5 - 3084212\/1755. What is the common denominator of u and 89\/108?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:05 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4494 (b) 5 (c) 4 (d) 2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0*b*b)\/b*b**(-2))**(-1\/10)*(b\/(b*b*b\/(b\/(b*b**1))))**24\/(b**(-1))**(9\/2) assuming b is positive.\nAnswer: b**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 42565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1496, -0.5, 0.054, 3?\nAnswer: 1496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35*(-6)\/(-4)*(-1640)\/(-615)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehvwzhvhuhhevvhwu. What is prob of sequence whze?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18304*d - 18301*d - 4*i - 121 = 0, 5*i + 162 = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/60)\/(-9)*18?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3475*a*b**3 - a*b**2*v - 2*a*b*v - a*b + a*c - 240*b**3*c*v + 26*b**2*c*v + 83*b**2*c wrt b?\nAnswer: -20850*a - 1440*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 16 = -5*c - 4, -3*c = -t + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s**2 - 22*s**2 + 39*s**2 + s**3 - 34 + 35. Let b(d) = -28*d**3 - 32*d**2 - 32. Give -3*b(f) - 96*j(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2163, -2084, -1841, -1344, -503, 772, 2571?\n\"Answer: 15*a**3 - 8*a**2 - 2*a - 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/5, 1.5858, -1\/3 in descending order.\nAnswer: 1.5858, 1, 4\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 108 - 0. Let f = 5 - 2. Solve -5*k - 2*v - 5 = 0, -k - f*k + 3*v - y = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1331) + -1 + sqrt(1331) + -1 + sqrt(1331) + sqrt(1331).\nAnswer: -1 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i + 0 + 0)*(2 - 2 + i**3 + (i**2 - i**2 + 2*i**3)*(3 + 2 - 3) - 4 - 2*i**3 + 4).\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 plus -3763746293?\nAnswer: -3763746289.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*56792\/(-8015)*(-1)\/2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 810*i - 810*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 8*c + 7*c + 2*c + 8, 3*c = -o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2653 - -15769\/6. Let u = -71\/2 - -86. Calculate the common denominator of h and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2. Let l(a) be the third derivative of -a**4\/12 - a**2. What is d(l(o))?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365555710.\nAnswer: 2, 5, 13, 281, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.4 (b) -2\/13 (c) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25 and -69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/12 - 120*f. Let j(a) be the third derivative of -a**4\/4 - a**2. Determine j(n(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55014101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -124.2. What is r rounded to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 55*t - 608. Give g(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 38. Let y be v(19). Let m(l) be the second derivative of 0*l**2 - 1\/18*l**4 - l + y - 1\/9*l**3. Factor m(n).\nAnswer: -2*n*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11648 divided by -7.\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6\/7 (b) 705 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-777*100\/(-210))\/(-10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 9) + 2 + 0 + -4 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/488 and -13\/567056?\nAnswer: 567056","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 26\/(-3))\/((-11)\/(-33)). What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732363397 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 14. Let r be o(7). Let d(w) = -2*w + 10. Determine d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 21. Let v be w(-10). Let s(j) = -j**2 + j - 1. Let y(k) = -5*k**2 + 4*k - 3. What is v*y(h) - 4*s(h)?\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (20\/(-4))\/(3\/(-6)) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -117, -179, -241, -303, -365?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 16 = -4*v, 5*x + v + 612 - 574 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.26 and 32999206.32.\nAnswer: 32999206.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/(b\/b**(-24)))\/(b**11\/((b\/b**43)\/b)))**(-8) assuming b is positive.\nAnswer: b**592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.594449 to 1 dp.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, -143 in descending order.\nAnswer: 3\/8, -5, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3941 - 19969046\/5067. Does 1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.299775 minutes to hours.\nAnswer: 0.40499625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 50. Let k be 4\/(-6)*(13 + i). Which is bigger: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:32 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 6 - 12936561*l**2.\nAnswer: -12936561*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91404, 182804, 274212, 365634, 457076, 548544?\nAnswer: 640044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*s + g - 7, 2*s + 11 = g. Let b(n) = 2*n**2 + 10*n - 2. List the prime factors of b(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 5*f + 2*h, 3*f - 11*h + 7*h + 1 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2. Let y be (-360)\/(-1080) - 3\/((-9)\/(-10)). What is f(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074000 rounded to the nearest ten thousand?\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1.45361?\nAnswer: -3.54639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1\/(-23))*-3241. Let y be (-72)\/180 - 2828\/(-20). Let j = n - y. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:24 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:59 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 1530*z**4 + 64*z + 1285*z**3 + 676*z**5 + 806*z**4 - 1271*z**4 + 6875*z**3 + 2999*z**4 + 5504*z**2 = 0.\nAnswer: -2, -2\/169, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**10)**(-15)\/(g*g\/g**(-11)*g*g*g**(-4\/7)))**(-24) assuming g is positive.\nAnswer: g**(27624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 163, 182, 219, 280, 371, 498?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -1, 5, -119?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13)*q**15*(q**(2\/53)\/q*q*q*q)\/((q**(4\/7)*q)\/q*q) assuming q is positive.\nAnswer: q**(915\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3734843\nAnswer: 2\/3734843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Suppose 16*z - a*z - 400 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 5*l + 150 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 10 = -5*c, -35*w = -4*c - 37*w + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -1. Let f = 11 - v. Let r be 10\/45 + f\/(-18). Solve r*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 589, 893, 1215, 1561, 1937, 2349, 2803?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72))\/(sqrt(6) + sqrt(12)\/sqrt(2)*-5).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 3)*1*-19. Let n(d) = 91*d - d**3 - 262*d + 88*d - 30 + 19*d**2 + 90*d. What is the units digit of n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.253 - -0.047. Let q = -1.4 + k. Let j = 0.4 - q. Which is the second biggest value? (a) 0.4 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -845, -1641, -2437, -3233?\nAnswer: -4029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771921788?\nAnswer: 2, 11, 17, 1031981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = 12*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20203013 + 0?\nAnswer: -20203013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 110101001001?\nAnswer: -110101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136366 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((1*sqrt(700) - sqrt(7) - 2*sqrt(28)\/sqrt(4)) + 5)*-3 + -2)**2.\nAnswer: 714*sqrt(7) + 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 991 = -5*w + 3*n, -2*w + 509 = 3*n. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 9) in base 11?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*m**2*t**2 + 257*m**2 + 4*m*t**4 - 2*m*t**2 wrt t.\nAnswer: -28*m**2*t + 16*m*t**3 - 4*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 - (-63 - (7 - (-52 + 95))).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:58 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 2*h + 16. Calculate the remainder when g(0) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20) + 116*(-8)\/(-1440)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 38\/45*l**3 + 0*l - 65 - 3\/5*l**2 - 11\/30*l**4 + 2\/75*l**5. What is k in y(k) = 0?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8686 + 0.1\nAnswer: 1.9686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 562 = -218. Which is smaller: g or -129?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -34*w + 27. Let q be v(28). Is q at most as big as -925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -126. Let h = -0.2 - -73.2. Let t = -69 + h. What is the third biggest value in g, t, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9996 and 433748?\nAnswer: 22121148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. What is the lowest common multiple of d and (-437)\/(-76)*(0 - -4)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/5 - 346*x**3\/5 - 20178*x**2\/5 - 409374*x\/5 - 740772\/5.\nAnswer: -2*(x + 2)*(x + 57)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2162140 (base 7) to base 16\nAnswer: 4140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -6 - -8 - -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-20))\/(9\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, t: 4}. What is prob of picking 1 t and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001628 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(70\/7) + 5*1. Let g be ((-8)\/(-6))\/(((-2)\/q)\/1). Suppose -5*n + 1 = 16. Sort n, -1, g.\nAnswer: n, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-272620\nAnswer: -109048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggag when four letters picked without replacement from {g: 10, a: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2 and -14\/29?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:18 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037588.\nAnswer: 2, 3, 7, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 7*y + 1\/180*y**6 - 5\/6*y**3 + 0 - 1\/30*y**5 + 0*y**4 + 0*y**2. Let q(w) be the second derivative of z(w). Solve q(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6902754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9, -19, 4\/5, 0.04?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2773*z + 4*g + 25 = 2774*z, 0 = -5*z - 2*g + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-12))\/((-6)\/(-4)). Let l(f) be the second derivative of u*f**3 - f**2 - 2*f + 0. Give l(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -314*l. Let h(j) = j - 7. Calculate h(u(v)).\nAnswer: -314*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/(-40) + (-8)\/(-1) - -5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449.2 rounded to the nearest ten?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, 55 in increasing order.\nAnswer: -4, 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((5 + 1130)\/(-5))\/(((-4)\/4)\/2). Let f(h) = -10*h**3 - 5*h**2 - 2*h. Let y be f(-3). Let b = o - y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*(o\/(o*o*(o*o**(2\/57))\/o*o))\/o*o))\/o*o**(-2\/45)*(o*o\/(o**(3\/5)\/o))**(-2\/137) assuming o is positive.\nAnswer: o**(-24467\/23427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3325)\/(-114))\/(-25)*6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 479076607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1 (c) 0.168 (d) -3\/2 (e) -26 (f) -5 (g) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36732*m + 1664 = -36724*m. Calculate the least common multiple of m and 40.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11104 is divided by 146.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2356.86 to the nearest 10.\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 123*l + 821. Calculate m(-54).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -85. What is the third derivative of 25*q**2 - 18 + 56*q**4 - v + 37 wrt q?\nAnswer: 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-2)*12\/9. Let q = -161 - -203. Let f = q + a. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -874 or -871?\nAnswer: -874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1347241, 2694628, 4042013, 5389396, 6736777?\n\"Answer: -f**2 + 1347390*f - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - 5*c**2 - 17*c + 7. Let s(t) = -8*t**3 + 16*t**2 + 50*t - 21. Let g(o) = -11*l(o) - 4*s(o). Let u be g(-7). Factor 1\/4*m**2 + 1\/2*m + u.\nAnswer: m*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.92. Let x = n + -0.0789. Round x to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46791712 is divided by 1029.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-4))\/(5\/(-9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/189 - h**6\/135 - 4*h**5\/45 + 2*h**4\/9 + 3*h - 5. Factor u(z).\nAnswer: 2*z**2*(z - 2)**2*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/12*4\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Suppose 3*j = 5*n - 61, -29 = 4*j + 4*n - 1. Let u be x\/(-2) - 18\/j. Solve 3*l + 8 = u*m, 5*m - l + 6 = 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/13 - 30*t\/13 - 1188\/13 = 0. Calculate t.\nAnswer: -18, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 3\/8 (c) 0.4 (d) 1\/3 (e) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:57 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 11, -34, 38, -1\/6, 4 in descending order.\nAnswer: 38, 11, 4, -1\/6, -0.2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625.46 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Determine t, given that 3*t**3 + t**4 + 0*t**4 + 3*t**5 + k*t**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 19297*r - 3222595. What is a(167)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, -5\/48, -0.6, 24, -4?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -618\/5 - -14657\/120. What is the common denominator of u and 46\/55?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-42))\/(27\/(-63)). What is the closest to 0.5 in 2\/3, 6, w, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -31*u**2 - 7*u + 7. Let r(j) = 9*j**2 + 2*j - 2. Let c(s) = -7*r(s) - 2*x(s). Let i(w) = 15*w**2 - 9*w. Give c(i(t)).\nAnswer: -225*t**4 + 270*t**3 - 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -67*y**4 - 5*y**3 + 15*y - 114. Let i(a) = -100*a**4 - 8*a**3 + 24*a - 171. Let v(t) = -8*h(t) + 5*i(t). Differentiate v(n) wrt n.\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j**(-5\/6)\/j*j**(2\/5)\/j**7 assuming j is positive.\nAnswer: j**(-703\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x + 12. Let h(o) = 7*o**2 - 1. Suppose 2*j - 3*j = -5. Let c(v) = -7*v**2. Let y(z) = j*c(z) + x*h(z). Differentiate y(p) wrt p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**3 - 82918*k**2 - 143313368*k - 262462552.\nAnswer: -2*(k + 3454)**2*(6*k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1911 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + (1 - 2))\/1. Solve 0 = -t*f + 4*r + 28, 3*f + 5*r = -1 - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162110000 rounded to the nearest 1000000?\nAnswer: 162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 120*y - 1265. What are the prime factors of j(64)?\nAnswer: 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486625 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 507 = -5*x - 1893, 16 = 4*x. Calculate the common denominator of n\/(-198) + 2\/(-6) and 13\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4990 - 2848. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 3*x**2 - 3*x**2)*(0*x**2 + 7*x**2 + 2*x**2) + (-2*x**4 + 3*x**4 + x**4)*(2 - 5 - 1) + (-3*x**3 + 5*x**3 - x**3)*(-x - 4 + 4).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1155 and -133\/8850.\nAnswer: 681450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 14 - 4) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20 + 1173\/(-230).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 10 + -9 + (5 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t - 22 = -3*s - 84*t, 0 = 4*s - 2*t - 46 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from jfffpepfppfpffffpp?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -297309570 to the nearest 10000.\nAnswer: -297310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -t = z*t - 12. What is the lowest common multiple of 7 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169515.\nAnswer: 3, 5, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301099 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24179.9 - 24180. Which is the third biggest value? (a) 1\/5 (b) -3 (c) w (d) 5\/2 (e) 245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-25))\/((108\/10)\/(-9)))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f**2 - 1877*f + 1877*f)*(-2*f - 3 + 3).\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37573 - 22509. What are the prime factors of n?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 72?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -862 - -867.76. Let a = r - 5.759999232. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1122 and 101184?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/17)*j*j*j**(2\/5)\/j)**(5\/3) assuming j is positive.\nAnswer: j**(194\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -18 + 2, 17 = -h + 5*p. Suppose h*g = 16 + 59. Let m = -47 - -50. Solve 5*l + 15 = 5*c, 2*c = -3*c - m*l - g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2760 - -2760. Let m(c) be the second derivative of 20*c - 10\/3*c**3 + v - 7\/2*c**2. Differentiate m(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6644 - -6646. Solve -5*p + 24 = -w*x, x - 5*p + 2*p + 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 1037*i**2 - 181663*i - 10536048. Let g(m) = m**3 + 518*m**2 + 90832*m + 5268024. Let s(x) = -7*g(x) - 4*v(x). Find t such that s(t) = 0.\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-8)))\/l*l\/((l**(1\/9)*l)\/l)*((l**(3\/4)*l)\/l)\/((l*l*(l*l*l**5*l)\/l*l)\/l))**(1\/11) assuming l is positive.\nAnswer: l**(-13\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:33 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 1 x when three letters picked without replacement from {x: 3, h: 1, z: 2, e: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 6.34?\nAnswer: 7.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 10) to base 11\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/36 + -8\/45. Let r(j) be the third derivative of 0*j - w*j**5 - 2*j**2 - 1\/6*j**3 + 0 - 1\/12*j**4. Let r(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424398199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19708937 divided by 1\nAnswer: 19708937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m - 44*m = -87*m + 56*m - 585 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4208 - -4184) + -2 + 1 + 1 + -9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76 - -28?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:16 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(-8 + (-660)\/(-100))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 223*f**2. Let g(j) = 2*j**2. Calculate r(g(u)).\nAnswer: 892*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 241. Let z = -114 - f. Is -2\/15 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 2126960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*k - 5*c, 3*c + 5 = k - 6*k. Suppose 1 = 4*f + 5*s + k, 40 = 5*f - 2*s. Calculate the smallest common multiple of f and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnzntnntntntn. Give prob of picking 1 z and 1 n.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*l - 29, -4*d + 5*l - 2 = -18. What is the lowest common multiple of d and 1791?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 371, 901, 1849, 3353?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -419, -516, -613, -710, -807?\n\"Answer: -97*w - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + -5*(2 + sqrt(3)))**2.\nAnswer: -888 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*j - 341*j = -4*c - 4, -3*j - c = 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + 40\/7. Let o = 13 - n. Suppose v - 4*w = -6*w + 24, 3*v = w + 37. What is the highest common divisor of o and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -x - c - 1, c + 7 = 5*x. Suppose x*s = -3*a + 26, 11 = 7*a - 4*a + 5*s. Is a at least 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 + -80.8991.\nAnswer: -79.4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = 4*o. Suppose 0 = o*k + 4 - 0. Let p be 10\/k*4\/(-8). Sort p, 2, -3 in ascending order.\nAnswer: -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 583248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 - -1 - (2249 - 2231)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*d - 22 = 0, 4*d - 6*d - 13 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29173791385903638\/209346967122671399 + 40\/382636094349. Let k = -2\/120099 - o. Let z = k - 6\/41. Which is the nearest to -1\/2? (a) 1 (b) 1\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 + 328.487. Let z = -0.48477 + x. Round z to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 15 = -5*w, -r - 6 = -4*w + 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1, -0.2, -0.07, 68, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/8 + 11*o**3\/6 - 2*o**2 - 1066*o. Give d(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(3 - -7 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1030\/19 + -26959\/532. Find the common denominator of -101\/22 and z.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32681 is divided by 16324.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 198*-0.4\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 0. Suppose -5*c - w - 2 = r, -4*c + 5*w = w - 8. Let p be 108\/8*(5\/3 + -1). Solve 4*l - p*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124, -534, -1216, -2170, -3396, -4894, -6664?\n\"Answer: -136*l**2 - 2*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-1062)\/(-15))\/((-3)\/5). Let f = p + 120. Which is the nearest to 0? (a) 4\/9 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857.\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 - -330.4. Let t = -79 + 35. Let w = r + t. Round w to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*k = 2275 + 1149 - 148 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1411 and 0.07?\nAnswer: 98.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 283279634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -244*k**2 + 245*k**2 + 431 + 141 + 62*k. Calculate r(-51).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3525, 3528, 3531?\nAnswer: 3534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**3 + t**2 + 2*t + 1. Suppose -2*v - 2*b + 4*b = 12, -2*b = 3*v - 7. Let y be a(v). List the prime factors of (105\/y)\/(-5)*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/6)\/(4\/762). Let n be (-6)\/(-27) - k\/36. What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -76712 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0035*474846.\nAnswer: 1661.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let f be (-50)\/(-125) - (-43)\/5. Suppose -f = -4*k + y, 0*k + 5*y = -2*k + 21. Solve -2*h + g = -k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12232720 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: Sort 5, -4, 2321, 333 in increasing order.\nAnswer: -4, 5, 333, 2321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.711 * -0.1.\nAnswer: -6.5711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419138003213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 6. Suppose 5*z = k + 11, -2*k - 5*z + a = -15. Solve -h - 3*h = -k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14605638, 29211273, 43816908, 58422543?\nAnswer: 73028178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 - 2*j**3 + 2*j**3)*(-4*j - j + 0*j + (j + 0*j - 2*j)*(-4 + 4 + 2)) in the form r*j + z*j**2 + b*j**4 + f*j**3 + w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 381490723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 24*j**2 + 12. What is the lowest common multiple of 24 and b(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*-18*(-1)\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -402, -398, -394, -390, -386, -382?\n\"Answer: 4*d - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 215, -3, -2, -0.29, 4, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2850 divided by 1951.\nAnswer: 2850\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.879103 and 201.\nAnswer: 200.120897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 6*g + 1. Let m be z(5). Suppose 0 = v - m. Find i, given that -i**5 - 7*i**5 + v*i**4 + 34*i**3 + 8 - 38*i**2 + 2*i**5 - 4*i**5 = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74.68907 - 0.31093. What is the nearest to 1 in -0.5, g, -2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {t: 1, y: 2, g: 1, f: 1, k: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/94 - 8\/(-54)*3534\/(-304).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxona. Give prob of sequence nagx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2 - 27. Let w(z) = -7*z. What is w(l(m))?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, d: 2, g: 3}. Give prob of sequence gllg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618 by 2.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.096 + 0.068845.\nAnswer: 0.164845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10586 + -7274. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2810 - -527. List the prime factors of r.\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215*y**2 + 12249485*y - 12249700.\nAnswer: 5*(y - 1)*(43*y + 2449940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((-1*sqrt(176) + sqrt(11))**2 - (sqrt(704)*-3 - sqrt(11))**2)).\nAnswer: -33870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -4171.141.\nAnswer: 75080.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2 - (2 + 1)). Suppose 4*m + 0*m = i. Suppose -o + 5*o - 124 = m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -7*l - 11*l. Is 37*(-6)\/12*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + z**5\/20 + z**4\/24 + 7*z**3\/6 - 49*z**2. Let g be u(3). Solve 4*m = k - 20, 0 = 2*m + 2*k - k + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 21217?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b523 (base 12) in base 14?\nAnswer: -bbc71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 + 1.26. What is the smallest value in -3\/7, -1\/5, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0266 + 1.05. Let b = 0.02338306 - u. Round b to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5)*2*(-8)\/(-64). Let y be (-612)\/54 + (-33)\/(-3). Let s = -6.1 - -1.1. Which is the closest to y? (a) s (b) d (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/128 + (-19)\/(-92). Are w and 2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-2*1 - (5 + sqrt(192)\/sqrt(6)))**2.\nAnswer: 80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2031667511 to the nearest 100000.\nAnswer: -2031700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8355*b*s**2 + b*s - 12*b - 5*s**2 + s - 66 wrt s?\nAnswer: -16710*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021010112 + 1120?\nAnswer: 111021012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5405 = 5*s. Suppose -s = -4*q + 5*c, q + 279 = 2*q - 3*c. What is the highest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose i*c + c = 6. Solve c*b = -3*n - 7, 0 = -0*b - 4*b + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 4)*(-2 - q + 2) + q - 3 + 3 + (-4 + 2 + 1)*(3*q + 0 + 0) in the form t + h*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - 10*s - 42. Calculate z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*v**2 + 984*v**2 - 332*v**2 + 42 - v**3 - 325*v**2.\nAnswer: -v**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20067 + -13490. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*l - 55*l + 113*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84328 + -37373. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 7*a**2 + 2*a + 9. Let y be g(-6). Suppose 3*f - h - 55 = h, -y = -f - 3*h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:52 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/2574 + 2\/12\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(135) + sqrt(135))\/(sqrt(405) + sqrt(405)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**2 - 725 - 45*i**2 + 725.\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*l + w, 2*w = -5*l + w + 21. Solve -5*g - l*y - 29 = 0, 2*g + g = -5*y - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjssjjjjjjjj. Give prob of picking 4 j.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 8, -2, 7 in decreasing order.\nAnswer: 8, 7, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33125, 32325, 31525?\nAnswer: 30725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25518150 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 198.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 7)*7\/(-3). Suppose -4*p - t = 1. Is (159\/(-6))\/(p\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8057.4377 + 8058. What is l rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 641.8852 meters?\nAnswer: 0.6418852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 8*k + 10. Let d be c(7). Suppose d*q + 0*q - 345 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 256?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let l(o) = 49*o**2. What is l(w(r))?\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.11 - -14.2. Let z = p + 0.41. Which is the biggest value? (a) z (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*m**3 - 8*b**3*m**2*s - b**3*m + 3*b**2*m**2*s**2 + 11*m**3*s**2 - 2*m*s**2 wrt m.\nAnswer: 30*b**3 + 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 1. Let r be (2\/3)\/((-16)\/(-24)). Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/60 - s**5\/15 - s**4\/12 + s**3\/6 + 2*s**2. Let c be a(-2). Let z be (-82)\/(-16) - 1\/8. Solve -z = -2*p + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 20, f = -0*l + l + 5. What is the remainder when f\/1*(3 + 5*4) is divided by (-47)\/(-4) + 1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 5*v - 3. Let k be 6\/(-10) + (-108)\/20. Determine u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4146129 rounded to 2 decimal places?\nAnswer: -35.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.4359us to seconds.\nAnswer: 0.0001734359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 44*b + 226. Give c(16).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -104, -226, -396, -614, -880?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/12*9\/(-210). Suppose 6*r - 2*r + 4*b = 12, 0 = -3*r + 5*b - 7. Is r less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 72*c - 2902136 = 0. What are the prime factors of c?\nAnswer: 2, 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(105\/9). Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-2*((1*sqrt(72))**2 + -2 + sqrt(72)) - 4*1*sqrt(72)*-2).\nAnswer: -423 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -17 in descending order.\nAnswer: -3, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20976283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 3. Let z be k(3). What is the common denominator of (-145)\/(-50) + (-2)\/5 and ((-29)\/10)\/((-1)\/z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000426018 rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 159571 - -7a?\nAnswer: 15961b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/82420 and -28\/17433.\nAnswer: 110525220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 182\/(-7) + 1 + -2. Let o = -17 - r. Solve 5*l + 3*v - 4*v = -20, 0 = 4*l - 2*v + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-105)\/28)\/15)\/(((-33)\/30)\/(-11))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 6. Let b(z) = -7*z - 2*z + 0*z + 17 - 5*z. Let k(l) = 2*l + 3. Let s be k(7). What is s*t(o) - 6*b(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 + 6*r - 3. Let t be m(-6). Which is the nearest to -1? (a) 0.4 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253021 is divided by 2115?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 28*d - 1. Let p(s) = -s**2. Give -3*p(v) + u(v).\nAnswer: v**2 + 28*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5*13\/(-130))*(-39)\/(-3432)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1017315773.89 and -0.5.\nAnswer: -1017315774.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 2*m - 16*m + 0 + 0 + 2*m + (-3 - m + 3)*(-2 + 0 + 0).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 + 2*h**4 - 4*h**4 + (-h**3 + 2*h**3 + 0*h**3)*(5*h + 0*h - 4*h) + 11*h**4 - 20*h**4 - 5*h**4 + (3*h - 2*h - 3*h)*(2 + h**3 - 2).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144079.64 nanoseconds in days?\nAnswer: 0.0000000132416625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(5*v - 22*v + 98*v).\nAnswer: 243*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 88 = 94 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18131ng in tonnes?\nAnswer: 0.00000000000000018131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - 1. Let x = -11135.1 - -11203.0978. Let o = x + p. What is o rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaxxxmpppxxfpfpfpfpf. What is prob of picking 2 x and 1 a?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -5 - (-167 - -4). Suppose -25*b + 29*b = y. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 10278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(-1 - 1 + 1) + 0 - 1 + 0 - 7 - 1 + 20)*(-3*u + u + 0*u) to s*u + r and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180744?\nAnswer: 2, 3, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 9}. Give prob of picking 3 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-8))\/((162\/444)\/9). Suppose -4*k + 62 = 2*q, 0 = 2*q - 3*k - 38 - 45. Let y = a + q. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 3. Let n(l) = -405*l - 2430. Let g be n(-6). Give s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*l*w**2 + 2047*i*l - 66*i*w**3 - i*w - l*w**3 - 1460*w**3 - 10 wrt w?\nAnswer: -396*i - 6*l - 8760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39874, 159505, 358890, 638029, 996922, 1435569, 1953970?\nAnswer: 2552125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/10697 + -1294445\/192546. Let t = -4 + 1. Calculate the common denominator of (-170)\/(-4) + t - 0 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, j: 1, u: 7, h: 2}. Give prob of sequence hu.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28555\/9 or 3174?\nAnswer: 3174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*u - 39*u**2 - 491*u as j + s*u + a*u**2 and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19 - j + 26*j**3 - 33*j**3 - 23*j**3 wrt j?\nAnswer: -180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 9 - 211. Let t = -28 - s. Calculate the smallest common multiple of 4 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 - 52. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1989, 1820, 1363, 474, -991, -3176?\n\"Answer: -24*y**3 - y + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -2.2, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2012353*f*x - 8540*x - 42 wrt f.\nAnswer: -2012353*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/5 + 741*h**2\/5 - 1489*h\/5 - 2229\/5 = 0. What is h?\nAnswer: -743, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 6. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*d**3 - 4*d**2 + 4*d**2 - 298*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -33*c**4\/5 - 49*c**3\/5 - 12*c**2\/5 + 4*c\/5 = 0?\nAnswer: -1, -2\/3, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 - h**2 + 1. Let q(a) = a**3 - 7*a**2 - a + 10. Let n be q(7). Let b be n\/5 - 8\/(-20). Is r(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.28, 4, 2\/79, -1, -0.3, -5?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*j - 330 = -75*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert badda (base 16) to base 12.\nAnswer: 30ab36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(1331) - (sqrt(1331) + sqrt(1331) + -2 + 3))*1 + 0)**2*1*4.\nAnswer: 704*sqrt(11) + 42624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let z = 3 - 1. Suppose 2*s = 5*d - 20, -z*s + 4*d + 0*d = 16. Sort m, -2, s in ascending order.\nAnswer: m, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 2*a - a, -a = 4*s - 23. Suppose s*x - 75 = -15. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n - 8*n - 33*n)*(-n - 4*n + 4*n + 1 - 2*n - 1 + (-1 - 1 + 3)*(0*n - 3*n + 4*n)) to v + b*n + o*n**2 and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1259\/540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s + 4*s. Suppose 4 = -3*f - 4*a + 2*a, 5*a = s*f + 9. Which is bigger: f or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 9*c**2 + 8*c + 2. Let u be a(-5). Let w be 278\/6 - (-84)\/u. Suppose -5*j = 4*j - w. What is the nearest to 2\/7 in -6, j, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-408)\/(-69) + (-4)\/(-46). Which is smaller: 300\/49 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - s**2 + 41*s - 119. Calculate r(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 65*f**2 + 28*f**2 + (-2 + f + 2)*(-f + 6*f - 4*f) + f**2 + 3*f - 3*f + f to b + a*f + l*f**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k - 13. Let n be l(2). Put -3, 4, n, 0 in increasing order.\nAnswer: -3, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)\/sqrt(3)*6)\/sqrt(2))\/(sqrt(128)*-1*3 + sqrt(128)))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6*k*k\/(k*k*(k*k**(-1)*k)\/k))\/(k*k**(3\/4)*k**4)*k*k**8*k**(-2\/7)\/k*((k\/(k**0\/k*k))\/k)**(-3\/7) assuming k is positive.\nAnswer: k**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121111212 (base 3) in base 7?\nAnswer: 50045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (25 - (-34 + 26)) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - x + 1)*(2 + 0 + 0) + (-2*x + 1 - 1)*(2 - 2 + 1) as r + u*x and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*h**4*m**3 - 23*h**4*m - 7250*h*m**3 - 2*h*m wrt h?\nAnswer: -1200*h**2*m**3 - 276*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 740\/260 + (-4)\/(-26). Suppose n = -4*n + i*j + 29, -2*j - 2 = n. Let o be (-2)\/(-3)*n*3\/(-8). Which is smaller: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.217 minus 18576997253?\nAnswer: -18576997263.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.67 - -6.67. Which is the biggest value? (a) 6\/5 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04055416 to 5 dps.\nAnswer: -0.04055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271.9 + -272. Let t = 1.1 - 1. Let f = 6 - 13\/2. What is the closest to q in t, f, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-21)*j)\/j**(-1\/15))**34 assuming j is positive.\nAnswer: j**(-10166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 - 74 - 2*i**4 + 3*i**4 + 3*i - i**2 - 8*i to the form w*i + h + m*i**2 + r*i**4 + b*i**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -9*v**4\/2 - 4*v**3\/3 - 4*v**2 - 8*v - 126. List the prime factors of z(-3).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4*a - 10 = 0, 2*u + 3*a = 120. Suppose -9*j + 51 + u = 0. Suppose j*c = 18*c - 546. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -46*w**3 - 5*w**2 + 12. Let c(r) = 132*r**3 + 13*r**2 - 37. What is 6*c(h) + 17*v(h)?\nAnswer: 10*h**3 - 7*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 169*u - 591. What is the tens digit of v(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (38 + -1 + -13 - -6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 33*u - 178 - 247 + 34*u to the form a + v*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 672664*o**3 + 113117868888*o**2 + 452479547552*o + 452482238224 = 0. What is o?\nAnswer: -2, 336334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10130 - -14839. What is the greatest common divisor of s and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 2. Let n be h(-3). Suppose 4*w + 3*m - 19 + 5 = 0, -10 = -n*m. Solve w*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 111, 251, 447, 699?\n\"Answer: 28*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 + -2.6. Let b = 57.19 - 58.1861. Let i = r + b. What is i rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -51*o - 6. Let u(j) = -92*j + 914. Let f be u(10). Let h(b) = b - 1. What is f*h(c) + y(c)?\nAnswer: -57*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*m + 4*t - 42, 5*t = 4*m - 9. Let w be 2 + (0 - (-1 + 3)). Put 3, -3, w, m in descending order.\nAnswer: 3, m, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 857773*b*f**3*u - 2*b*f**2*u - 8*b*f*u - 153*b*f + 2*b - 2*f**2*u - f*u - u wrt f?\nAnswer: 5146638*b*f*u - 4*b*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3392927, -6785767, -10178605, -13571441, -16964275?\nAnswer: -20357107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*x**4 + 8*x**4 - 6*x**4 - 9*x**4 - 9*x**2 + 9*x**2 + (-2 + 1 - 1)*(-3*x**4 + 0*x**4 + 2*x**4) to m + a*x**2 + d*x**4 + b*x**3 + v*x and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - p - 2. Let i be t(2). Let h(f) = 2*f + 27. Let l be h(-12). Solve i*q = w + w - 26, -l*q = 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5))**(-2\/115))**(-28)\/((w*w\/w**(-4))\/w*w\/((w\/((w\/(w*w**(-2)*w))\/w*w*w)*w*w)\/w)*(w*w\/w**(-1))**32) assuming w is positive.\nAnswer: w**(-58258\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 61 - 47 + 58)*(-116 + 63 + 64) as b*s + m and give m.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bd1 - 5ee?\nAnswer: 5e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 28912410 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**7)\/d)\/d*d)**(-3\/31) assuming d is positive.\nAnswer: d**(-21\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9600 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -548, -2071, -4440, -7517, -11164?\n\"Answer: 23*p**3 - 561*p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w + 55*w - 8 - 45 + 30*w - 211*w + 68*w.\nAnswer: 3*w - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456314 is divided by 110?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-10) - 10\/(-25). Let s = -10 + o. Put 3\/7, s, -3 in descending order.\nAnswer: s, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264101*c + 263973*c - 1190 + 9510 = 0 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90)\/(-5) - (-3 - 1) - 1. Calculate the lowest common multiple of 10 and (u\/(-15) + 1)\/((-1)\/20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11556 divided by 9?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.4. Suppose 4*z = 2*y + 95 - 3, 2*y = -5*z - 83. Let j = y - -177\/4. Put n, -5, j in increasing order.\nAnswer: -5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1035.\nAnswer: 517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(5\/20*(-308)\/231)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 938288793.3 - 0.4.\nAnswer: 938288792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2381 + 2411. Solve -19*n + 46 = -z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 98*g - 876. What is k(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12*-2*-9. Let r be -2 - ((-504)\/45)\/7. Which is the fourth biggest value? (a) 4 (b) y (c) r (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-16)\/(-4))\/(-20)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 919635*q**2 + 1140915*q?\nAnswer: 1839270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -30, -50, -74?\n\"Answer: -2*k**2 - 10*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3578 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 5380.\nAnswer: -161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Suppose n = p - 2 - 0. Find the second derivative of p*g**5 + 3*g**5 - 4*g - g**5 wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*n - 25, 4*n = -3*c + 7*c - 28. Solve -3*z + 8 = -2*z + 3*b, 9 = c*z - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4. Let y(j) = j**2 + 8*j + 2. Let k be y(-8). Let g(i) = i - 5. Give k*g(o) + 3*n(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -57, 0.1, -1.3, -2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210867 = -19*t + 221934. Suppose -13*z + 22*z = t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30135 divided by -735\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-264.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*p**5 - 4369*p**4 - 11*p**3 + 52*p**2 + 461925 wrt p?\nAnswer: -1920*p**2 - 104856*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 57*l = -32*l + 28875. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 1906254 = 711746. Round z to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/23)*c**(2\/31)\/c*(c**(-10))**(3\/31) assuming c is positive.\nAnswer: c**(-613\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/20*w**5 - 1\/6*w**3 + 25\/2*w**2 - 2*w - 1\/4*w**4 - 17. Find the second derivative of z(i) wrt i.\nAnswer: -6*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1054625625*m**3\/11 - 1054755525*m**2\/11 + 129904*m\/11 - 4\/11.\nAnswer: (m - 1)*(32475*m - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 - 5 + 2 + 3 to c*k + q*k**2 + t and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47823, 191323, 430491, 765327?\n\"Answer: 47834*h**2 - 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912525.\nAnswer: 5, 113, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27556.4387026759 + 129748448.5613983241. Let f = h + -129775752. Let u = -253 + f. Round u to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 12*n - 11. Let g be o(13). Let x(p) = 5*p + 8*p + 2*p + p**g + 6 - 6*p. Let y = -3291 + 3285. Give x(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 9*t**2)*(-5*t**3 + 3 - 3) + (t**3 + 2*t**3 - t**3)*(1 + 2*t**2 - 1) + 2*t**5 + 3*t**5 - 3*t**5.\nAnswer: 51*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*h**3 + 6728*h - 6728*h + 159*h**2.\nAnswer: -2*h**3 + 159*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*n + 3 = 0, n + 31 = -d + 38 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 762 and 977011?\nAnswer: 5862066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 4, e: 1, x: 1, l: 4, s: 1}. Give prob of picking 1 e, 1 l, and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -74472864.\nAnswer: -1\/74472864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 10:24 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**7\/147 - 3*n**6\/7 + 373*n**5\/35 - 2717*n**4\/21 + 5239*n**3\/7 - 10985*n**2\/7 + 925*n + 2. Suppose m(w) = 0. Calculate w.\nAnswer: 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 134736 = -3*v, q + 37*v - 26944 = 38*v. What are the prime factors of q?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 10*c + 8. Let a(x) = 5*x**2 - 15*x - 12. Let r(y) = 5*a(y) + 8*i(y). Suppose 4*w = -16 - 0. Let v be r(w). Is -2\/7 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161521171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, d: 1, c: 4}. What is prob of picking 1 v and 1 c?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61964616 and 784?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/25041 and -47\/119313?\nAnswer: 2028321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 76. Let j(l) = l**3 + l**2 - 11*l + 7. Let x be j(i). Factor -10\/11*o + 4\/11 - 2\/11*o**x + 8\/11*o**2.\nAnswer: -2*(o - 2)*(o - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447987 divided by -36\nAnswer: -149329\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + p - 2*p + (0*p - p - p)*(0 + 2 - 3) + 111 - 118 - 14*p - 3*p.\nAnswer: -16*p - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -9\/4 (b) -9 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35937670*a - 26657394.\nAnswer: 35937670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/24*38808\/3234.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 36*a**2 + 20*a - 649. Calculate the remainder when 1703 is divided by j(36).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 6) to base 15.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 67*g - 155. Solve 30 = g*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 15289?\nAnswer: -3\/15289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 48*q**2 - 75*q - 126.\nAnswer: -3*(q - 14)*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4237 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: Subtract -255.12 from -1.\nAnswer: 254.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 25. Suppose -3*y - 2*y + g = 0. Suppose 2*t + 4*s = 4, 5*t = -s - 0*s + 10. Does t = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21385*f**2 + 24*f - 1 + 21381*f**2 + 3 + (2*f + f - 7*f)*(-3*f + 3*f - f) + 3*f**2 - 5*f**2 + 4*f**2.\nAnswer: 2*f**2 + 24*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5599*a**3*r**2 + 5*a**3*r - 8*a**2*r**2 + 737*a*r**2 + 150*a*r + 24356*r + 11 wrt r.\nAnswer: -11198*a**3 - 16*a**2 + 1474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-35) - (-1686)\/21. Factor -15*j**2 + 7*j**2 + 60*j**3 + 12*j + 45*j**3 + d*j**2.\nAnswer: 3*j*(5*j + 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*2\/(-24)*(-32)\/(-84). Let z = -10 - -13. Let l = -0.03 + -4.97. What is the nearest to a in -0.23, l, z?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*w - 15 = 0, 1252*p - w = 1250*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 26 = 8*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = h + 12, 0 = -h + k - 2*k - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18*l**3 + 8*l**2 + 12*l - 7. Calculate i(-4).\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30094 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4410.93616 to the nearest ten.\nAnswer: -4410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 5. Let w be j(-7). Suppose w*z + z - 18 = 0. What is the units digit of (-24)\/36 + 58\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 32*o - 24. Calculate a(-14).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 27, -3, -5 in ascending order.\nAnswer: -5, -4, -3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-12)*80\/(-30). Let x = 3.8 - 4. What is the second smallest value in 2\/15, x, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.06, -0.5, -0.05, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4)*34 + (-8 - (-49)\/7 - -8).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15988 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95505 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/6054 and 4\/1875.\nAnswer: 3783750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8580)\/(-5500))\/(9\/(-150)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -17. Calculate the common denominator of ((-12)\/16)\/(t\/(-47)) + 1 and 43\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84752780 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 m(w) be the first derivative of 10*w**6\/3 - 11*w**3\/3 - 25. What is the third derivative of m(v) wrt v?\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11340363.\nAnswer: 3, 29, 130349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*x - 101*x = -10. Find t such that -7*t - 36*t**4 + 86*t**3 + 17*t**x - 9*t - 53*t**2 + 18*t**3 - 16*t**5 + 0*t**5 = 0.\nAnswer: -4, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287110793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 3*q**2 + 1. Let n be w(2). Suppose -5*t - n*v - 8 = -3*t, -4*t = 4*v - 8. Does 4 divide 2\/t - 46\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -60, -8, -1 in descending order.\nAnswer: 1, -1, -2, -8, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/89250 and -181\/4500.\nAnswer: 535500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + 90. Let k = d - 83. Let n = -64 + k. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 700608.1ml?\nAnswer: 700.6081","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 3198 at least 3210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -612. Let t = -129 + o. Is t a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -30. Calculate the remainder when 27 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 88 - 8. Suppose 0*j = 5*j - n. 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 p(i) = 5*i**2 + i + 3. Let r(y) = -4*y**2 - 3. Let h(m) = -4*m**2 - 3. Let j(n) = -3*h(n) + 2*r(n). Give -3*j(t) + 2*p(t).\nAnswer: -2*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 1, -2\/13, -1\/204 in ascending order.\nAnswer: -2\/13, -1\/204, 1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*b**2 - 50*b**2 - 19*b**2 + (3 - 5 + 0)*(-4*b**2 + 4*b**2 + b**2) in the form s + z*b**2 + n*b and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6316237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 267031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125449, 135695, 145929, 156145, 166337?\nAnswer: 176499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 5*h + f + 41, 560555*h - 16 = 560551*h + 5*f for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6706 and 69430571.\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + j = -3, 1 = -4*b + 2*j + 3. Suppose -7*o + b = -5. Put 5, -2\/5, o in decreasing order.\nAnswer: 5, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/10 or 4?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 27 + (1 - ((11 - 5) + 10)) - 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-2*-2)*4)\/(sqrt(726)*-2 + sqrt(6) + sqrt(24)\/sqrt(4)*-3).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = -5*t, -8 = z + z - 4*t. Suppose -n = f - 148, z*n - 203 = 5*f + 100. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*x - 814*x - 16244 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 29*p + 16 = 0. Let d(j) be the second derivative of 0 + 0*j**3 + 6*j + 3\/2*j**2 - 7\/12*j**p. What is the derivative of d(x) wrt x?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1, 0.4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -21*r + 26. Let m be k(1). Calculate the greatest common factor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271243 by -1.\nAnswer: 271243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) - (-3)\/(-6). Let x(c) = 3*c - 8*c - 9*c + 1 + p. Determine x(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 3*t - 3, -5*t - 11 = -z. Calculate the least common multiple of 22 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11865.0004827 - -11865. Round n to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13873, -27730, -41609, -55522, -69481, -83498?\nAnswer: -97585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 14*c - 159. Give n(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5580*g**3 - 553*g**2 + 15605*g - 589.\nAnswer: 33480*g - 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125) + sqrt(125) + 2 + -6*(sqrt(125) - -2*sqrt(125)) + 2 + -2 + -2)**2.\nAnswer: 320*sqrt(5) + 32004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3111\/7259)\/((-3)\/((-42)\/16)) + (-1038)\/(-432).\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 13 = -57. Calculate the remainder when 23 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -31. Let c = w + 29. Let o = 17.055 - c. What is o rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = 37 + 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-36) - 40\/3. Which is greater: -86\/7 or j?\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383.7 - -367.7. What is the nearest to 0.2 in 2, b, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzuzxrxxxe. What is prob of sequence xuex?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*m**4 - 1549*m**3 + 1550*m**3 + 25*m**2 - 1 in the form n + f*m**3 + s*m + t*m**4 + v*m**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 - 1532*c**3\/3 + 180118*c**2\/3 - 3033148*c\/3 + 951520 = 0. What is c?\nAnswer: 1, 19, 120, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 22 = 4*d. Let j(m) = -m**3 + 5*m**2 - 1. Let l be j(4). Solve -5*i + d*t = l, 5 = -i + 3*t + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**3 - f**3 - f**3)*(-20 + 19 + 0*f + 2*f) to the form q*f**2 + j + i*f + b*f**4 + o*f**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b0f09 + 3a?\nAnswer: -1b0ecf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*y + 61 = y, 3*y - 71 = 2*u. Let l = u + 30. Suppose -2*f = l*o + 2 - 8, 0 = -5*o + f + 27. What is the remainder when 7 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143373 - 21*h + 74630 - 11*h + 68743.\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 4. What is the smallest common multiple of b and (-51504)\/(-2320) + ((-24)\/(-10))\/(-2)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*y + 69, -5*y + c = -73 - 12. Let t(f) = y + 10 - 2*f - 28. Let q(d) be the second derivative of d**3\/3 - d. Give t(q(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -69*b**2 - 18*b - 52. Let t be x(-3). Let j = 685 + t. What is the highest common factor of 42 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816052.5 milligrams to grams.\nAnswer: 816.0525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10925617.5 minutes?\nAnswer: 1083.890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4 - 3 + 1)*(19*i - 12*i - 38*i).\nAnswer: -62*i**2 - 62*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.31151 - -0.31151. Which is the biggest value? (a) 8 (b) 23\/15 (c) o (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5134*m - 2209*m = 7516*m + 683514 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/50930 and 151\/5472660.\nAnswer: 60199260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 510998 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3519 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/3, 0, -1.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/(1\/(-129)). Let v = -41 + s. Solve -2*g + 13 = 3*o, 18 = -v*o + 4*g - 0*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 24. Let t be z(12). Suppose 2*d - t = 3*x, 3*x + 3*d + 27 = -0*d. Let p be 1280*((-525)\/x)\/(-1). Round p to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.044 + 0.044. Put -23, f, 0.4 in descending order.\nAnswer: 0.4, f, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 9*f**2 + 9*f - 7. Let p be g(8). Let j(i) = p - 2*i + 1 + 5*i. Suppose -10 = 18*c - 13*c. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*4\/(-14). Let p = 51.25 + -50. Let y = p - 0.85. What is the smallest value in 4, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9. Is 10 a factor of l\/(-3) - (-264)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -249. Let j(h) = 5*h**2 + 5*h + 26. Let y(n) = n. Let f(k) = j(k) + 4*y(k). List the prime factors of f(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7744 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54, 1, -5?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22*b - 6. Let f be c(-3). Let z be 4\/(-10) - (-2604)\/f. Differentiate -z*y**3 + 0 + 3 + 8*y**4 + 43*y**3 with respect to y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -715, -2832, -6361, -11302, -17655, -25420?\nAnswer: -34597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3*t)\/t*t)\/(t**(1\/8)\/t)*(t*t\/((t*t**(-2)\/t)\/t)*t)**(-38))\/((t**(-2))**(-40))**(-48) assuming t is positive.\nAnswer: t**(28935\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*75\/5. Let x be (12\/(-2))\/((-4)\/a). Let u = x + 25. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(60\/800) - (-8)\/(-1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(2)*-3 - sqrt(15))\/(sqrt(243)*2) + sqrt(2205)*2 + -3.\nAnswer: -3 + 376*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/(-18) - -3 - 3363\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/4 + 707\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -989\/9 - -110. Let h = 497 - 496.8. Which is the second biggest value? (a) 2 (b) h (c) v (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -1506, -2962, -4890, -7290?\nAnswer: -10162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 304*z + 639. What are the prime factors of v(86)?\nAnswer: 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + s + 6, -u - 4*s + 4 = 0. What is the lowest common multiple of (-618)\/(-9) - -1*u\/(-6) and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*q - q + 88, 2*q = 4*n + 68. Let f = n - -21. Suppose -2*p + 3*h = 3*p - 4778, 0 = f*p + h - 1909. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9566519, -38266097, -86098729, -153064415?\nAnswer: -239163155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672 and 54600?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, -4, -27547.\nAnswer: -27547, -4, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60639992, -60639988, -60639984, -60639980, -60639976, -60639972?\n\"Answer: 4*n - 60639996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Suppose 0 = 2*c - 6*f + x*f - 186, 4*c + f = 345. Suppose -21 - 23 = -2*z. Calculate the remainder when c is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b = 68*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 174*x**2 - 1683*x - 26136.\nAnswer: -3*(x - 33)**2*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 797600363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 204)*-1*4\/8 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4\/2 - 26*u**3 + 35*u**2\/2 + 11*u = 0.\nAnswer: -11, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o - 2. Let x be i(-1). Is x less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 1892*b**2 + 224672*b + 222784.\nAnswer: 4*(b + 1)*(b + 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -53*v**5\/20 + 5*v**4\/12 + 79*v**3\/2 + 4*v + 6. Find the second derivative of h(d) wrt d.\nAnswer: -318*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + -124 + 3 + (54 - (-1 + 0))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -638*o**3 - 396*o - 10. Let c(h) = -h**3 - h + 1. Let z(l) = -10*c(l) - q(l). Find the second derivative of z(r) wrt r.\nAnswer: 3888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20179 less than 22383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90*(-6*(5593\/42)\/(-17))\/3.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.045879844 and 0.05.\nAnswer: 0.004120156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 397*h + 105. What is q(0)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 862 + -243. Suppose o - 4*q = 132, 5*o - 3*q - s = 24. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 338*w - 5398. Let k be x(16). Solve 0 = -2*b - k, 0 = -5*y + 49*b - 47*b + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -323687, -646906, -970125, -1293344, -1616563, -1939782?\n\"Answer: -323219*t - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 88*b**3 - 14*b.\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(153)*2) + 1 - sqrt(68)\/(sqrt(256)*-2))**2.\nAnswer: -79*sqrt(17)\/8 + 106353\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 2143, 4795, 8499, 13249?\nAnswer: 19039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46661 - -134665. Let s be y - 5 - (-3)\/3. Round s to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 5 + 1 - 3*k. Let f be n(-6). Let r = -9 - -12. Solve -r*y = f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -970 - -1366. Suppose -k - 2*k = -g. Suppose 3*p + 3*r = 93, -4*r + k = 4*p - 2*r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.1999983296 - -22.2. What is d rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 22. Let j be (2 + m)\/(7\/35). Let x(b) = 2*b**2 - 6*b - 6. What is the tens digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1792 + 1044165.6579\nAnswer: 1044165.4787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803723953?\nAnswer: 37, 21722269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17074342.\nAnswer: 2, 1973, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -33378.\nAnswer: -33378.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -0.07 (c) 9 (d) -13\/6 (e) 0.3 (f) -3\/2 (g) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 69205*s**2 + 13371115*s - 13440325 = 0.\nAnswer: -13645, -197, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.710638 and -19.\nAnswer: -17.289362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16421\/6 + -2737. What is the fourth biggest value in 261, 2\/11, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 + 266. What is the lowest common multiple of 120 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5272, 5299, 5314, 5317, 5308, 5287, 5254?\nAnswer: 5209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -139*f - 4. Let b be v(-3). Suppose -9 = g + b. Let l = -252 - g. What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 + j - 5. Let v(g) = g + 5. Let h be v(0). Suppose -5*m = -3*l + 40 - 0, 2*l + 3*m = -h. Calculate s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - i**2\/3 + 362*i\/3 - 120.\nAnswer: -(i - 18)*(i - 1)*(i + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4733445 is divided by 1336?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-83 + (79 - 39))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 524 and 1441?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 63*w**2 - 89*w + 212. Is l(59) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*8\/14*(-17)\/(-68)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127942 - -184142. Suppose 27*v - j = 23*v. What is the common denominator of -61\/10 and (-1)\/(18\/4) + v\/(-3600)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 30. Let h = w - -32. What is the second derivative of -15*d**4 + 4 - 12*d + h*d**4 - 4 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 13) + (-1224)\/(-544) - 157\/(-188).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4109095\/(-6574552))\/((-1*(-2)\/(4\/2))\/(-5))?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 9*y - 12. Suppose -z - 36 + 31 = 0. Let l be f(z). Let a be (2\/58)\/(16\/l). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.08 (b) 3 (c) -77\/6 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {p: 2, w: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*k + 5447 = 169 - 34 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05168 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-30 + 23*g**5 + 27 - 33*g**5).\nAnswer: -20*g**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28289.3 years to months.\nAnswer: 339471.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -460 - -9723. Calculate the greatest common factor of 59 and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 + 5) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 125 = -6*k + 67 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 50*h - 36. Let b be x(8). Calculate the greatest common factor of 52 and b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -670 + 670. Solve 5*q + 5 + i = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -18?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 13\/2 (b) 5 (c) 1\/57 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191.1 - -18.1. Let k = -173 - r. Are 0.325 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2039 + 1091 - 9*i**3 + 2*i + 849 in the form c*i**3 + w*i**2 + l*i + a and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24161, -49 in decreasing order.\nAnswer: 3, -49, -24161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*d**2 + 71*d**2 + 139*d**2 - 62*d**2 + 3*d**2 + 5*d**2 - 6*d**2 + (-1 + d**2 + 1)*(3 - 1 - 4) - d**2 + 0 + 0 + 4*d**2 - 3*d**2 - 3*d**2.\nAnswer: 143*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 16. Let f = v + -18. Calculate the remainder when 3\/((-82)\/44 - -2) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 12, 45*b + 4 = q + 43*b. Sort q, 4, 2, 3386 in increasing order.\nAnswer: q, 2, 4, 3386","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12355563 and 49422249\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 543 and 2353?\nAnswer: 7059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (-2 + sqrt(272))) + 1 - sqrt(272)) + sqrt(272))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 280, 376, 466, 550, 628?\n\"Answer: -3*s**2 + 105*s + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-31)*s*s)\/s*s**(1\/3))**(-1\/33) assuming s is positive.\nAnswer: s**(86\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(6\/80)*620\/(-80). Let p = 499 - d. Calculate the highest common divisor of 315 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597573060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (-1 + sqrt(2299))*-2) + sqrt(2299))**2.\nAnswer: -176*sqrt(19) + 36788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1992 and -61\/664.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8502 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -2 (c) 4 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 67*t**2 - 720*t + 41816. What is h(-82)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 113 = -3*x + f, -f - 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by (-42)\/(-9)*(11 + -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.015 - 105.015. Let v = 104.6 + t. What is the closest to v in -5, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6*w. Put -7, w, 5 in increasing order.\nAnswer: -7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4 + 104*d**3 - 2917*d**2 + 19708*d - 16896 = 0.\nAnswer: -128, 1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(5))*4 + sqrt(5))**2.\nAnswer: -80*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 29) + -109 + 124?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-42) - 2\/3. Suppose g = 6*d + d - 385. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/180*8)\/(1\/(-6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 944.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4191776 kilometers to nanometers.\nAnswer: 419177600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.051+10.83013506\nAnswer: 10.77913506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36 from 15.2.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 4*j, 6*k - k + j - 5 = 0. Suppose -4*u = -5*q + 2 + 4, 0 = u - q + k. Let x be 0 - 0*4\/(-12). Solve c + 0 - u = x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 < 497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.1 - 1.1. Let k = f + -8.08. Round k to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 316, 1626, 2936?\n\"Answer: 1310*b - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25021692 and 936.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 29, 24, -1, 58, -2 in descending order.\nAnswer: 58, 29, 25, 24, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**1*r*r*r**(-1)*r*(r**3)**(-3\/4) assuming r is positive.\nAnswer: r**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + b + 1. Let d be m(-1). Let z = d + -4. Solve 3*n + s - 2 = z, 0*n - n - s = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6722 + 11?\nAnswer: 6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o - 10. Let f be s(9). Suppose -13 - 3 = f*y. Let z = -3 + 7\/2. Which is the closest to z? (a) y (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 17*n**2 - 29*n + 16. Let t(k) = k - 3. Let g be t(-12). Let v be p(g). What is the closest to -3\/5 in v, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:56 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 7. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124049 divided by 17\nAnswer: -7297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111100001000000 - 10110?\nAnswer: 10001111100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 5312457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(0 - 2 - -1). Suppose -s - 23 = -5*j. Suppose -3*a = -3*b - 12, -2*a + j = 2*a + 4*b. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140521, 140523, 140525?\nAnswer: 140527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 - 15*j**3 + 0 + 0 + 12*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)\/h*h*h**(-4)\/h)\/(h**(3\/2)*h*h**(-13)\/h))**(-13\/4) assuming h is positive.\nAnswer: h**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738 = -44*k + 367 + 371. Factor 0*u + k + 0*u**2 + 1\/5*u**4 + 2\/5*u**3.\nAnswer: u**3*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7965920?\nAnswer: 2, 5, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548424745.\nAnswer: 5, 11, 9971359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 1, u: 1, m: 1, r: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 5192 = 18*g + 23*g + g for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 114, 24, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, -2\/11, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17643642683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/161*((-403)\/(-39) - 8).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16345)\/(-56) + 1 + 1. Let k = 294 - u. Are k and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1062480?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-42))\/(23\/3059)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coocococcocc. Give prob of picking 2 o.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09157 - 23.23603. Let f = r + 23.3. Round f to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 - d**2. Let a be w(1). Suppose -12 = -7*s + a*s. List the prime factors of 7 - (s + 16\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2. Let m(d) = 11*d**2 + 310*d - 259. What is m(o(f))?\nAnswer: 539*f**4 - 2170*f**2 - 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 88*q**2 - 16. Let k(x) = -5*x. Determine k(w(t)).\nAnswer: -440*t**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 712. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 2154*n**3.\nAnswer: -2154*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 14*u - 121. Does 3 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6 - q**3 - 336*q - 6*q**2 - 313*q + 644*q. Calculate w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*v**4 + 10*v**3 - v**2 + 5898.\nAnswer: -744*v**3 + 30*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i - 24697 + 25507 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-132) - 40\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1057 + 1107 + 136*d**2 - 142*d**2 to the form j*d**2 + n + k*d and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889058*t + 380620*t + 508435*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 0. Let y be 10\/(-7) + 2 + 1062\/(-413). Let l be (1900\/30)\/(y\/j). Round l to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (0 + -6 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 294*p**2 - 594*p**2 + 299*p**2. Let t(o) = 22*o**2. What is k(t(v))?\nAnswer: -484*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30093 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 30*i + 3 = -29*i, -9 = m - 3*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -873.077681 take away 16.9?\nAnswer: -889.977681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 6) to base 13\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 minus -0.75?\nAnswer: 2925.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1191)\/(-15) + (-42)\/105. What is the highest common divisor of 237 and a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -498392, -497945, -497498, -497051, -496604, -496157?\n\"Answer: 447*i - 498839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 2825\/105 - (-12)\/126.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 3. Does 56 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3388))**2 + sqrt(42)\/(sqrt(24)\/sqrt(4))*2.\nAnswer: 46*sqrt(7) + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + 7 + -1 + 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*g - 10, -z = -3*g + 2*z - 18. What is the common denominator of 25\/12 and 2\/g + (-285)\/40?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22403062 to the power of 1\/2, to the nearest integer?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-4)\/2 - (48\/(-60) + -5)). Is -0.044 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*i - 36, -8 = -2*i + 2. Suppose 14 = 2*a + 2*z, 3*z + 8 + l = 4*a. List the prime factors of 2\/(-6) - (-20)\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9340 a factor of 92372600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 3*k**2 - 2*k + 13. What is p(4)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 67398 = -67664 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.8 or 74\/117?\nAnswer: 74\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 427, 640, 853, 1066, 1279?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -2\/13 (c) -28 (d) -1 (e) -0.3 (f) 931.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2650, 10598, 23844, 42388, 66230, 95370, 129808?\n\"Answer: 2649*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255984 divided by -63996.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.8 + -3.8. Let p = 0.9 - -6.1. Let n = p - v. Which is bigger: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 2, s: 1}. Give prob of sequence sp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12802)\/407 + (-608)\/(-19)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 24 + 36 = -737*v - 745*v + 1480*v - 69, 4*d - 39 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1461448 and 1278767.\nAnswer: 10230136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 60. Let s = u - 25. Let n(q) = -q**3 - 4*q**2 - 3*q - 8. What is the tens digit of n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14879041313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 782 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 + 292*i**5 - 17*i**3 - 1673*i**2 + 39*i?\nAnswer: -120*i**3 + 17520*i**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.05 (c) 3\/8 (d) 0.3 (e) -744\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 5 + 17 - (21 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194, 390, 586, 782?\n\"Answer: 196*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21060 - -21061. Do d and 9\/106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1128.000000587 - -1128. Round l to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 42*j - 1. Let c be w(1). Suppose 2*u = -c + 1. What are the prime factors of ((u - 0)\/(-2))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d - 49*d + 18*d + 16*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1329, -2652, -3947, -5202, -6405, -7544, -8607, -9582?\nAnswer: -10457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1300?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 36, 83, 148, 231, 332?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.28 - 0.28. Let n = -53.01 + u. Let i = n - -0.31. What is the third biggest value in -4, -1\/3, i, -2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 111614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 468 = 12*j. Let r(a) = -5*a**2 - 4*a - 3. Let o be r(-2). Let l = o - -33. Calculate the remainder when j is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33 and 0.1039809.\nAnswer: 33.1039809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59535240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 8*p + 2. Let v be y(6). Let w(x) = 3*x**2 + 31*x + 1. Let o be w(-9). Is 16 a factor of 676\/v - (-10)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 204578.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 3. Let v = -0.03 + -0.67. Let d = -0.3 + v. What is the closest to d in 0, l, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171207)\/69751)\/(1\/(-11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7173 + -451844\/63. Calculate the common denominator of -29\/45 and h.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9938, 19883, 29836, 39803, 49790, 59803, 69848?\nAnswer: 79931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/g**(2\/7))\/g)\/g))\/((g*g**(-2\/9)*g)\/g*g)*(g**(-3))**(-49) assuming g is positive.\nAnswer: g**(9293\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5163.881ns to microseconds.\nAnswer: 5.163881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 4 + -2 + 7. Suppose -3*o = -5*i - 31 - 5, 5*i + 1 = -2*o. What is the greatest common divisor of o and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4327, -8688, -13049, -17410, -21771?\n\"Answer: -4361*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543738 is divided by 45310.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 12*x - 10*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 15, 95, 5, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 5, 8, 15, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17 + j**3 - 2*j**3 - 20. Let u be k(0). Let y = 42 + u. Solve 25 = -5*b + y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b + 7. Suppose -2*l - 10 = -4. Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/84 and 64\/195.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:57 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.018 (b) 1\/2 (c) -55 (d) 0 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -f + 14, -12*f - 1 + 26 = -y - 8*f + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(130)*-1*6 - sqrt(130))*-1)\/((sqrt(10) - sqrt(90)*-3) + sqrt(10) - sqrt(30)\/sqrt(108)).\nAnswer: 252*sqrt(13)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 6*f**2 - 6*f - 2. Let a be y(-5). Suppose 32 = -2*p + 34. Sort p, a, -2, 9 in ascending order.\nAnswer: -2, p, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1a54?\nAnswer: -1a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m - 36. Let n be h(0). Let c be 122\/18 + (-8)\/n. Solve 2*v = c - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -348?\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-44)*(1 - -3). Suppose 3*g = 16 - 10. Let a be 19\/4 - g\/(-8). What is the second biggest value in -1\/3, k, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 30. Let v(f) = -f**2 + 5*f - 3. Let m be v(4). Calculate the remainder when ((-37)\/2)\/(m\/(-2)) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 333*r**3 + 2*r**2 + 10*r - 19. What are the prime factors of b(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2232424052287 - -2232424052050.2861090634. Let t = 3.2861064334 - b. Let f = t - 240. What is f rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {l: 1, o: 1, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 62425. Let t(d) = -16*d**2. What is o(t(p))?\nAnswer: 512*p**4 + 62425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4.5*7956\nAnswer: 35802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8604 and 177651090.\nAnswer: 355302180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**2 + 2*c - 5. Let l(a) = 20*a**2 + 3*a - 8. Give 5*l(o) - 8*w(o).\nAnswer: -4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5168)\/(-153) + (-2)\/(-9). What is the greatest common divisor of p and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -280*g + 95. Let d be y(-5). Suppose 15*n + d = -8*n. Sort -2, 4, n, -4.\nAnswer: n, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469668643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*m - 232, -124*m + 20 = -4*o - 128*m + 220 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) 0 (c) 0.134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6 + 508*m**5 + 4*m**2 - 29 wrt m.\nAnswer: 120*m**3 + 30480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11666328*x**4 + 19206603*x**2.\nAnswer: 279991872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/7 + 23214*s**2\/7 - 1540970*s\/7 - 1564182\/7 = 0.\nAnswer: -11673, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*-1)\/sqrt(9))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 3:28 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.64*-11\nAnswer: 62.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4*6)\/((-3)\/(-502)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6))\/sqrt(2) + -3 + sqrt(3) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (15 - (-1 + 13)) + -13.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, 0.2, 19\/13 in decreasing order.\nAnswer: 19\/13, 1, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l + 1100. Let i be v(73). Solve 35*p - 40*p - 4*n = 1, 3*p - 29 = i*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 + w**2 - 6*w - 489. Let i(l) = 13*l**3 - 2*l**2 + 11*l + 979. What is -6*i(z) - 11*r(z)?\nAnswer: -z**3 + z**2 - 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13852 + -182?\nAnswer: -14144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.227862kg?\nAnswer: 9227862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 6 + n**3 - 13.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 919, 920, 921?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 10. Let r be x(6). Is r < 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:21 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q**2 - 7*q + 15. Let v(u) = 8*u**2 - 4*u - 2. Let b be v(-3). Let s = 86 - b. What is the hundreds digit of m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 259*q - 262*q + 4*r + 155622, -5*q + 3*r = -259348. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - (5 - 0)) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -68442 greater than or equal to -205324\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 16*g - 103. Let n be m(21). Solve -3*o + 5*d + 40 = 0, -5*o - 11 = n*d - 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(2\/19)*i**6\/(i**(-4)*i) assuming i is positive.\nAnswer: i**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15124*o + 4*t + 57 = -15123*o, -3*o - 4*t - 53 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10074249 rounded to 3 decimal places?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grw when three letters picked without replacement from {r: 2, b: 1, w: 2, f: 2, j: 1, g: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23478277 divided by 349\nAnswer: -67273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-9207))\/((-19)\/171)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**2 - 24*c**2 + 51*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 278*f**4 + 1259*f.\nAnswer: 40*f**3 + 3336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/(-18*20\/10)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/40 - n**4\/4 + n**3 - 2*n**2 - 2*n. Factor r(d).\nAnswer: (d - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1552)\/60 + (-10088)\/(-388).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21971765 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 47\/10)\/((-12)\/(-50)). Which is the smallest value? (a) 0.3 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {z: 5, j: 12, e: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11788\/(-6)*(23 + (-441)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -15*p**2 - 20*p - 2. Let f(c) = 42*c**2 + 62*c + 7. Let g(k) = -4*f(k) - 11*r(k). Give g(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -5*a - 4*s + 20, 25 = -5*a + 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8459363 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, s: 3, c: 1, z: 5}. Give prob of picking 2 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36155472 divided by -1136?\nAnswer: 31827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1674151.5314 + 1674338. Let q = 227.472 - s. Let g = q - 41. What is g rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 25. Suppose b = 2*r + r. Let v(w) = -w - 1. Determine v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674 at least as big as 2676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 43. Let k be l\/10 + (-176)\/(-80). Let w be 3 + 1 - k\/(-1 + 2). Solve 2*d - d = -w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -45 (b) -18904 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.0055. What is o rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 13*x + 11*x - 38*x + 9*x in the form l*x + b and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 77. Let q = -0.2 - 2. Let v = q - -2. What is the closest to f in v, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 16 - 14, 2*z = 4*n + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 15*x**2 - x + 18. Let k be t(15). Suppose 0 = y + k - 24. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 44296446.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -9*m**2\/2 + 17*m + 126. Let y(r) = 2*r + 2. Let o(u) = -l(u) - 3*y(u). Give o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143976 and 239960?\nAnswer: 719880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 - 6)*(-6)\/(-4). Suppose -45 = -m*w + 9*w. Solve h - w*y = 25, 0*h = -4*h + 2*y + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2054 = 2*w + 8584, -5*t + 3*w + 8163 = 0. Is 70 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbqx when four letters picked without replacement from mqxqbbk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -55959 > 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -n - 10, 0 = -3*n. Suppose 5*u - 90 = 4*b, 3*u = -2*b + 79 - 25. Calculate the smallest common multiple of o and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c - 2*c + 2*c + 2*c + (0 - 2 + 1)*(2*c - 5*c + c) - 2*c - c + 5*c)*(0 - 9 + 0) - 17*c - 12*c + 2*c.\nAnswer: -90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*m + 16 = 0, 6*f + 185 - 209 = -4*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 373, 3, -3\/4?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 803362716*f**6 + 597620883*f**2 wrt f?\nAnswer: 96403525920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2625624 and 1152.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l + 90603 = 1405*l + 199*l - 7042 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueujjiieieeotjei. Give prob of picking 1 i, 1 j, 1 t, and 1 e.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q\/(q\/q**(2\/5))*q))*q))**(2\/131)\/(q**(-1))**(-12\/17) assuming q is positive.\nAnswer: q**(-8098\/11135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1450 = 4*j - 2*p - 1480, p = -4*j + 2915. Suppose 4*c = 9*c - j. Suppose -n = -5*n + t + c, 0 = -t - 2. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1050456*d**2 + 275865502437*d - 551726803058.\nAnswer: (d - 525227)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 20 = 0. Let b = -8307 + 8304. Sort -4, -5, b, y in decreasing order.\nAnswer: y, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -220 + 95 + 6 + 45.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -801 - -891. Calculate the remainder when 449 is divided by j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 + 5*o**2 + 2*o - 31. Suppose -169 = -90*w + 77*w. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -110*c - 18*c + 18*c. What is the greatest common divisor of c and 4383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000205679285 rounded to seven dps?\nAnswer: 0.0002057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28208358*g + 48758839?\nAnswer: -28208358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 588*i - 25780. What is p(-41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-9)\/(-108))\/(3\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339 + 337. Let b be (v - (-3 + 1))\/(18 - 20). Solve 0 = -b*r + 2*r - w - 5, 5*w = -3*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 13*q + 3*q**2 - 12*q - 11*q**3 - 24*q**3 - 9 + 24*q**3 to r*q**3 + y*q**4 + j*q + w + p*q**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-171)\/(-6) + -4)*(1 + 3). What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -30. Suppose -5*i = -i - 736. What is the tens digit of 3\/g - i\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*f + 26\/3*f**2 + 20\/3*f**3 + 24 + 2\/3*f**4 = 0. What is f?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 27. What is z(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i**3 + 987*i**2 + 365*i + 9370. Determine k(71).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*x**2 - 148\/7*x.\nAnswer: -4*x*(x + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.979257216 - 0.082891984. Let j = l - 86.9378451. Let h = -102 - j. What is h rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 54*o**4 + 54*o**4 - 111*o**4 + 358*o**3 + 3*o**2 - 4*o**2 to the form r*o**4 + w + z*o**2 + b*o + h*o**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*t - 68 = 0, 5*v + 5*t - 65 = -0*v. Let h be 18\/(-45) + (-51)\/(-15). Suppose 0 = -h*s - d + 3*d + v, -4*s = d - 3. Solve -c + 6 - s = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 6*2\/(-14)*21\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 64. Suppose 0 = 2*u - 41 - m. Calculate the greatest common divisor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 15*n + 0 - 2*n**2 - 1\/27*n**4 + 4\/9*n**3. Solve i(o) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + 175238 + -19 + 17. Round u to the nearest one thousand.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 5*q**3 + 4*q**3 + 86 + 68.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - u, -u + 15 = 2*t + 5. Solve -6 = 3*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 3. Let h(o) = 3*o + 2. Let f(x) = -10*h(x) - 6*w(x). Let y(s) = 12*s**2 + 231*s + 54. Let p be y(-19). Determine f(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -207\/4. Put -18, -0.3, h in ascending order.\nAnswer: -18, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and -2264.784.\nAnswer: -2263.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/2*-3. Suppose 9*u = 4*u + a + 15, 4*u = -2*a - g. Solve 3*i - u + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6335792777 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 2463 (c) 0.5 (d) -0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12348 = 549*p - 255*p for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*z + 5, 0 = 3*z - 4 + 7. Let d(l) be the first derivative of -2\/5*l**5 + 0*l**2 - 2\/3*l**3 + l**4 + 2 + q*l. Factor d(n).\nAnswer: -2*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -24\/37 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 24. Suppose 4*c - 2 = u. Is 11 a factor of 15\/c*(-20)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**2 + 0*j**2 + 4*j**2)*(324 - 505 + 231 - 37*j**2) to d*j**3 + a*j + i*j**2 + p*j**4 + f and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -6 + 11 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-2)*(-2)\/3. Find the third derivative of -b**4 - b**3 + b**y + b**2 - b**4 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*v - 140 = 0, -b - 2*b = -3*v - 90. What is the remainder when 98 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 956*-4\nAnswer: -3824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.041 + -0.059. Which is bigger: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 5*g**2 + 3*g. Suppose 2*y - 1 = p, -12 = -0*p + 3*p + 3*y. Give a(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-14)*p*p*p*p*p**(2\/31)*p)\/(p**(-4))**(-33))**28 assuming p is positive.\nAnswer: p**(-121464\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 45, 44, 43, 42, 41?\n\"Answer: -z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 291 (b) -0.116 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 - 3*b - 2. Calculate the remainder when 45 is divided by m(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*s - 1605, 0 = -4*g + 2*s - 4*s - 6378. What are the prime factors of g\/304*(2 - (-282)\/(-1))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5520704 millennia in centuries?\nAnswer: 5.520704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2514 + -131?\nAnswer: -2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*h + 92881*a - 92882*a, 2*a - 94 = -7*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13379274 is divided by 3157.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in 4, -1\/2, -18\/275?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d**2 - 3 - 4*d**3 - d**2 - 3*d + 3*d**3 - d**2. Let f be m(-2). Suppose -f*t - 180 = -3*a + t, -a = -5*t - 49. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001907521733 rounded to 5 decimal places?\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-4 - (10 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*a - 5, 5*d - 37*a + 35*a = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309282413959*k - 309282413959*k + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 10*m + 380 = 0. What is the remainder when m is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = o + 33 - 182, -2*s = -3*o + 433. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -236. Suppose -4*j + k = -t, j + 4*k - 41 = -3. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (4\/4 - 4). Let t(p) be the second derivative of 0 + k*p**4 - 6*p + 0*p**2 + 1\/30*p**5 + 0*p**3 + 1\/30*p**6. Factor t(d).\nAnswer: d**3*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1263057964 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922773 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068958787.\nAnswer: 13, 23, 3575113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 52*w**2 + 23*w. Let x(h) = -h**3 - 26*h**2 + 10*h. Give -2*q(g) + 5*x(g).\nAnswer: -3*g**3 - 26*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51\/2 + 25. Let z(f) = f**3 + 5*f**2 + 5*f + 10. Let g be z(-4). Let j be (-21)\/(-45)*(g\/21)\/1. Which is the nearest to -0.1? (a) j (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 4536?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 - (15 - (-6 - -47))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32915.74486 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 4. Let u(r) = -10*r - 10. What is -3*d(o) - u(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(640)*2).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 904*h**4 - h**3 - 11872?\nAnswer: 3616*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103131231013 + 0?\nAnswer: -2103131231013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67362 and 17658.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from jejjjjefjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18277731 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -38*q**3 + 13*q**2 + 13*q - 541. Let v(o) = 6*o**3 - 2*o**2 - 2*o + 90. Give 4*u(j) + 26*v(j).\nAnswer: 4*j**3 + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - 2*n**2 - 8*n**2 + (0*n - n + 0*n)*(2*n + 5 - 5).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3760.\nAnswer: -1\/940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(1*2). Suppose 0 = -3*a - 3, 2*o - 2*a = -p*a + 16. Solve -o = 5*c + w, 4*c = 7*c - w + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35705 and 3330?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 827 - 173. Suppose -4*x - 348 = -h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*q + 4*q. Suppose 11 = p + 4*x, 3*x + 0*x = -q*p + 7. Let o be 1*(-2 + 3)*5\/p. Which is bigger: o or -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 1}. Give prob of sequence xeee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5 + 37. Let a = 8 - l. Solve a = -x - 3 + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -867 greater than or equal to -110.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*k + 175 = -277*k + 751. Suppose -21 = -3*n + 3*q + 9, n = -q + 6. Suppose -7 = -3*l + n. What is the remainder when k is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*b. Let v = 21 + -12. What is the remainder when v is divided by (-3 - b)*(-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:23 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(700)*2 + -5*(sqrt(700) + 0) + (-1*sqrt(700)*1 - (3 + sqrt(700)*-2)))*-5)**2.\nAnswer: 3000*sqrt(7) + 70225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314607373.\nAnswer: 131, 2401583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1981674, -1981654, -1981634, -1981614, -1981594, -1981574?\n\"Answer: 20*z - 1981694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 179 = 4*q - 53, -3*q = h - 184. What is the second derivative of 32*j + 50*j + 31*j**3 + q*j + 42*j - 2*j**4 wrt j?\nAnswer: -24*j**2 + 186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 greater than 36433501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*s**2 + 1 - 1 - 213*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 14. Let f be v(-7). Suppose -47 = -4*j + 3*p, -5*j + 4*p + f = 5*p. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4, -1, 3033 in increasing order.\nAnswer: -5, -4, -1, 6, 3033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -940, -3807, -8584, -15271?\n\"Answer: -955*g**2 - 2*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let z = 2.52 + -2.22. Let s = 2 + -1. What is the closest to s in p, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -499057?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:23 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -216*y**2 - y. Let a(m) = -22*m. Determine z(a(c)).\nAnswer: -104544*c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 31*t**4 + t + 9675*t**2 - 2 - 9674*t**2 + 2*t + 39*t**4 to s*t + m*t**4 + o + y*t**3 + i*t**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 16*o**2 - 5*o**2)*((-4 - 1 + 2)*(4 - 6 + 0) - 1 - 4 - 35) in the form t*o + b*o**2 + l and give b.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -15*i + 650. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + (-6 + -5 - (0 - 26)) + 52\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:26 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 134*o - 1196. Determine r(-25).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -13. Suppose -c - j = -4*c. Suppose 5*u - 3*i = 16, -2*u + c*i - 6*i + 22 = 0. Solve 0 = u*m - 0 - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 3392?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/24)\/((-780)\/(-2730)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.0356631 times -0.05\nAnswer: -0.101783155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001222100 - 2111?\nAnswer: -12002001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0968 and -0.08?\nAnswer: 0.007744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4 + 4 + 10*l + 13 - 9*l. Let k be n(-12). Let d(m) = 11*m**3. What is the remainder when d(k) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, and 2 t when four letters picked without replacement from {t: 3, e: 2, v: 10}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n + 37*n - 5*p + 350 = 0, 38*n - 4*p - 496 + 34 = -8*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -3*l + 4*l, 4*p + 8 = -3*l. Let f be (p\/(-6))\/((-2)\/6). Let x = f + 2. Is 3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*c - 123745140 = 79*c - 96*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63499401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:03 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 12762*c**2 + 9*c + 1700*c**2 - 7*c.\nAnswer: -11062*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4745*i**2*y + 1402595*i**2 wrt y.\nAnswer: -4745*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and -1107.\nAnswer: 52029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -8325371383?\nAnswer: -8325371383.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403 - -408.9. Let a = -3.9 + v. What is the closest to 0.2 in a, -1\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:03 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:32 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 5*x + 4. Let s be u(-5). Suppose 3*w - 5*h + 6 = 0, s*h - 13 = -1. Suppose -w*q = -3 - 36. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 315*y + 16372. Determine v(-52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10895 divided by -10895?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -4, 4, 0 in increasing order.\nAnswer: -5, -4, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 971680 and 874512?\nAnswer: 8745120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 200245?\nAnswer: -200244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 - -2)) + (-65 - -60)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000202220 (base 3) to base 6.\nAnswer: -2313210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 4*k**2 + 22*k**3 + 11*k**2 + 6 + 0*k**3 - 5 in the form n*k**2 + h*k + v + y*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36720 and 48384.\nAnswer: 4112640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -81*o**2\/2 + 5*o - 38. Is q(-1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -31 - k**2 + 14*k + 26*k - 78*k + 26*k. Let u be d(-5). Let m be ((-10)\/u*162\/(-45))\/1. Solve -4*j = 1 - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1416 and 1293.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 678 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 - 109*s**2 - 8*s + 14. Let b(y) = -3*y**3 + 89*y**2 + 8*y - 13. Let m(l) = 5*b(l) + 4*g(l). Determine m(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*h + 6 + 4, -5*j + 4 = 2*h. Solve -h*i + 0*i - 9 = x, i = 2*x + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + z**5\/10 - z**4\/12 + z**3 - 5*z**2 - 273*z. Give u(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((sqrt(208)\/sqrt(4)*2)\/sqrt(4) - (-5 + 0 + sqrt(117))**2) + -2).\nAnswer: -160*sqrt(13) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 82721 + 149. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 5*h - 639. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/486 and -97\/1464.\nAnswer: 118584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 48\/(-418) + ((-27)\/990 - 9\/(-30)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, 0.8, -23.9, -0.1 in decreasing order.\nAnswer: 0.8, -0.1, -23.9, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 3*v. Let n be 5\/(6 - 11)*(-2 + 0). What is x(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 + 464. Let w = -189.9999869 + q. What is w rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -12) + (-1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 8*t - 20. Suppose -4*d - 5*v - 38 = 0, 4*v - 3*v - 5 = d. List the prime factors of b(d).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 894289907 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 27. Let m be n(13). What is the highest common divisor of 160 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j + 12. Let s(x) = x**2 + 6*x - 8. Let n = 14 + -23. What is the remainder when h(6) is divided by s(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 49 = 2*c + 3*k, w*c + 3*k - 30 = 53. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -3 - 1 - 74. Let r = -68 - l. Let o = 2 + 0. Sort o, -3, r.\nAnswer: -3, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let j = 4 - s. Let p be (25\/(-6) + 4)*-3. Is j at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*o**3 + 66*o**3 + 5*o**3 + (1 - 2*o - 1)*(-o**2 + 1 - 1) - 3*o**3 + 5*o**3 + 0*o**3 + 1 - 1 - 3*o**3 + (-o**2 + 2*o**2 + 0*o**2)*(-2*o - 3 + 3).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 4:31 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-12))\/((-17)\/(306\/3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411222722 to the power of 1\/3, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, h: 4}. What is prob of picking 2 l and 1 h?\nAnswer: 72\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759965952?\nAnswer: 2, 3, 19, 52081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*b**4 + 2*b**2*d**3 - 35*b*d**3 + 403*d**3 + d - 7 wrt b?\nAnswer: 184*b**3 + 4*b*d**3 - 35*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 62763435.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3818, -7638, -11458, -15278, -19098, -22918?\n\"Answer: -3820*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1592*m**2 + 7*m**3 - 6*m**3 + 1592*m**2 - 6*m.\nAnswer: m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3132\/10962)\/(71\/35 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 237105414 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 10. Let n = -1 - c. Suppose 5*k - n = 3. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2*w**2 + w**2 + 3*w**2) + 12 + 17 - w**2 + 7 + w.\nAnswer: 3*w**2 + w + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 40 = -24 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.573 - -3.403. Round z to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -892, -1170, -1448?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.942 and 2330?\nAnswer: -23164.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1085 - 573?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -105*n - 1. Let r be a(-1). What is the greatest common factor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.56 (b) -4 (c) 14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -31993, -2, -4 in decreasing order.\nAnswer: 133, -2, -4, -31993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0 - 1\/6*g**4 + 0*g**6 + g + 0*g**5 + 0*g**7 + 0*g**3 + 0*g**2 + 1\/28*g**8. What is the third derivative of y(r) wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15020454 (base 8) to base 10\nAnswer: 3416364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 5*d, -30*d = -31*d - 10*m - 50 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1157 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {x: 1, i: 1, e: 1, o: 2, v: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1088466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 5*x. Let m be p(6). Let j = -4 - m. Find the third derivative of 2*q**2 + 6*q**j - 6*q**2 - q**4 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 3 (c) 1986 (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1025 + 1025.000000551. What is a rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9273064.\nAnswer: 2, 19, 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1071*l**2 + 8565*l + 35. Give d(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -21. Let y = w + -9. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:09 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0 - 1\/14*s**7 + 0*s**4 + 0*s + 0*s**3 - 8*s**2 + 0*s**6 - 3\/20*s**5. Find the third derivative of g(k) wrt k.\nAnswer: -360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 58*x - 397. Determine p(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3995 + 0.4. Round l to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 40. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 = s - 14, -3*s - 2*y = -39. What is the remainder when 29 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 + -15. Let r = k - -11. Round r to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from mmmimimmaiiiimmiiiii.\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*-3 - 2. Let h be 12\/126 - (-2322)\/(-567). Which is the biggest value? (a) s (b) -0.3 (c) h (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/27 (b) -0.0476 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-4)\/6)*-4. Solve s*l = 3*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6 and 49\/766450.\nAnswer: 2299350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110020122000001210 + 10?\nAnswer: 10110020122000001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406282 rounded to the nearest one thousand?\nAnswer: 3406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 2, p: 2, x: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 9*c**2 + 9*c + 1. Let b be j(8). Suppose -l + 8 - b = 0. Let v(z) = -7*z - 1. Is v(l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let d(w) = -w**2 + 6*w + 10. Let j be d(7). Which is the second biggest value? (a) 2\/7 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91116.5 - -91118. Let j = -6.1 + 0.1. Is r bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65644742*t**5 - 2*t - 144858668.\nAnswer: 1312894840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -5*h**2 - 5\/336*h**8 + 0*h**3 + 0 + 0*h**4 + 0*h + 1\/6*h**6 + 0*h**5 + 0*h**7. Solve d(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 48 = -3*u, -2*v = -2*u - 7*v + 15 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z**12)\/(z\/z**(-8))**(2\/57) assuming z is positive.\nAnswer: z**(-367\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153341 (base 7) to base 15.\nAnswer: 8d62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/11))**(-2\/71))**47 assuming s is positive.\nAnswer: s**(-188\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 2*f**2 + f**2 - 15*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1. Suppose 2*h = 7*h - 5*a - 45, 4*a + 20 = 0. Let v = m + h. What is the highest common factor of 8 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306140.\nAnswer: 2, 5, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97600 and 128575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 2*p**5 - 3*p**5 + (-3 + 6 + 2)*(-5*p**5 - 10*p**2 + 10*p**2) - p**5 + 0*p**4 + 0*p**4.\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 - (-3 - -1). Suppose -p*q + k + 8 = -k, -q + 3*k = -4. Suppose -o = -q*o + 12. Solve 0 = -o*r + 7*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 4. Let j = 0.5 + x. Which is the closest to j? (a) 0.4 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.1 - 34.1. Does a = -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9656 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.8 - -14. Round k to 0 dps.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 + 6.14. Let k = g + 0.75. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.7802, 0, 1204.\nAnswer: -8.7802, 0, 1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -766698640 rounded to the nearest 1000000?\nAnswer: -767000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 653790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 28*m**2 + 238*m + 8018. Give l(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 6)\/((-1)\/3). Suppose v*w + 16 = -3*q + 1, 0 = -5*q - 3*w - 15. Let t be q + 2 - 1*-3. Solve 3*z = -4*r - 1 - 3, 0 = -2*z - t*r + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 570964212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 365513 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xthu when four letters picked without replacement from {h: 1, t: 5, x: 9, u: 1}?\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/40 + 11*y**5\/80 + 3*y**4\/32 - 159*y**2. Find x, given that z(x) = 0.\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9305 in -13, 3\/2, 1\/4, -45?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4918 - 7564.\nAnswer: -12482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049503 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, 0.13, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5 + 1287*l**4 + 11663*l**3 + 1377*l**2 - 105046*l + 90720 = 0.\nAnswer: -7, -5, 1, 2, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -5. Let k(y) be the first derivative of -3*y**2 - 10*y + 8. Does 26 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6179 = 3*x - 50922, 5*q - 5*x = 57085. What are the prime factors of q?\nAnswer: 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2798 - -4976. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 220371994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118415887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 45.4. Let f = 77.9 + -82. Let w = p + f. Which is the smallest value? (a) 0.1 (b) -0.23 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 988, 1548, 2112, 2680, 3252?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 25*k**3 - 5*k**2 + 5*k - 5. Let s(o) be the second derivative of 37*o**5\/20 - 7*o**4\/12 + 7*o**3\/6 - 7*o**2\/2 + 2*o. Determine 7*g(t) - 5*s(t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:08 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/18 + 2\/3. Let c(a) = 5 - 5 - a**2 + 4 - x*a. Suppose 4 = -v - k, -v - 4*k + 24 = 16. What is c(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 6\/5. Let o = -14.55 + 14.2. Let r = 0.05 - o. Which is the closest to -0.02? (a) r (b) u (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*i - 24. Let c(q) = 4 + q**3 + 2 - i. Give c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/40 - t**5\/30 + 13*t**4\/24 + 3*t**3\/2 + t**2 + 152*t. Let h(x) = -x**3 - x**2 + 6*x + 4. Determine 13*h(z) - 6*n(z).\nAnswer: 5*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 + 37*q - 24 = 0.\nAnswer: -8, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 + 3 = 0. Suppose 129 = 4*x - 4*z + 5*z, -k*x + 82 = 4*z. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -30*j - 634. Let q(k) = -7*k - 159. Determine 9*q(n) - 2*u(n).\nAnswer: -3*n - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-140) + 16\/60?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 86. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 7, f: 4, j: 1, u: 5, a: 1}. What is prob of picking 1 a, 1 h, and 1 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 18 = -68*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.96 + 26. Let z = 6.357 + -6.4. Let k = z + h. Round k to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -59, 7, 0.03, 2.1, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - 0 - (8 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = -4*d + 399. Calculate the greatest common factor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485646 divided by 2.\nAnswer: 242823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + -0.3. Let g = z + -3. Let p = -128 + 894\/7. Which is the closest to 2? (a) g (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1\/4, -3\/4, -124?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffdlyw. Give prob of picking 1 d and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -422, -411, -406, -407, -414?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:52 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119321 or -119322?\nAnswer: -119322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 64. Suppose 3*t = 2*s - 23, 3*s + 3*t - 2 + 5 = 0. Which is the fourth smallest value? (a) -5 (b) -2\/3 (c) s (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-1\/6)*g*g)\/g)\/g)**(-46)*((g\/g**(4\/13)*g)\/g)\/(g**(-2\/5)*g) assuming g is positive.\nAnswer: g**(-16427\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 2*sqrt(78)*1 + (sqrt(78) + -1*sqrt(78))*-4)\/(-6*((sqrt(480) - sqrt(30))\/sqrt(5) + sqrt(6))).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114023422 (base 5) to base 6.\nAnswer: 15231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.0218 - -0.0782. Let t(y) = -y + 1. Let h be t(1). Which is the closest to h? (a) 3\/5 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 29 - 5*m - 111.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l - 1. Let k be n(6). Let g = -11 + k. What is the least common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 d when three letters picked without replacement from {d: 2, q: 5, f: 5, l: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2 - -2)\/((-200)\/160)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/11 + 216*z**4\/11 + 94*z**3 + 372*z**2\/11 - 4168*z\/11 - 4944\/11 = 0. What is z?\nAnswer: -103, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 15 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 2226?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*l = -0*s + 38, 3*s - 58 = l. Let i be (1 - 6\/8) + (-123)\/12. Let y = i + s. Solve -3*j = -4*o + y, 4*j + 2 = 5*o - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3759 and -73\/104715?\nAnswer: 733005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -456, -899, -1316, -1695, -2024?\n\"Answer: 2*a**3 + a**2 - 460*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r*r*r**10))\/r))\/(((r**(-2\/7)\/r)\/r)\/r)*r\/(r\/(r**(-2\/17)\/r))*r*(r**11\/r*r)\/r)**(2\/53) assuming r is positive.\nAnswer: r**(6228\/6307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 6. Let u be s(7). Solve 0 = -6*k + u*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.24, 25\/8, -5, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 0.02 (c) 33.876 (d) 3\/2 (e) -10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**2 + 5*p - 9. Let u be j(2). Suppose -2*b + 5*b - u = -n, -3*b = 2*n - 152. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 68\/9, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*v**2 - 800*v**2 - 808*v**2 + 2411*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 8*l**2 + 7*l - 8. Let g be a(-9). Suppose -4*h = -g + 2. Suppose 50 = x + 2*z, 0 = -5*x + h*z + 3*z + 325. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.422 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120 or 835\/7?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3201281 is divided by 1600633?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = b. Let r = 3 + b. Let f(m) = 2*m - 19. Calculate the smallest common multiple of f(r) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 2*q. Let z(l) = 2*l**2 + 2*l + 1. Give -3*x(f) - 2*z(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.8 - 35.4. Which is the nearest to -24? (a) -0.3 (b) f (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 449959, 899997, 1350031, 1800061, 2250087, 2700109, 3150127?\n\"Answer: -2*m**2 + 450044*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 95. Suppose -7*r + 3*r = 32. Let n = f + r. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/3, -1 in decreasing order.\nAnswer: 7, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2530988 and 36\/8225711?\nAnswer: 32902844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6, 33 = 3*t - 5*s - 14. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g**2 + 10*g + 7. Let k be n(-5). Suppose -4*z + 5*l + k = 0, 0 = -0*z - 5*z - 5*l + 585. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 45372220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0.3 (c) 2\/81 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) -0.1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11517 - -16542. Let y = w + -5120.86. Let u = -95 - y. What is u rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d. Let b(k) = -56*k. Let s(a) = 6*b(a) + 68*o(a). Let i(f) be the first derivative of -3*f**2\/2 + 289. What is i(s(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 2526066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:31 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 + 1\/3*v**3 - 19*v**2 - 1\/24*v**4 + 1\/20*v**5 + 0*v - 1\/120*v**6. Let z be p(3). Sort -4, 5, z, 4.\nAnswer: -4, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246654704 - -30?\nAnswer: 246654734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f + 15 = 0, 3*x = 5*f + 60. Let m = -5 - -11. Suppose 4*a + 4 = 0, a = 2*t - m*t + 59. What is the highest common divisor of t and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*g - 60 = -0*n, 0 = 3*n + 2*g - 50. Calculate the highest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1770, -7315, -16558, -29499, -46138?\n\"Answer: -1849*n**2 + 2*n + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajajggcctcvajaaaja. What is prob of sequence atvc?\nAnswer: 7\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1166052032 and 1088?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**3\/3 - 107. Let m(h) = 11*h**2 + 11*h**2 - 4*h**2. Calculate r(m(p)).\nAnswer: -648*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*m - 648 = 168*m. What is the remainder when 188 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i + 2*i**2 + 14*i + 13*i.\nAnswer: 2*i**2 + 60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.95 - -0.05. Let n = -130999 + 130986.0006. Let k = n + z. Round k to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50638003 is divided by 12669.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58914 (base 16) to base 10.\nAnswer: 362772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 6. Let l be i + 11 - 10\/5. Suppose l = -4*q + 95. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, e: 1, j: 4, f: 4}. What is prob of sequence ej?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*m + 1277*m = 10311 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m. Let c(a) = 98*a. Calculate c(k(x)).\nAnswer: 1568*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 7*c + 21. Let g be d(10). Let h = g - -59. Which is bigger: -51 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-15))\/n**(-25)*n**(5\/7)*n*(n*n**1)\/n assuming n is positive.\nAnswer: n**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0)\/((-153)\/(-34)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:05 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 + 182*m. Let v(d) = 4*d**3. Suppose -5*s + 17 = 3*y, -2*y + 2*s = s + 6. Calculate y*v(f) + 2*c(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43\/(-4)*-14019 + 4\/(-16). Suppose -4*h + r = -180896. What is h rounded to the nearest one thousand?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 0 = -5*y - i + 17. Solve -2*t - 1 = -y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 + 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181123, -181120, -181115, -181108?\nAnswer: -181099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxbx when four letters picked without replacement from {g: 1, x: 11, b: 6}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*v + 2*v + 2, -3*v - 3 = 0. Let u(b) = b**3 + 12*b**2 + 14*b + 65. Let g be u(-11). Let c be 1*4 - (g + -32). Solve x*a + c = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32114 < 32307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-28)\/(-13))*-4 - 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0*j**2 + 0*j**3 + 0 + 0*j**5 + 1\/10*j**6 - 3*j + 1\/4*j**4. Find the third derivative of f(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304557078 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3637424 and 4157056.\nAnswer: 29099392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3283.399 centuries to decades.\nAnswer: 32833.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 40146468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 28 = 2*p. What is the highest common divisor of p and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49 (b) -1 (c) 1230 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*l**3 + 1090*l**3 - 4501*l**3 + 1098*l**3 + 1224*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) -0.16 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqttqftttttqkfvq. Give prob of sequence kt.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1489 - -1521. Let i(w) = 575*w**2 + 1. Let s be i(-1). Calculate the greatest common factor of s and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**4 + 71*h**2 - 201 wrt h?\nAnswer: 8*h**3 + 142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/2 - 16*z**3\/3 + z**2\/2 + 12*z - 168. Let c be n(-8). Solve 0 = c*y + 5*j + 4, 0 = -2*j - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1075953, -2151934, -3227939, -4303968, -5380021, -6456098?\n\"Answer: -12*n**2 - 1075945*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 109*o + 91 = 1. Solve -10*d + x = -13*d - 2, -d - 3*x = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4451 is divided by 4403.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*t**4 + 0 + 100\/3*t**3 - 112*t**2 + 0*t.\nAnswer: -4*t**2*(t - 21)*(t - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + 1053\/45. Suppose 3 = p - n, 5*n + r = -p - 2*p. Put p, 5, 1 in descending order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) - (64\/(-28) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2728.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, p: 2, g: 2, s: 1, z: 1}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -4, -2 in increasing order.\nAnswer: -4, -2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 174.9 - 14155.45\nAnswer: -13980.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72591, 72874, 73157, 73440, 73723?\nAnswer: 74006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170630.\nAnswer: 2, 5, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -21212?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 - -749. Let p = 3965\/11 + x. Factor -162\/11*b**3 + 36*b**2 - 152\/11*b + p.\nAnswer: -2*(b - 2)*(9*b - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 47334, 33 in ascending order.\nAnswer: -1\/8, 33, 47334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3 + 21. Suppose 4*m + u = 7*m. Solve m*w + 3 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2988 rounded to one decimal place?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-2*sqrt(3)*2).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 11\/(-4))*(-9373)\/2163?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19628 is divided by 2402?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 7*v - 2*v. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 10.3. Let p = w + -19. Let v = 27 + p. Which is greater: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*h - 30, r + 20 = -4*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 + -4392?\nAnswer: -4479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a*i**5 + 524*a*i**3 + a*i**2 - 1381*i - 2 wrt i?\nAnswer: 840*a*i**2 + 3144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) + (-6)\/8. Let a = -280\/3 - -93. What is the nearest to n in 1\/8, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -114*n - 123*n + 254*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3936 - 3782. What is the remainder when 319 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15616 and 451888?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -378833 (base 9) to base 12\nAnswer: -b0a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/3 (b) 5 (c) -0.4 (d) -7 (e) -0.1 (f) -3\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524478, -1524568, -1524720, -1524934, -1525210, -1525548?\nAnswer: -1525948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -16 + 76\/(-95)*(-1170)\/72?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-70))\/((-5)\/(-35)*(-10)\/2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:26 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/936 and 31\/309712.\nAnswer: 2787408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215694 is divided by 19608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 - (-10)\/(-6). Let v = -0.3 - 0.7. Let z = 6 + -5.5. Which is the closest to -0.2? (a) z (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 24*o**2 - 40*o - 87. Let z be s(22). Which is the nearest to -6? (a) 2\/19 (b) z (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*y - 8. What is the smallest common multiple of 14 and (-52)\/y - 2\/(-3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/80 and -73\/24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 2*r + 5*t, 4*r - 5*t + 202 - 191 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 228 = 2*w. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**18\/(x*(x\/(x\/(x*x**(-1\/9)*x)))\/x*x))**(1\/5))**31 assuming x is positive.\nAnswer: x**(4216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a. Suppose -4*i + 10 + 34 = a. Suppose i = -z + 2*z. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12955 + 13039. Solve 0 = -4*k + n - 56 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 + 2*n**3\/3 - 11*n**2\/8 + 3*n\/4 - 347. Let y(l) = 0. What is l?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137 + (278 - 293 - ((4 - 2) + -2)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 164418029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*k**3 - 39*b**2*k**2 - 2*b**2*k + 5220927*b*k**3 - 29593*k wrt k?\nAnswer: 12*b**2 + 31325562*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 384000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Let h = -0.3 - -0.2. Let k = h - 0. Which is the closest to k? (a) -2 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17450518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3145, -8700, -14253, -19810, -25377, -30960?\n\"Answer: -g**3 + 7*g**2 - 5569*g + 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 34, 32?\n\"Answer: -2*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 3156*f + 9495.\nAnswer: -3*(f - 1055)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1427698 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5700242 to the power of 1\/2, to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1140)\/(-135))\/19)\/(1\/(-36))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-24))\/(21\/35))\/((-9)\/(-18))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 + 2437*k**2 - 2434*k**2 - 283.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*f - 41779, 2*f - 98980 = -5*r + 5515. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 39. Let x be l(-9). Let g(f) = f**3 - f**2 + 3*f + 2. Let a be g(-2). Let w = a - x. Solve 1 = w*r - 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 smaller than 349759.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-90) - ((-94)\/(-18) + -5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 62*d = -119*d + 123600. What is the smallest common multiple of 55 and d?\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from iiiiccciii?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:01 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 35*s + 20. Let o be q(8). Let b = 4622\/5 - 925. What is the closest to b in o, 5, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 1, u: 2}. Give prob of picking 2 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5 + 13397*c**4 - 334291*c**3 - 122677*c**2 + 31141076*c + 30916064 = 0?\nAnswer: -8, -1, 17, 13372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1630\/((-10)\/100*-5). Suppose -31*y = -41*y - f. Is -325 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885829132?\nAnswer: 2, 17, 883, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/153 less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -11)\/(8\/12). Is -13 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 218667, 437337, 656007, 874677?\n\"Answer: 218670*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 5)*-1*-3 - ((-2*sqrt(32) + -3 + sqrt(32) - (2*sqrt(64))\/sqrt(2)) + -5).\nAnswer: 23 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*y + 75. What is the third derivative of -13*h**2 + y*h**5 - 2*h**2 + 0*h**4 - 4*h**4 - 2*h**2 + 1 + h**2 wrt h?\nAnswer: 180*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 10*k + 9. Let q(p) = 3*p**2 - 9*p + 8. Calculate -6*c(w) + 7*q(w).\nAnswer: 9*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*v - 30 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 326773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2255016 is divided by 1876.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067112433 to 7 dps.\nAnswer: 0.0006711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -1\/60*q**5 + 0 + 1\/18*q**3 + 1\/90*q**6 + 0*q**2 - 1\/36*q**4 + 8*q. Factor i(t).\nAnswer: t*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - (-4)\/1. Suppose 5*d = -2*j + 14, 4*j + 61*d - 59*d = 12. Let -9*f + 2*f**j + f**2 - 3*f**w + 3*f**2 = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.49852 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15233523.\nAnswer: 3, 127, 39983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + 1\/((-3)\/(-6)). Let m = 4 + r. Suppose m = 5*c - 32. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/25)*f*f**13*f*(f*(f\/(((f*(f\/(f*f\/(((f*f\/(f\/(f\/((f\/(f*f*(f*f*f\/(f*f**20))\/f))\/f)*f)))\/f)\/f)))\/f)\/f)\/f))\/f)\/f*f**(-10) assuming f is positive.\nAnswer: f**(598\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 14*z - 9*z - 2360, -2*z - 2917 = -5*y. What is the remainder when y is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 651 divided by -21\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*v = 890*v + 121*v + 12197 + 18267 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/44 and 37\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2\/2 - 363*p + 2151\/2 = 0.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 2 d when four letters picked without replacement from {b: 1, i: 3, y: 5, d: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let h = -6489 + 6489. Let k(u) be the third derivative of 21*u**2 + 0*u + 0*u**3 + h + 1\/3*u**4. Give z(k(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9 - 12.2. Let p = -4 - w. Let j = 0.1 - 0.2. Which is the closest to j? (a) -3 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 64. Find the common denominator of 1\/(-4) + 47\/36 and (-15)\/9 + 2 + x\/(-135).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5383.987865 + 5384. What is j rounded to four decimal places?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**2 + 14*g**2 - 16*g**2 - 39*g**2.\nAnswer: -66*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-30) - 306516\/(-120). Suppose 0 = -56*y - z - 1142. Is -64 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m + 3*m - 2*m - 2*m. Let z(s) = 4*s + 5. Let o(v) = 24*v**2 - 24*v - 30. Let k(b) = o(b) + 6*z(b). Give w(k(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put 83, 3, -15, 6 in decreasing order.\nAnswer: 83, 6, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 2 - 202*b**2.\nAnswer: -202*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(200)) + 1)**2*6.\nAnswer: 8400*sqrt(2) + 31176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 9. Let t be x(6). Let p be (10\/t)\/(1\/(-3)). Find the third derivative of 7*n**p + 0*n**5 + 7*n**6 + 0*n**5 wrt n.\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640194527*w**2 + w**3 - 1280389060*w**2 + 640194533*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 855645 + -133151.\nAnswer: 722494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254 = 303*k - 284*k. Calculate the remainder when k is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + 17. Let s = j + 59. Which is the biggest value? (a) s (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486955010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) - 300\/175. What is the nearest to p in 0.5, 8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8258, -16554, -24906, -33320, -41802?\n\"Answer: -s**3 - 22*s**2 - 8223*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujzzg. What is prob of sequence zju?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8316757 - -76.44\nAnswer: 8316833.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 583, 2233, 4917, 8635, 13387?\n\"Answer: 517*f**2 + 99*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -34*f - 181. Let l be 15*((-196)\/21 - -9). Determine s(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 0, 0 = -3*z + 5*z + m. Suppose 1028 = 2*t + 2*t + 4*g, z*t - 526 = -5*g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.6 - 6.93. Let y = -3.67 + s. Which is the nearest to y? (a) 3 (b) -3\/8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -822\/7. Let i = -30160.4 - -30160. Which is the smallest value? (a) f (b) i (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -1\/6, 11.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8337?\nAnswer: 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10. Let w = h - 3. Let j = 0 - w. Which is the smallest value? (a) -3 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (0 + (-3)\/9*0). Let t be (-3 - o) + 0 + 3. Suppose t*m - 5*f + 51 = 6*m, -2*m - 4*f + 24 = 0. Calculate the smallest common multiple of m and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.735491 rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689.4093859 rounded to the nearest ten?\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 f when three letters picked without replacement from {x: 1, f: 1, y: 1, e: 2, z: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3795 is divided by 296?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39711 at least as big as 39716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 1158*w + 35174. Calculate d(-255).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 4373049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -345*x**2 + 6*x - 6. Let d(i) = -286*i**2 + 5*i - 5. Let p(o) = -6*d(o) + 5*u(o). Let z(b) = -99*b. Give z(p(c)).\nAnswer: 891*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 78*m**3 + 1014*m**2 + 6132*m + 79732. Calculate h(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35128 - -0.35. Round y to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8718261.724 from 3.9246.\nAnswer: -8718257.7994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-7)*14*3\/(-12). Let r = 40 + y. Suppose 0 = -5*z + 44 + 26. What is the least common multiple of z and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/40 - -1*44\/10. Suppose -5*n + 2*f - v = 3*f, 3*n - 3*f = 12. Suppose -2*z = -3*c + 88, n = -3*c - 3*z + 123 - 30. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 1 = 3*l, -2*l + 2 = 2*o. Let z(i) = i**3 - 11*i**2 + 30*i - 13. Let n be z(7). Is n < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11018*-0.2.\nAnswer: -2203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-35))\/(-1))\/((-205)\/(6150\/114))\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/17 and 21\/3736414.\nAnswer: 63519038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 12) in base 3?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5601.9 + -5602. What is the closest to 2 in -3, n, 2\/3, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y + 1128 = 21*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1900) - (sqrt(1900) + 0)) + -2 + sqrt(114)\/(sqrt(726) + (sqrt(726) - sqrt(726)*-2) + sqrt(726)))**2*-6.\nAnswer: -114\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + 7*d**3\/6 - d**2\/2 + 20*d - 2. What is i(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/24 - a**3\/3 - 2*a**2. Suppose 5*h - 24 = 2*r, 7*r = -2*h + 3*r. Is k(h) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59880, -59878, -59876, -59874?\n\"Answer: 2*a - 59882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -22. Let g(s) be the second derivative of 1\/24*s**4 - 1\/12*s**3 - 1\/2*s**b + 3*s + 0. Let g(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, -2*f = f + 5*s + 11. Which is the third smallest value? (a) f (b) -4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 552833455 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s + t, -4*s + 0*s = 3*t - 7. Let u(h) = -h**3 + h**2 + 3*h + 1. Is u(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*w - 362*w**2 - 360*w**2 + 724*w**2)*(w + w - 3*w)*(92*w - 69*w - 86*w).\nAnswer: 126*w**4 - 6489*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20750, 20721, 20688, 20651, 20610, 20565?\nAnswer: 20516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(3410\/(-248)*(-14)\/(-154)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35169)\/3085*1*(-15)\/9\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431867, -4, -3 in decreasing order.\nAnswer: 431867, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by -395.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95)\/304*8*(-16)\/(-60). Suppose -5*f = -5*d + 15, 0*f - 17 = 5*d + 3*f. Sort 0.41, d, o.\nAnswer: d, o, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67916293 to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66880230*m - 35484063 with respect to m.\nAnswer: 66880230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 7*y**7\/3 - y**6\/30 + y**4\/12 + y**3\/6 + 171*y + 2. Find the third derivative of q(a) wrt a.\nAnswer: 5880*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -51*d**2 - 57*d**2 + 193*d**2 - 59*d**2. Let x(i) be the second derivative of -i**3\/6 + 6*i. Give x(f(w)).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 2\/13 (b) 6\/7 (c) -2\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1543*i + 79725. Calculate l(52).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4\/7, 43, -0.04, -77\/25 in decreasing order.\nAnswer: 43, -0.04, -2\/7, -4\/7, -77\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349.8 + -303. Let l = k + -243.8. Let o = 197.079 + l. Round o to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310608 and 1764.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 1}. What is prob of sequence ooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101060 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 9*w**4 - 309*w**3 + 1186*w**2 - 416*w - 1920 = 0.\nAnswer: -1, 8\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 1 - a)*(-78 - 30 + 14).\nAnswer: 94*a + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4877 (base 11) in base 10?\nAnswer: -6376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1411*z - 469*z - 484*z - 481*z. Let o(j) = 2*j**2 - 18. Determine c(o(r)).\nAnswer: -46*r**2 + 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and (-3)\/((42\/420)\/((-6)\/10)).\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*d*k**3 - 379*d*k*r + 8*d*k + 404*k**3*r + 27*k**3 + 4 wrt r?\nAnswer: -379*d*k + 404*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/1 + (-128145)\/(-165) - 32\/(-88) is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 18 + 14. Suppose 4 + t = 3*a. Let j(d) = 8*d - 8. Calculate the remainder when j(a) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/8)\/((-8)\/32)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1004 + -1003.9. Let i = 17420\/2955099 - -2\/9037. Let k = -208\/1635 - i. What is the smallest value in -5, v, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yytottytythot. What is prob of picking 1 o and 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5504236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 6 = 4*d - 5*t, 17 = 3*d - t. Suppose d = 7*h - 8. Solve 12 - 4 = h*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1 + h + 1. Let f(l) be the third derivative of 0*l**3 - 12*l**2 + l - 1\/6*l**4 + 0. Calculate m(f(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/120 + ((-3276)\/(-270) - 12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 57719*r + 57719*r. Let x(o) = -o + 1. Let p(u) = 4*u - 6. Let v(f) = -2*p(f) - 12*x(f). Calculate v(l(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006264 rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 12619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15856492.\nAnswer: 2, 3964123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z + 1. Let s(y) = 3*y**2 + 3*y - 25. Determine -d(f) + s(f).\nAnswer: 2*f**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 15*m - 25 = 120, 2*m + m = -27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**7\/120 - 3*a**6\/160 - a**5\/120 + 18*a**2. Factor z(q).\nAnswer: -q**2*(q + 1)*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**2 - 37*n + 0 - 1\/3*n**3. Let a(k) = 11 - 7*k - k - 2*k. What is 2*a(q) - 11*f(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 - 15*q - 13. Let f be z(-6). Let t = -28 - f. Let -4\/11*i**t - 2\/11*i**2 + 0 + 2\/11*i**4 + 4\/11*i = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -18*x - 15. Let i(g) = -287*g - 245. Let l(d) = 3*i(d) - 49*r(d). Calculate l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 + (-19920)\/(-384))*-168?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310872, -310875, -310878?\nAnswer: -310881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36338 = 4*a, a - 3*m - 20 = 9072. Let c = -276311511437\/30396850 - 4\/1381675. Let d = c + a. Find the common denominator of d and -101\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {l: 2, n: 7, z: 1, t: 1, y: 2, b: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-63))\/(15\/(-210)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1078, 1070, 1062, 1054?\n\"Answer: -8*a + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -47. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -32*m**7\/3 + 330*m**3 - 6*m**2 + 25*m + 2. Find the first derivative of b(w) wrt w.\nAnswer: -8960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - b**2 - 2*b - 1. Let v be j(-1). Let p = v + -3. Let d = p + 11. Is d at most 17\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48952.8nm to meters.\nAnswer: 0.0000489528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13005)\/(-1020)*8\/(-6). Let r = 0 + -0.1. Let l = 0.1 - -0.4. Which is the nearest to 1\/2? (a) l (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 5*o + 1. Let v be u(-4). Let f = v + 19. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or -48?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31316 + 4?\nAnswer: -31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62927430220 plus -179?\nAnswer: 62927430041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 + 0.2. Let n = -1.08 - -5.08. Let l = n - g. Sort 0.1, -2\/3, l.\nAnswer: l, -2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(1*sqrt(64) + sqrt(64)) - sqrt(64))\/sqrt(4))\/(sqrt(40)\/(sqrt(25)\/sqrt(5)*-1)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-96) - 5\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkjzzzzzzjzzjkjj. What is prob of picking 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.2. Let n = 0.039461 - -0.160539. What is the closest to a in -1, 1, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794142 to the power of 1\/2, to the nearest integer?\nAnswer: 4218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 4. Let i(m) = -2*m + 5. What is 3*i(d) + 2*x(d)?\nAnswer: -2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) -7 (b) -0.5 (c) -0.6 (d) 7 (e) 0.53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 5\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 110*p + 41*p - 34 + 81.\nAnswer: 151*p + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0133765423*3\nAnswer: 0.0401296269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16214190 to the nearest 100000.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + 958*s - 3852. Let p be f(4). Calculate the greatest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/143460 and 17\/28692?\nAnswer: 143460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 957794082 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1343*k - 32239. What is i(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**2 - 2*p. Let l(y) = -5*y. Let c(o) = 2*o. Let r be (80\/(-15) + 4)\/(8\/(-6)). Let t(i) = r*c(i) + l(i). Give t(s(q)).\nAnswer: 33*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4. Suppose -6 = 3*p + 2*p + n*q, -3*p + 3*q + 18 = 0. Suppose 0 = f + 3, -5 = -p*b - 5*f + 24. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = -2. Let l = -8 - -8. Sort l, b, 0.5 in descending order.\nAnswer: 0.5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77621.93 decades?\nAnswer: 776.2193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15201155 and 2920.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4004 and 56?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -39.9. Let w = 4.4 - -33.6. Let a = w - o. What is the biggest value in -7, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**5\/20 + g**4\/8 - g**3\/3 - g**2\/4 + 3*g\/4 + 19. Factor j(b).\nAnswer: (b - 1)**2*(b + 1)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -36276*j - 2539339. What is g(-70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from llsslgsggglllls?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 43093 = -43013 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 5. Let t = -179\/4 - x. Is -0.06 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from {u: 4, i: 1, o: 3, v: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 117612411.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z - 8*z + 31*z)*(1 - 5 + 3 + (4 - 3 + 1)*(2 + 1 - 1)).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -18*s + 28. Let m be u(2). Let c = 28 + m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 4. Let q be w(6). Suppose -g - 5*c + 1 = 0, 2*g + 3 = -4*c - c. Let j = g - -6. Solve -s - q = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (4 - 4\/(-12)). What is the third smallest value in 1, s, -7, -6\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 3*z - 107. What are the prime factors of j(-12)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 44\/16. Let x = 1 + d. Let a = 0 + x. Let o(g) = g + 2. What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 183053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20291688 and 121878.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27391*q**2 + 13695*q**2 + 13695*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/20)*b\/b**(-13)*b assuming b is positive.\nAnswer: b**(297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p. Let a(o) = 15*o + 4 - 11*o - 4. Give b(a(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1726 from -3.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 7*z + 2*a = 118, 0 = -3*z + 5*a + 121. What is the smallest common multiple of z and 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -3*h. What is the units digit of -4*19\/h*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-30)*3 + (-1846)\/(-10). Let n = m - 125. What is the highest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/3 - 136*v**3\/3 + 408*v**2 - 3776*v\/3 + 3712\/3 = 0 for v.\nAnswer: 2, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026d5 (base 14) in base 3?\nAnswer: 12001222011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p*p*p)**23*(p*p*p**0\/p*p)**(-41) assuming p is positive.\nAnswer: p**(-213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -18. Let d = y + 43. Let x be (-116 + d)*((-6 - -4) + 7). What is x rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2557447504 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 + 6*t + 1. Let m be n(-9). Calculate the common denominator of (-361)\/84 - 8\/m and 29\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 454*y\/7 - 452\/7.\nAnswer: -2*(y + 1)*(y + 226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 + 2*h**2 - h. Let d be w(1). Suppose 4*n + d = 26. Suppose n*p - 4*u = u - 1, 4*p = 4*u. Calculate the smallest common multiple of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + 0*p)*(9 - 11 - 14)*(p**2 - 107 + 103 + 0*p - p).\nAnswer: -32*p**3 + 32*p**2 + 128*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppppppppppqppqp. What is prob of picking 2 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 3*l - 2*s - 2*s, -177 = -3*l - 3*s. Let z = l + -55. Which is the nearest to z? (a) 1\/3 (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2) + 14 + 0. Suppose 0 = 4*x - 6*x + z. Suppose -x*a + 12*a - 354 = 0. Round a to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/30*(-54)\/(-4). Let d be 19\/b + 20\/(-90). Let s be ((-2)\/5)\/(4\/40). What is the second biggest value in 2\/13, s, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35057.29 nanometers in centimeters?\nAnswer: 0.003505729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*30\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 1634?\nAnswer: -1634.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-4231280\nAnswer: -2961896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 0 + (32 - 42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 306354603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g. Suppose -2*u = u - u. Suppose -8*k + 23 + 529 = u. Calculate the remainder when k is divided by h(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779947, 779959, 779987, 780037, 780115?\nAnswer: 780227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 491 in decreasing order.\nAnswer: 491, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x\/x**(-15)))\/x*x)\/x*x)**(7\/4)\/((x*x**31)\/x*x*x**(-12)))**(-2\/31) assuming x is positive.\nAnswer: x**(89\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, t: 5, r: 1, b: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, y: 1, h: 2, w: 1, s: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 2\/(4\/(-2)). Let h be ((-7)\/(105\/(-230)))\/((-6)\/9). Let c = h + 45\/2. What is the closest to g in -0.2, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -4, -0.5, 1\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 5634*w + 50463.\nAnswer: 3*(w - 1869)*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(26))\/sqrt(2) - (5 + sqrt(117))) + sqrt(65)\/(sqrt(10)\/sqrt(2)) + (sqrt(637)*1 - sqrt(637)).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose 15 = n*u + 3*t, 0*u = -3*u + 3*t - 15. Solve u = -6*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*n - 25, 67 = -4*h + 2*n + 77 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -0*k + 5*k + 2*r - r, 48*r - 374 = 5*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.008 + -0.008. Let z = 22 - y. Put -2\/17, 9, z, -0.4 in descending order.\nAnswer: 9, z, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*h, -h = 4*h + 3*q. Suppose h = -o - r + 1, r + 9 = o. Let c be o - (3 - 2)*2. Solve -c = 5*p - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-24) + 3\/(-4). Which is the nearest to -0.4? (a) l (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 86 = -3*g. Let m = 126 - g. Suppose -3*r + 156 = -3*n, -r - 3*n + m = -0*n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**4\/12 - 63*j**2. Let c(l) = -143*l**3 + 2*l**2 + l. Let o be c(-1). Let m(u) = o*u - 36*u - 80*u. Determine m(y(s)).\nAnswer: 56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by -81007.\nAnswer: -145\/81007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*a**3*q - 2*a**2 - 778*a*q**2 + 2*a + 129*q**2 - q + 470 wrt a.\nAnswer: 75*a**2*q - 4*a - 778*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrdrrrrrrrrrdrrr. Give prob of sequence dr.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -12, 18, 68, 144, 252, 398, 588?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from mnnhhnmm.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/((-14)\/1659) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*n = 22, -z = n + 3 - 7. Let v(s) = 2*s + 4. Let f be v(-8). Let m be -5*f\/(-20)*-1. Solve 13 = -z*h - m*l, 2 = -l - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -997*d**2 + 150*d - 23. Let z(w) = -3986*w**2 + 599*w - 99. Let g(p) = -9*a(p) + 2*z(p). What is the second derivative of g(f) wrt f?\nAnswer: 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -834.308 - -47.388. Let s = 544.39 + l. Let h = -241 - s. Round h to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213472320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13302220123 (base 4) to base 10.\nAnswer: 2042395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -547, 16844?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 878317 or 878333?\nAnswer: 878317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*x - 26*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 85*a + 176. Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 2. Suppose -10 = -2*w - 2. Suppose 4*a - 12 = w*h, -4*a - a = -25. Suppose -m - 7 = -5*i, 4*i - h = -m - 0. Calculate g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, -1, -16, -33?\n\"Answer: -h**2 - 10*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, -1069, -6, -3 in descending order.\nAnswer: 28, -3, -5, -6, -1069","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 11392.\nAnswer: 5\/2848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t - 4. Let k(d) = -2*d + 4. Let l be k(5). Let q be 4\/(-3)*l\/4. Let o be (-54)\/(-12) - 1\/q. What is n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483454 and 96932527?\nAnswer: 193865054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30*-1 - -1)\/(-1). Let q = o - 16. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 25. Let p be i(-8). Suppose 5*d - 20 = -4*s + p, 0 = -5*d + 3*s. Find the common denominator of 75\/32 and 8\/d*135\/220.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 17, t: 1}. Give prob of sequence taaa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53\/3 (b) 762\/11 (c) -0.5 (d) 0.39 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 0.2, -7, 5, 0.1, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 388, 1360, 3262, 6406, 11104, 17668?\nAnswer: 26410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -0.3. Let t = 0.07 - -12.93. Let l = 12.7 - t. Sort z, l, -0.4 in increasing order.\nAnswer: -0.4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 19)*(-15)\/(-50)*(-14)\/(-21)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.64 or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*m - 82*m - 1456. Let r = -360 - m. Let u = 4 - 5. Which is the biggest value? (a) -2 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3923 is divided by 641.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.228968 rounded to one decimal place?\nAnswer: 567.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237809*s**3 - 1012988*s**2.\nAnswer: -1426854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1343.2 + -1542.6. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g - 19 = 0. Let l = g + 13. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -178, -244, -296, -334, -358, -368?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 5. Let v = -986 - -993. Let o(l) = -2*l - 2. What is v*o(k) - 3*h(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 34.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8 times -32?\nAnswer: -409.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7)*1*-6 - sqrt(63)\/sqrt(144))**2)*3*-2.\nAnswer: -13269\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100101101000011001 (base 2) in base 8?\nAnswer: 3455031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 57. Calculate the lowest common multiple of 7 and (-7 - t)\/((-12)\/42).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 364 - 360. Suppose -28 = -f*o - 28. Solve 5*r - 15 = -o*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122012 - 12?\nAnswer: -122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -1.3. Let o = g + -0.5. Which is the biggest value? (a) -1 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376045499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 122299, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 18 = -12*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8052369 is divided by 4025982.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 16612*z**2 - 16612*z**2 - 23*z - 4 + 23*z.\nAnswer: -9*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/7 - 8502*l\/7 - 4196340\/7 = 0.\nAnswer: -3681, -570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -12) + 1 + -9 + -2 + (-44 - -3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 68. Let h(y) = 4*y**2 + 4*y + 2. Let m(i) = -7*i**2 - 6*i - 3. Let j(n) = 3*h(n) + 2*m(n). Give j(k(s)).\nAnswer: -8*s**4 + 544*s**2 - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 v when four letters picked without replacement from {v: 10, q: 4, s: 1, c: 4}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/8 - 4173*w\/8 - 4175\/4.\nAnswer: (w - 4175)*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 2?\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -0.97 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -7*q**3\/6 - 7*q**2 + 14*q. Let b be k(-4). List the prime factors of (-4480)\/(-98) + 4\/b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1.01, -3\/7, -3, 2\/5 in decreasing order.\nAnswer: 1.1, 1.01, 2\/5, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612\/(-2304)*-8*8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14052*j**4 + 83824 wrt j.\nAnswer: 56208*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11)*x*(x**15*x)\/x)**30)**(2\/77) assuming x is positive.\nAnswer: x**(300\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179205319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13935 is divided by 13914.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-20))\/((-1)\/16). Suppose -12*h + a = -8*h. Factor 239*y**4 + 0*y**h - 24*y**3 + 3*y**2 + 6*y - 224*y**4.\nAnswer: 3*y*(y - 1)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3011.987cm?\nAnswer: 0.03011987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, w: 3, a: 3, r: 8}. What is prob of sequence wr?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -32)\/8 + 6. Suppose 4*m = i - 2, -4*i - 3*m - 10 = -m. Let f be (i + -1 + 3)\/1. Solve 3*l - 4*a - 2 = 0, -l + f*l - 6 = v*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.447029 to 2 dps.\nAnswer: 31.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*r**3*w - 8*l*r**3 + l*r**2*w + 3*l*r + 694*l - r**3*w - 56578*r**3 + 34*r**2*w + 10*r*w wrt r.\nAnswer: 12*l*w - 48*l - 6*w - 339468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -2, 2, 4, 1\/41, -0.02.\nAnswer: -2, -0.02, 1\/41, 2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320\/6*468\/195 is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*q - 15 = 0, b + 0*b - 5*q - 3 = 0. Let s = b + 2. Suppose -m = 4*z - 4, -3*z + 3 = 3*m - 6*m. Calculate the highest common factor of z and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 112112210?\nAnswer: -112112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b7 - 3?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 q when three letters picked without replacement from {l: 1, q: 4, p: 3, k: 1, w: 2, f: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480704\/(-4144)*(-6)\/(-8)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40)*-13*(-90)\/(-36)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730.11 rounded to the nearest ten?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 15 = 0. Let b be (r\/(-6))\/((-1)\/4). Suppose -2*m + 3*f + 146 + b = 0, -5*f = -4*m + 298. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n. Let o(q) = -6*q + 3*q - q. Let w(i) = -40858*i - 245153. Let f be w(-6). Determine f*m(b) - 4*o(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 6)*(2*o - 4*o + 4*o) + 12*o + 2 + 2*o - 4 as r + n*o and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -559\/6. Let x = 2050\/9 - 228. What is the nearest to -2 in j, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*u + 24504 - 4984 = 0, -3*z - 7*u = -29283. List the prime factors of z.\nAnswer: 2, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/(-165) + 5*4\/220?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 83*(-1)\/3*3. Let w = -497\/6 - u. Let j = 41303\/39 + -1059. Which is the biggest value? (a) w (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11595078*l*q**3 - l*q**2 - 4989*l*q - 3*q**3 - 46*q**2 + 5*q + 1 wrt q.\nAnswer: 69570468*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.63737 - 0.22173. Let m = 2.81 + y. What is m rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*6*9\/(-108).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25283 (base 13) in base 7?\nAnswer: -403601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 32 = -3*n. Let s = 37 + n. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13959 and 1454603?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**6 + 11993513*u**4 - 176*u**2 - 32*u + 1584 wrt u.\nAnswer: -840*u**3 + 287844312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 180*h**2 + 14*h - 2. Let b(n) = n**2 - 4*n + 1. Let v be -3 + (-7 - (0 + -11)). Let w(c) = v*s(c) + 3*b(c). Find the second derivative of w(r) wrt r.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - 57. Let i = -13 + s. Let q(o) = 5*o + o**3 + i + 5*o**2 - 5 + 1. What is q(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (76\/(-52) - -1)\/(6*(-9)\/468). Let g be (-2)\/7 - (-102)\/14. Let i be 0 - (1 - 10\/g). Which is the third biggest value? (a) i (b) 10 (c) k (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*t - 48, -4948*q + 4*t + 32 = -4947*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200121 + 10?\nAnswer: -11200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 101 = -407. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4461 + 4461. What is the closest to 14 in 18, d, 3\/4, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 14*n + 36. Let u be j(-11). Which is the third biggest value? (a) u (b) 0.2 (c) 5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 125.\nAnswer: 8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 31 = 4*j, -p + 13 = -2*j. Let o = 37 - p. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46795 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 45818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-15))\/((4\/(-6))\/(-2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -3*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5938 at most -52\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -121. What is the second biggest value in -5, -1, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*(h\/(h**(-1\/4)\/h)*h)\/h*(h*(h\/h**(-20))\/h*h*h)\/h*(h*h**(3\/4))**39 assuming h is positive.\nAnswer: h**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 5*l**2 + 2*l - 5. Suppose 0 = 5*d + 25, 0 = -2*u + 3*d + 3 - 2. Let j be (6 - -2) + 4 + u. Calculate h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 143, 0.1, 2\/19, 2, -96.\nAnswer: -96, 0.1, 2\/19, 0.4, 2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4.9. Let o = -1 + 13. Suppose o = m + 2*m. Which is the second smallest value? (a) 5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*3*(1 + -4 + (sqrt(81)\/sqrt(3) - sqrt(27)) + 3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - f + 1. Let h be q(1). Let k = 6 + h. What is the derivative of k + 0 + 4*b**2 + 1 wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8265, 8267, 8269, 8271, 8273?\nAnswer: 8275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 27*a**2 + 34*a - 211. Determine v(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -216109.079975 - -216106. Let z = -1.079979 - p. Let f = z - 2. What is f rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u - k, 8*k - 4*k = 3*u - 54. Solve 3*m - 5 - 1 = 3*d, -2*m = -4*d - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/15 - 15*p**2\/2 + 20*p. Let d(s) be the first derivative of q(s). Let c(i) = 6*i. Calculate d(c(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -30*u**2 + 33*u - 23. Let c(j) = -9*j**2 + 13*j - 8. Let r(o) = 8*c(o) - 3*g(o). Let i(t) = 17*t**2 + 4*t + 4. What is 4*i(m) - 3*r(m)?\nAnswer: 14*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m + 1. Let f be (5 + -3)\/2*-1 - 0. Let n(b) = -b**2 - b - 1. What is f*n(x) - l(x)?\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -223, -338, -511, -748, -1055?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:47 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*o**2*w**2 - o*w - 507*w**2 wrt o.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -39?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 1)*((-4827)\/(-6) - -3)?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from {l: 3, j: 3, u: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-8*w + 4*w - 3*w) - 2*w - 6*w + 0*w + w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/12 + 5*b**2. Let c(t) = -t**2 - 5*t + 5. Let o(m) = m**2 + 4*m - 4. Let d(s) = -4*c(s) - 5*o(s). Calculate d(q(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212 - 22?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6314? (a) 2\/53 (b) 4\/7 (c) -0.2 (d) 1\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 17*z**2 - 9*z + 14. What is the tens digit of f(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*b = 2 + 6, -4 = -m + b. Suppose m*o + 7 = -25. Let a(v) = -16*v + 26. Let f be a(o). Calculate the greatest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 108. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 2 + 1 - 3. Let y(h) = 55*h + 129. Let t(z) = -86*z - 205. Let g(s) = 5*t(s) + 8*y(s). Determine 7*a(r) + 4*g(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m + 4 - 11 - 63*m + 37*m + 7.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/(-900) - -3*4\/(-90)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1493167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 9*u + 60*u**2 - 59*u**2.\nAnswer: u**2 + 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 take away 195?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8574*r + 554. Let h be z(11). Round h to the nearest 1000.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(13448\/41))\/(333\/48).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -17*q**3 - 5*q**2 + 5*q + 4. Let n(u) = 18*u**3 + 6*u**2 - 6*u - 5. Let m = 10 - 16. Let w(d) = m*g(d) - 5*n(d). Calculate w(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, l: 1, p: 1, o: 1}. What is prob of picking 1 h and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8142*-9591.\nAnswer: -78089922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2172\/8*(1 + (-14)\/6). Let q = 380 + j. Suppose 0 = -3*l + 1 + 17. Calculate the greatest common factor of l and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211+7864\nAnswer: 8075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.028, -1\/5, -4\/3, -187\/103, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949.604 rounded to the nearest ten?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 19371*a**2 - 532*a - 43. Let i(h) = -4839*h**2 + 133*h + 11. Let u(x) = 9*i(x) + 2*j(x). Find the second derivative of u(q) wrt q.\nAnswer: -9618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) 5 (b) -0.9 (c) 2.74 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u)**21*(u**1)**(-18))**(-2\/47) assuming u is positive.\nAnswer: u**(-90\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -725.3?\nAnswer: -2901.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 113699 (b) -0.2 (c) 2\/5 (d) 0.5 (e) -0.1 (f) -5 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14) + 78\/(-15)*250\/(-175)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 28547*k**3 - 4 + 28545*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43710 and 12356817?\nAnswer: 123568170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 31*d + (5 - 3 + 0)*(2*d + 0*d - 4*d))*(0*d + 5*d - 2*d).\nAnswer: 69*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/864859 or 1?\nAnswer: 1\/864859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1032 - -23?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.64*1.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 4*d**2 - 2*d + 4. Let h be o(3). Let b be (-22)\/(-8) + 15\/h. Let t be b*220000*(-35)\/2. Round t to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 380344688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 - -0.6. Let x = 4 + p. Suppose 2 - 14 = -4*f. Sort -2, x, f in descending order.\nAnswer: f, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - (-133)\/28. Let u = z - 6. Which is smaller: 13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -5, 0.3, -1289?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -42.888. Let h = 0.179 + x. Let w = -0.067024 + h. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1289475160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a - 19*a + 107*a.\nAnswer: 143*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 278?\nAnswer: 5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-25)\/(875\/(-14)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10768983427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149247?\nAnswer: 2149247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 606\/68*((-63)\/(-27))\/(-7) and 18\/119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2063407 times -0.06\nAnswer: -123804.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-24))\/((-6)\/(-5))*((-852)\/5)\/6?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*t - 410*t + 205*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 139 = 715. Calculate the remainder when 476 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o - 78*o + 43*o - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 48685?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*16\/84*-9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15225857939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40572 divided by 10143\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -z - 4*n, -18*n + 38 = 3*z - 14*n. Let a = 44 + -14. What is the smallest common multiple of 16 and (-213)\/(-15) - z\/a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14868?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-14 + 4 - 10)*(-24*l - 38 + 38).\nAnswer: 480*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.077885 millennia in centuries?\nAnswer: 70.77885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 12 + 1077550*m**3 - 1077546*m**3.\nAnswer: 4*m**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -30. Let u = r + 25. Calculate the least common multiple of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15010749 is divided by 3752686.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3 (b) 1\/38 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 4 (c) -26 (d) -51 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -246, -187, -104, 3, 134, 289?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 10*u**2 + 23*u + 8. Let s be o(12). What is the biggest value in s, 0, 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.175 + 4.175. Which is the third biggest value? (a) 3 (b) u (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**4\/48 - 27*s**3\/2 - 6561*s**2\/2 - 2*s - 86. Suppose d(l) = 0. What is l?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053451.\nAnswer: 7, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 113 - 31 = 0. What is the third derivative of 2*g - 61*g**2 - 3*g**3 + c*g**6 + 2*g**2 - 8*g**3 + 4*g**3 wrt g?\nAnswer: 960*g**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210145 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*a = -2, 3*a - 6 - 16 = -d. Let h(i) = i**3. Let p(o) = 4*o**3 - 14*o**2 + 11*o + 19. Let x(y) = 3*h(y) - p(y). What is the units digit of x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-2)\/(-3). Let j(y) = y**3 - 63*y - 12. Let q be j(8). Which is the smallest value? (a) q (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -22*m**2 + 4*m**2 + 12*m**2. Let f(c) = 4*c. Determine f(v(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 0*d**3 - d**2 - 10*d**2)*(0 + 0 + 2*d + (0 + 0 + 3*d)*(-4 + 0 + 2) - 10*d + 8*d - 8*d).\nAnswer: 42*d**4 + 154*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 4*o + 210. Determine m(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = -3*b, 0 = b - s + 3 - 1. Let g(c) = c**3 - 16*c**2 - 2*c + 34. Let p be g(16). Let l = 76 - 78. Sort l, p, b, -3 in descending order.\nAnswer: p, l, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36262 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 303348.654 minutes?\nAnswer: 30.0941125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 0.3.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820 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: Simplify -5 + (sqrt(81)\/(sqrt(9) + (sqrt(324) - (sqrt(324) + sqrt(324) + -1*sqrt(324)))))\/(2*sqrt(300) + sqrt(147)*2 + sqrt(147) + sqrt(147)).\nAnswer: -5 + sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/24 + 5*q**3\/6 + 204*q**2. What is g(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32252, 32255, 32258, 32261, 32264, 32267?\nAnswer: 32270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 11*a - 3. Let i(n) = 12*n - 2. Calculate -2*h(d) + 3*i(d).\nAnswer: -2*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**4 - 17*l + 21 + 7*l**4 - l**3 - 34. Let z(c) = c**4 - 4*c - 3. Let p(q) = -2*o(q) + 9*z(q). Factor p(d).\nAnswer: (d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273 + (-16 - 100 - 19).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqmqqqqqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:52 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 37*a - 90. What is d(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*d)**(-35\/4)*((d**(-3\/4)*d)\/d*d)\/d**(-5\/4) assuming d is positive.\nAnswer: d**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and -70\/957.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*z + 84, -3*z - u = -6*u - 88. Let h = 36 - z. Solve -10 = -h*l + 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/3))\/(g**(-9)\/g)*g*g**2*g**(2\/5) assuming g is positive.\nAnswer: g**(221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, 1, -1, -7, -4 in increasing order.\nAnswer: -7, -4, -3, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-3*o - 2*o + 4*o)*(5 - 2 + 2).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893887423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/21 and 69\/175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -5300326?\nAnswer: -5300332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77150 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 + -2. Let y = -0.1955 - 2.8045. What is the third smallest value in 0.3, h, 24, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 12*l = 90. Suppose h = -2*w + 487, l*w - 8*h + 3*h - 1195 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let q(w) = -3*w**3 - w. Let p be q(-1). Let r(f) = f - 2. Let y be r(p). Let u(b) = b - y + 2. What is d(u(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391505101 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -2\/5, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1015\/1706 + -32531266\/4265. Let x = -7636 - a. What is the common denominator of x and 33\/(-6)*2\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*r + 98, -3*l = -0*r + 2*r - 158. Suppose v + l = 2*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524821564*h**2*p + 4796403*h*p - 3*h + 8*p wrt h.\nAnswer: -1049643128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 2. Let r be x(-3). Let b(n) = 1. Let a(d) = 4*d**2 + d + 5. Let f(w) = -a(w) + 6*b(w). Let l(i) = i**2. Let j(o) = -f(o) - 3*l(o). Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 39*g - 107. What is o(35)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 5*r - 7, 0 = -3*v + 5*r - 21. Let n be v\/(-6) - (47\/(-3) - -10). Let a(f) = -f**3 + 7*f**2 - 5*f - 3. Determine a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/8 = -6581494\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 276822 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*g**3*n**3 - 2*b**2*g*n**3 + 2*b*g**3*n**2 + 11*b*g*n - b*g - g**3*n**3 wrt b?\nAnswer: 4*g**3*n**3 - 4*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/(u\/(u*u*u*(u\/((((u\/(u*u**(8\/5)*u))\/u)\/u)\/u))\/u)))**23\/((u**(4\/11)\/u**(-6))\/(u*u**1)**48) assuming u is positive.\nAnswer: u**(20869\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y - 4)*(105 + 243 + y - 451).\nAnswer: -2*y**2 + 206*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 0. Suppose 5*q = l + 8, 2*l - 6 = -q - y*l. Suppose q*r = -5*f + 93, -2*f = -3*r + 104 + 7. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-399534)\/(-221) + 1 - (-6)\/39. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 take away 227.56?\nAnswer: 68.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 56. Which is the third smallest value? (a) l (b) -4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 1. Let j be z(-1). Let y(u) = -u**3 + 1. Let p(r) be the second derivative of r**5\/5 + r**4\/6 - 7*r**2\/2 - 12*r. Determine j*p(v) - 6*y(v).\nAnswer: 2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-42) - -3)\/((-2)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l. Let v(p) be the second derivative of -37*p**3\/2 - 900*p + 1. Calculate v(a(z)).\nAnswer: 2220*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 100 = 19*r. Calculate the remainder when 74 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7*i**(-1\/2)*i*i*i*i**(-5)*i**(1\/8) assuming i is positive.\nAnswer: i**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 415132\/(-12596) - (-16)\/(-376)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1033 + -3?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 + 52*r + 155. What are the prime factors of k(-34)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1001\/(-52))\/((-2)\/8). Suppose 0 = 72*p - u*p - 440000. What is p rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43421, -43419, -43417, -43415, -43413?\n\"Answer: 2*p - 43423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/7 - (10 + -71 - -35).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102201 - -2?\nAnswer: 1102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*w**2 + 52*w**2 + 53*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 26 = -4*b. What is the greatest common divisor of 32 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - k**2 + 4*k - 5. Let w(b) = 2*b**3 - 2*b**2 + 5*b - 6. Give 3*j(g) - 2*w(g).\nAnswer: 2*g**3 + g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -3, 199.1, 4\/7 in decreasing order.\nAnswer: 199.1, 7, 1, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -691.850541 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595 and 43164.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9))**26\/(n**(-9)\/n*n**20*n) assuming n is positive.\nAnswer: n**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2810525\/48 + -58555. Find the common denominator of a and -2\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -0.5, -159 in ascending order.\nAnswer: -159, -15, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(4\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.693464ug?\nAnswer: 0.001693464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 711492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 10*s - 7. Let q be o(-8). Suppose 5*d + 4*a = q, -3*d - d + 3*a = -32. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5386948 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79762, 79759, 79756?\n\"Answer: -3*q + 79765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 - 3448*x**4 - 756704*x**3 - 5885768*x**2 - 10939740*x = 0.\nAnswer: -427, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = i - 0*i. Calculate the common denominator of 6\/(1 - 10\/3) and ((-2)\/18)\/((-2)\/i).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)*x\/x**(4\/5))\/(x**(-1\/2)\/x)**(20\/9)*(x**(-8)*x*x)\/x**(2\/9)*(x**(-2\/25)*x)\/(x**(-4\/9)\/x) assuming x is positive.\nAnswer: x**(-118\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 11*n - 9*n - 3*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + -3 + (-1 + sqrt(1377) + sqrt(1377)*-2)*-1 + 5)**2.\nAnswer: 126*sqrt(17) + 1426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1684*t - 1698*t + 7280. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 9:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414 divided by -6.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/22)\/(1\/2). Let n be u\/2 + 1\/2. Let z(a) = 6 + 3*a**2 - 2*a**2 + 0*a**2. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16760)\/(-65) - -2) + (-2)\/(-13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*l + 6 = 0, 11 = -5*h + 3*l + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 1219 + 3461 = 0. Solve 237 = 3*v + b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38798608, -38798591, -38798574, -38798557, -38798540, -38798523?\nAnswer: -38798506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 + -30?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/10*3 - (-4)\/(-10). Solve -s - 7 = 3*g, -2*s - n*g + 5*g + 13 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = l + 5*c, 15 - 1 = l - 3*c. Solve -l*k = -22*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4682304 by -8868.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9147383.\nAnswer: 7, 29, 45061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -2 (c) -3.44 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*n**4 - 882*n.\nAnswer: 2160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -u - b, 3*u - 5*b = -11. Suppose -u*c + 15 = 2*c. Suppose 0*g - c*g = -69. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 24\/7, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14\/3, 4, 2, -5\/3 in decreasing order.\nAnswer: 14\/3, 4, 3, 2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmommbmjjppjpmeo. Give prob of picking 1 m, 1 j, 1 e, and 1 o.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7503.6989 rounded to the nearest 10?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153 + -753?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2*sqrt(130)*5 - sqrt(130))\/((sqrt(90) - sqrt(90)*3) + sqrt(90)) + 3) + 1)*-2.\nAnswer: -14 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*m + 17113 = 25629 - 85118. What is the remainder when m is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*k + 2)*(64*k**3 - 118*k**3 - 112*k**3) - 2 - 2*k**4 + 2 in the form t*k**2 + z + l*k + b*k**4 + y*k**3 and give b.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/654605 and 49\/3.\nAnswer: 1963815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287693.\nAnswer: 7, 73, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**3 - 7*n**2 - 30*n + 57. Is c(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53498+-214.9\nAnswer: -53712.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*31\/(-620)*2\/2*-5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30728102 is divided by 1138077?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 115. Suppose -4*h + i + 16 = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -1.3. What is the third biggest value in s, 1, 1\/6, 11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u + 3)*(-60*u**2 - 1586*u + 1586*u)*(0 + 0 - 3*u**2).\nAnswer: -360*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -121.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -894891, -894884, -894873, -894858, -894839, -894816?\n\"Answer: 2*g**2 + g - 894894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 + 2*b**3)*(-3 + 2 - 1) + 0*b + 2*b - 513*b**3 + 514*b**3 - 11.\nAnswer: -3*b**3 + 2*b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 67*n**2 - 834 - 26*n**2 + 834.\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 408662.1 micrometers?\nAnswer: 408.6621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1991*v**2 + 5*v + 3. Let o be t(-5). Let p(f) = 3543*f + 4. Let u be p(-7). Let x = u - o. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1528)\/(-20) - -1 - 9*1\/(-15). Solve -3*o = -29*o + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27917402057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124.5 or 3?\nAnswer: 124.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2) - 1)*-4*2. Let v = f + -8. Let b(o) = o**3 + 2*o**2 - 3*o. Let y be b(-3). Solve -v*g - 3*t = -0*t + 15, -t - 1 = y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 s(c) = -c**3 - 22*c**2 - 2*c + 15. What is s(-22)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g = 2*l - 144, -62*l + 66*l + 3*g + 26 = 14 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-3*((sqrt(2057) + -1 + 0 + sqrt(2057) + sqrt(2057) - sqrt(2057) - 1*sqrt(2057)*-2)*4 + -4))**2.\nAnswer: -14219708 + 76032*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 20, 451*l - 446*l - 4*b + 26 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 l when three letters picked without replacement from {x: 6, l: 3, k: 1, u: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**4\/3 - 26*u**2 - 2. What is o(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4081*b**3*r - 23*b**3 + 46*b**2*r - 24*b**2 - 79 with respect to r.\nAnswer: 4081*b**3 + 46*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 + 9*t - 5. Let m be b(6). Let z(g) = -55*g - 12. Let n(q) = -q + 1. Let v(a) = 6*n(a) - z(a). Is v(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3 and 35\/774.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 26*o**2 + 36*o + 292. Let a be s(24). Solve -5*r + 21 = -a*u, -u + 232 - 240 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30948 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2. Let u(p) = 7*p + 11. Let q(l) = -l - 5. Let c(r) = -r - 6. Let i(t) = 4*c(t) - 5*q(t). Let v(o) = 6*i(o) - u(o). Give 5*m(s) + 2*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1047943483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7805, -15611, -23421, -31235, -39053, -46875?\nAnswer: -54701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3 + 0*n + 22*n**2 + 3*n - 21*n**2. Let j be z(-5). Let q(h) = -h**3 + 7*h**2 + 7*h - 4. What are the prime factors of q(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9.5. Let l = 0.91 - 0.75. Let s = -0.36 + l. Which is the nearest to 0.2? (a) s (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 0*s)*(-47167 + 23572 + 23539 + 30*s).\nAnswer: -60*s**2 + 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g**(1\/24)\/g)\/g)\/g*g)\/g)\/(g*g\/g**17) assuming g is positive.\nAnswer: g**(337\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a - 4*a + 16*a - 6*a - a**2 + a**4 + 11*a**3 to r*a**3 + p*a**2 + d*a + v*a**4 + w and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 1. Let n(z) = 2*z**2 + 48*z + 4. What is n(t) - 4*u(t)?\nAnswer: 2*t**2 + 44*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 28. Let p be a(-23). What is the hundreds digit of 578 - (1 - (-20)\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 1855, 2870, 3871, 4864, 5855, 6850?\nAnswer: 7855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - 3*i**4 + 2*i**4 + (-i**2 + 0*i + 0*i)*(4 - 5 + 2)*(0*i**2 + 3*i**2 - 2*i**2).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 48.8543?\nAnswer: -49.3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10 - 17*w + 22*w - 17*w - 19 + 15. Suppose -2 = -3*x + x. Let p be l(x). Is -3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - 6*o - 4. Let q be b(-5). Suppose -q = -2*k + 11. What is the third derivative of -6*t**4 + k*t**4 + 2*t**5 - t**2 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -7 + 23, -r - 3*p + 12 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*d + 4, 5*s - 10 = -4*d. Suppose -14 = -s*y - 4. Suppose -4*f = -3*h + 42, 0*h - y = h + 5*f. What is the remainder when 19 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2711634 or 2711632?\nAnswer: 2711632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let q(v) = 18095*v. Determine q(n(s)).\nAnswer: 18095*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -103312?\nAnswer: 103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623194?\nAnswer: 2, 3, 7, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3294 divided by -663?\nAnswer: -1098\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-three eighths of a gram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 7\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*u - 0 + 12, 3*g = u - 14. Find the second derivative of -l**3 + 4*l**3 + l**3 - u*l + 3*l wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/334592 and -51\/160.\nAnswer: 1672960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/11)\/x)\/x)\/x**(-1\/2)*x\/(x*x*x\/(x\/x**20)*x)*x*x**(2\/51) assuming x is positive.\nAnswer: x**(-25099\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210206151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -6*q**3 + 560*q**2 - 12906*q + 4240 = 0?\nAnswer: 1\/3, 40, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3087418 + 1?\nAnswer: -3087417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 480, 1086, 1924, 2988, 4272, 5770?\nAnswer: 7476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.07.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 - 77 + 107 + 5*f**3 in the form h*f + o*f**3 + a*f**2 + v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -38, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2285915.1 months to years.\nAnswer: 190492.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16715\/3 + 5571. Which is the nearest to 1\/102? (a) 0.2 (b) 2 (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209764*s**2 + 21984*s + 576 = 0 for s.\nAnswer: -12\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**3 - 28*v**3 + 20*v**3.\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*v**6 - 152361*v**5*x - 5116725*v**2*x - 2*x wrt v?\nAnswer: -8880*v**3 - 9141660*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3. Let v(o) = 7*o**3 + 2*o**2 + 2*o - 2. Let p(t) = -2*i(t) + v(t). List the prime factors of p(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/2 + -11. Let g = -12 + 11.9. Which is the smallest value? (a) g (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2 rounded to 0 decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a - 4. Let m(h) = -2*h**2 + 5*h - 10. Let f be m(3). Let s(q) = -4*q - 55. Let v be s(f). Calculate k(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 544 - 544. Solve y*r - 12 = 2*r - 5*k, 20 = 5*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 1. Let o be (-1)\/4 - i\/4. Suppose -o*w - 4 + 6 = -4*u, -4*w - u = -9. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 2*x - 3. Let t be n(3). Suppose 700*c = 689*c + 29040. Let k be 26770\/c + -10 + 4\/(-22). Is k >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3490 + 3482 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10419 + -10525.14. What is d rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -48. Let z = r - -44. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 20 = 1151*y - 1156*y, 4*b + 36 = 2*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b*b**(-3))*b)\/b*b)\/b*b)\/b)\/(b*b*b*b**5)*(b**(1\/3)\/b)**(-42))\/(b**(2\/11)*b*b**2*b**(-4\/7)*b**(2\/9)\/b*b) assuming b is positive.\nAnswer: b**(13976\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10386, -11579, -13568, -16353, -19934?\n\"Answer: -398*g**2 + g - 9989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.73835 micrometers?\nAnswer: 738.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 536087965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/((-16926)\/2015).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q. Let w be (-30)\/(-24)*4 - 3. Let d(m) = -4*m**2 + 4*m**2 + 25 - 15*m**w - 25. Calculate d(u(r)).\nAnswer: -735*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*r = 5*c - 9, 12 = 3*c + r. Let v(u) = 221*u + 96. List the prime factors of v(c).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecepcpjpceeepe. What is prob of picking 2 c and 2 e?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3 - 2*z**4 + 1 + z**4 + 2*z**4 + 0*z**4 + (3*z + z - 3*z)*(2*z**3 + 2 - 2) + 5*z**4 - 2*z**4 - z**4 + (-3*z**4 - 4*z**4 + 5*z**4)*(-125 - 54 - 63).\nAnswer: 489*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 12:17 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2375 and 0.5.\nAnswer: -2374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703 is divided by 62.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -268, -519, -784, -1069, -1380, -1723, -2104, -2529?\n\"Answer: -p**3 - p**2 - 241*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*f + 596427, -3*q - 911*f = -906*f - 357850. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 33*r - 483. What is the remainder when 174 is divided by m(16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17572195.\nAnswer: 5, 31, 73, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -1222, -1216, -1210?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143007 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**2 + 15*k - 9. Let o be s(-6). Solve 0 = -5*m + o*t - 1 + 3, 2*t + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112359097 to the power of 1\/2, to the nearest integer?\nAnswer: 64128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 12*p**2 + p - 7. Let t be i(12). Let f be t\/(-5) - 0\/1. Put 3, 0, f in descending order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2527692 divided by 2527692.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v + 4*v + 0*v)*(5*v - v - 3*v) + (4 - 4 + 7*v)*(-13*v - 4*v + 2*v))*((0 - 5 - 3)*(v - 2*v + 0*v) + (4 - 3 + 1)*(2*v - 3*v + 3*v)).\nAnswer: -1248*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 21*o**2 + 37*o - 43. Determine f(22).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602649?\nAnswer: 3, 29, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 2, b: 1, x: 14}. Give prob of picking 1 s and 1 b.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -699 + 1185. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 - 224. Let z(q) = 53*q**3 + 3*q**2 - 9*q + 6. Is z(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244175989.\nAnswer: 557, 438377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s**2 - 212*s + 826. Give c(4).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43246 rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeqenoen. Give prob of sequence qenn.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2700a + 2?\nAnswer: 27011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5555.\nAnswer: 1\/5555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8962668*p**2 + 1204927.\nAnswer: -17925336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 1.5. Let x = y + 0.9. Let p = -0.6 + -1.4. What is the second biggest value in p, -3, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:34 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from snsns?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*((-320)\/(-4))\/(-8). Suppose -h*b = -5*a - 20, 5*a + 6 = b + 2*a. Find the second derivative of 21*f**3 + 20*f**3 - 47*f**b - 17*f wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 28 = 4*f, 0 = -0*d - d + 5*f - 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + -489. Let l = 659 + c. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 12:34 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 175 (c) -118 (d) 0.5 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose 6 = x*t - 0*t. Let i be (-19)\/t - (-5)\/10. Is i greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/21 + (-4)\/((-84)\/(-3)). Which is the second smallest value? (a) t (b) -2 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*s + 212, -3*p - 41 = -s + 2*p. Let d = s + -26. Solve -2*y = 6*k - 3*k - 25, -k + d = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18710757?\nAnswer: 3, 13, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7.6. Let m = -1.6 - f. Which is the nearest to m? (a) -1\/2 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-18)\/(-60) + (-4)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5076308\/15561 + 2936\/9. Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 11824. Suppose 2*m - 2968 = -0*m - 3*u, -2*m + 3*u + l = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/14)\/(2\/(-14)). Suppose 2*w = s*u - 36, 7*w - 4*w = 6. Solve 6*t = t + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/i)**13\/(i**(-1\/10)\/i**42) assuming i is positive.\nAnswer: i**(-229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 2, z: 2, i: 1}. What is prob of picking 3 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:39 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + 31 + 3. Let x = i - 28. Suppose -8*u = -2*u - 270. Calculate the highest common divisor of u and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183596*k**2 - 2*k + 529788 wrt k.\nAnswer: 367192*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**19\/(f*f\/(f**(-13)\/f)) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2. Let n(g) = 2447*g. Calculate n(m(o)).\nAnswer: 14682*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 133, 207, 277, 337, 381?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28963 is divided by 1650.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74782821 to 2 decimal places.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 16) to base 6\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 32 = 39*x - 34*x, 5*k - 3*x - 48 = 0. Let l(v) = -v**3 + 10*v**2 + 21*v - 43. What is the units digit of l(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = -2. Let u(d) be the third derivative of -d**4\/3 - 2*d**3\/3 + 9*d**2. Does 2 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + d + 6, 4*w + 50 = 332932*d - 332915*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-290)\/75 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82829539.5 - -77255.\nAnswer: 82906794.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77958215 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11468705 and 25061.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78749 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1044 and 30?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9668 and 10830577?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12520386 (base 10) to base 13\nAnswer: -2794b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 11:11 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k - 8. Let p(i) = 10*i**3 + 25*i + 70. Determine -35*n(c) - 4*p(c).\nAnswer: -5*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let t(k) = 858*k**2. Calculate t(h(n)).\nAnswer: 3432*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -10 + 2 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 7 + 0 + -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93162156 is divided by 4690.\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = m + 12, 3938 - 3946 = -3*g + 5*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2730)\/(-540) + (-2)\/36. Let i(s) be the third derivative of -14*s**2 + 1\/70*s**7 + 0 - 1\/20*s**6 + 0*s - 1\/2*s**3 + 1\/4*s**4 + 0*s**n. Factor i(g).\nAnswer: 3*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvwxwvvvwvv. What is prob of sequence xvw?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - 4*g - 4*g**2 + 3*g + 0*g**2 as w*g**2 + t + k*g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 196*p**5 + 546*p**4 - 934*p**3 + 94*p**2 + 90*p + 8 = 0?\nAnswer: -4, -1\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*w**3 - 1 + 3*w + 1 + 0*w + 38*w**3 + 2 to i*w**2 + f*w**3 + j*w + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**3 + 48*i**2 - 56. Let f(u) = u**3 + u**2 + 1. Let c(m) = -4*f(m) - q(m). Find the first derivative of c(x) wrt x.\nAnswer: 3*x**2 - 104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 162342 in descending order.\nAnswer: 162342, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*i = 3, y + 120 - 117 = 2*i for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 10*x**2 - 3*x + 5. Let l be f(5). Let v = -95 - l. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/((-14)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 643942 + 8053273 = -28804627. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 6*u. Let x = 28 + -14. Suppose -i - x - 3 = 0. Let t(j) = -j**2 + 4*j**3 + j**2 - 17*j + 2*j**3. What is i*h(v) - 6*t(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4))\/((15\/(-45))\/((-130)\/(-15))). What is the highest common divisor of q and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.0027 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**9\/22680 - d**8\/5040 + d**7\/3780 - d**4\/2 - 4*d. Let n(b) be the third derivative of l(b). Let n(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 144*d**2 + 53*d + 596. Let s be a(-71). What is the highest common divisor of 45 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**3 + 2*b**2 - 2*b + 1. Let g be t(1). Let w be (28*-4)\/((-4)\/g). What is the units digit of 3\/(6\/w) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447741 is divided by 601?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.13, 2\/7, 2, 6, -13, -0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.05 (b) -1 (c) -1\/2 (d) 1.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/630 + s**5\/30 - s**4\/4 - 2*s. Let h(k) be the third derivative of t(k). Differentiate h(g) with respect to g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k + 4*g, 1 = 5*g - 4. Let z(q) = 5*q + 1. Let x be z(-1). Let u be 2\/x*k - 3. Which is bigger: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2830 - -2835. Solve 0 = 3*s + 5*q + 35, -s - 14 + n = q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = 2*o + 5, -5*d + 1 = 3*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5817*y. Let u(x) = 574*x**2. What is h(u(w))?\nAnswer: -3338958*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 2*c + 12.\nAnswer: -2*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 3. Let h be (2 - 50)*51\/(-153). Suppose -h*n - 126 = -2*n. Determine l(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(171) + -1*sqrt(171)*6 + sqrt(171) - ((sqrt(171) - -1*sqrt(171)) + sqrt(171))*4))\/(5*-3*sqrt(900)*2))**2.\nAnswer: 304\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2456 - -2455.926. Let d = -4112\/15 + 274. Which is the third smallest value? (a) 0.5 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y + 0*y)*((3*y - y + 0*y)*(3 + 0 + 0) + 3*y - 5*y - 8*y) to the form g + h*y**2 + z*y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(162) - (sqrt(162) + -2 - sqrt(162))) - sqrt(162)*1*2) + (sqrt(162) - 6*(-3 + sqrt(162) + sqrt(162))) + -4*sqrt(162)*-6)**2.\nAnswer: 7020*sqrt(2) + 37126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*r - 47 = -7*z, -3*r = -5*z + 149. Suppose v = -7 + z. What is the highest common factor of 14 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 343937 in 7, 2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2 - 2438. Let w(d) = 143*d + 2. Determine b(w(m)).\nAnswer: -286*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -3*t, -3*z - z = -t + 5. Let o = 4.07 + -0.07. Let i = 3.21 - 0.21. What is the closest to z in o, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111.8 - -151. Round t to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1527039971 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y - 46*y + 153*y + 194*y.\nAnswer: 230*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 80, 83, 88, 95, 104, 115?\n\"Answer: f**2 - 2*f + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -45 (b) -48 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let d(u) = 12*u + 15*u + 3*u - 6*u - 1. Determine w(d(o)).\nAnswer: 576*o**2 - 48*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 1\/6, -0.1, -4.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71022 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 + 194. Suppose 56 = n + 3*n. What is the remainder when n is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000956283 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 750*s*t**3 - 766*s*t**2 wrt t.\nAnswer: 4500*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 48*r - 102. Let y be j(20). Calculate the greatest common divisor of y and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3601 is divided by 511?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-222)\/(-42) - 4\/14. Suppose -4*x - 20 = 2*k + 2*k, 0 = -k - 2*x - n. Sort 0, k, 2 in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/24 + 25*z**4\/24 - 15*z**3\/4 - 4*z**2 + 3*z. Find d such that y(d) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5322302)\/(-112961) - 10\/86\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 19 = u, -2*d - 3*u = -20 - 5. Let i be ((-2)\/d - (-5010)\/40) + -5. What is the highest common factor of 45 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378912 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: Rearrange -3*r**3 + 26 - r**3 + 2*r - 238*r**4 + 240*r**4 to the form w*r**3 + z*r**4 + q*r**2 + d + v*r and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -109, 0, 0.4, 0.1443?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000577219 to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-40)*(((r*r*r**(25\/3))\/r)\/r*r)\/r assuming r is positive.\nAnswer: r**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20578.2 micrometers in meters?\nAnswer: 0.0205782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeqra. What is prob of picking 1 a and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.14+1833\nAnswer: 1833.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1182*g**3 - 31351*g**2 - 37570104*g?\nAnswer: -7092*g - 62702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2655, -2653, -2649, -2643, -2635, -2625, -2613?\n\"Answer: a**2 - a - 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 7*q - 5. Let i be z(-5). Let m(c) = c**2 - 8*c - 19. Let y be m(10). Let x(p) = -29*p - y + p**2 + 26*p - 5. What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/11880*-66)\/(28\/2).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601639940574 minus 5?\nAnswer: -2601639940579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1569 = -253*y + 2846 - 873 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 + 2. Suppose -v*i = 5*g - 4*g + 39, 0 = -i - 4*g - 6. Let s = i - -16. 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: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 5*r**4\/12 - 43*r**3\/3 - 36*r**2 + 729*r - 1. Find o such that g(o) = 0.\nAnswer: -4\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 = -4*u, b - u - 3 = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*c - 206*c - 54 + 767 = 0. Let d be (2\/(-4))\/(1\/72). Let o = c + d. Let b(r) = r**2 + 7*r + 4. Calculate b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36509535, -73019073, -109528611?\n\"Answer: -36509538*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*i**2*y**4 - 2*i**2*y**2 - 12*i**2 with respect to y.\nAnswer: 160*i**2*y**3 - 4*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 1.29125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 4. Let u be b(5). Let o be ((-4)\/(-12))\/(u\/(-3)). Let h(w) = 187*w**2 + 184*w**2 - 376*w**2. What is h(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 + 4 - 767*f**6 - 595*f**6 + 2082*f**2 - 695*f**6 wrt f.\nAnswer: -246840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2206\/4)\/1)\/(5\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.2 (c) 2\/11 (d) 1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -446618, -893221, -1339812, -1786385, -2232934, -2679453, -3125936?\n\"Answer: p**3 - 446610*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m**2. Let h(b) = -b**3 - 3*b**2 - b + 2. Let p be ((-18)\/216)\/(((1 - -3)\/24)\/(-2)). What is p*h(l) + r(l)?\nAnswer: -2*l**3 - 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18452203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - 3)) + -4 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3 (b) -22 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 42?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*w + 10 = 0, -1 = -3*w + 2. Factor 403*s**3 - 11 - 400*s**3 + 10*s**2 - 1 - s**i.\nAnswer: 3*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9855 - 9852. What is the nearest to 2 in m, -3, 21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321373.83 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 14664600 to the nearest one hundred thousand.\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753 - -757. What is the nearest to -1 in l, -4\/7, -2\/39?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 499 (b) 6 (c) 13\/12 (d) -3\/2 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 44 = 16. Suppose -4*m = -5*v + b, -5*m - 3*v = v + 75. Let n be ((-25)\/m)\/(1\/3). Solve 9 = -2*k + n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066953 divided by -1.\nAnswer: -1066953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 4*a**2 - 9 - 4*a + a**2. Let z be o(7). Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5. Let o(y) = -2*y - 4. What is -4*o(g) + 3*s(g)?\nAnswer: 8*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 8 = 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 5*y + 155 = 0, 5*t = 3*y + 184. Is (-1)\/((-28)\/144)*t\/2 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 5. Let z be m(-7). Suppose -2*v + 7*r - 4*r = -9, 4*v + z*r = -6. Suppose 2*i - 6*i + 88 = v. Calculate the least common multiple of 12 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*c + c. Let o be 1*(-2)\/2*-2. Suppose 4*x - o - 14 = 0. Calculate the greatest common divisor of x and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1082*f**3*g**2*u - 2494*f**3*g - 2*f**3*u - 3*f*g**2*u**2 - f*u**2 wrt g.\nAnswer: 2164*f**3*u - 6*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 + 356\/28. Suppose -k*g = -19*g + 30. Solve g*d = -o + 9, 2*o - 3 - 9 = -4*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txpxhco. Give prob of sequence tco.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 57*z = 112612 + 311484. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3132 (base 4) to base 10.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3116621 + 3116621 + y**3 + 5*y**2 - 12*y**4 - 6*y + 3*y**4 as d*y**3 + k*y**2 + q + a*y + m*y**4 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 - 14874962*c**3 - 44624866*c**2 + 14874962*c + 44624868 = 0.\nAnswer: -7437478, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k. Suppose -5*u = -28 + 68. Let a(x) = 20*x. Let s = -73 + 65. Let h(m) = -6*m**2 - 47*m + 5. Let q be h(s). What is q*a(p) + u*c(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2 + 4. Let k(q) = -185*q**a + 54*q**2 - 568*q**2 + 2*q + 1 + 0*q. Let z be k(-1). What is z rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1564 and 13804.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 3*i**4 + 3*i**3 + i**2.\nAnswer: i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (580*u**2 - 4*u + 2*u + 629*u**2)*(3*u - 3*u - 3*u) in the form t*u**3 + z*u**2 + w + l*u and give t.\nAnswer: -3627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-32 + 37 + (7 + -50 - (-2 - -6)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q**(-1\/3)*(q\/q**(-3\/4)*q)**(2\/11) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k**3 + 3*k**2 - 11*k. Let f(n) = 45*n**3 - 16*n**2 + 53*n. What is 2*f(h) + 11*s(h)?\nAnswer: -9*h**3 + h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/(-16) - (-460)\/(-80). What is the nearest to 1 in u, 5, 1, -68?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:36 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1859*g = -4368*g + 1742*g + 66729 for g.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Suppose -m - 16 + 63 = 4*s, s = -l*m - 12. Suppose 211 = c + 68. What is the highest common factor of c and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/15))**(-6\/5) assuming a is positive.\nAnswer: a**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -773 - -771.682. What is f rounded to two decimal places?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 806783002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 22*u**2 + 17*u + 4. Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 - c**3)*(-4*c - 6*c - 2*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 29, -0.127, -4, -2, 3.\nAnswer: -4, -2, -0.4, -0.127, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.8446 + -0.1554. Sort 2, s, 0.2 in decreasing order.\nAnswer: 2, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*d - 44 + 44 + (-d - 3*d + d)*(-1 + 0 - 3))*(-3*d + d + d) + (2 + 4 - 4)*(10 - 10 + 2*d**2) as m*d**2 + x*d + n and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-180))\/(2\/(-5)). Let x(b) be the second derivative of 0 - r*b**4 + 0*b**2 - 2*b + 1\/18*b**3. Solve x(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7, 1.5, -107660.\nAnswer: -107660, -0.2, 1.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836908 is divided by 162?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 936259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -160*f - 22. Let s(m) = 32*m + 4. What is -3*h(x) - 16*s(x)?\nAnswer: -32*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/735 + f**6\/210 - f**4\/42 + f**3\/21 + 5*f**2. Factor g(j).\nAnswer: -2*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02335 rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541736 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(-3*t - t + 3*t)*(-5 + 1 - 24)*(6*t - 5*t - 5*t**2 + 4*t**2) to a + y*t**3 + j*t + i*t**2 and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/60 and -51\/505?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 652 + -629. Suppose 0 = 5*a + w + 11940000, b*a = 19*a - w - 9552000. What is a rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 5 (c) -3\/4 (d) 0.1287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 8, g: 4, x: 1, i: 5}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7808.2 + -7808. What is the second smallest value in 15, 20, 1\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3525478.007 rounded to the nearest 100?\nAnswer: 3525500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 278 = -2*r, -m + 5*m = -3*r - 1137. Let w = -166 - m. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 41*s**5\/10 - 35*s**2. Let p be r(-1). Suppose 2*g = g + p. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 435230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/2 + j. Let p(k) = -3*k**2 - 5*k - 5. Let w(r) = r**2 + 2*r + 2. Let h(b) = 2*p(b) + 5*w(b). Calculate h(g(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2659000 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, p: 5, i: 2, d: 2}. Give prob of sequence dd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -4\/3 (c) -0.5 (d) 827\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*p**2 - 1286*k**4*p - 9*k**2*p - 7*p**2 + 6*p wrt k?\nAnswer: -48*k*p**2 - 30864*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 1 + 13*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 161\/253*301180\/2590\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxti when four letters picked without replacement from {e: 2, j: 1, t: 1, x: 1, v: 1, i: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2 + (-5 - -6). Let j(b) = l*b - 3*b - 2*b + 2*b**2. Let y(f) = -9*f**2. Calculate j(y(w)).\nAnswer: 162*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23783791*g**2 - 36904427?\nAnswer: -47567582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 328469 times -9\nAnswer: -2956221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -877, -922, -967, -1012, -1057?\n\"Answer: -45*w - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5 - 1126*s**4 - 5682*s**3 + 1126*s**2 + 5680*s = 0?\nAnswer: -5, -1, 0, 1, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let f(l) = -10*l + 8. Give -4*a(s) + f(s).\nAnswer: -6*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let w(z) = 5*z**2 + 3*z - 3. Let f(p) = 6*p**2 + 4*p - 4. Let u(v) = 3*f(v) - 4*w(v). What is u(j(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 40*z**2 - 109*z - 85. Give y(37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:23 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 8 (b) -1 (c) 221\/6 (d) 4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7130*q**3 - 21722*q**3 + 7234*q**3 + 7247*q**3.\nAnswer: -111*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(16\/(-17)) + 3\/12. Let g be 2\/3*(-30)\/q. Solve f = g*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(-5 + -4*(sqrt(704) + -1 + 4) + -1 + -2).\nAnswer: -128*sqrt(11) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22205 (base 15) to base 16.\nAnswer: -1a7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = -454 + 514 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6625590 to the nearest 10000.\nAnswer: 6630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 14158*n**2\/3 - 27523600*n\/3 + 8506655000\/3.\nAnswer: -2*(n - 3350)**2*(n - 379)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - -23.72. Let z = -24 + r. Let m = -103 + 108. Which is the third smallest value? (a) z (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 12 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3451 is divided by 3434.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11044113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4542989 and 2343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 9 + -6 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(1 + sqrt(2) + 3)*-6.\nAnswer: 180*sqrt(2) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 40 = -b. Let w(j) = 2*j**2 - 39*j + 27. What is the smallest common multiple of w(19) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719298?\nAnswer: 2, 7, 227, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hygbyybnbbbgbynn. Give prob of picking 2 n and 2 y.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 - 28.8. Let i = v - -32. Let g = -0.8 - -0.9. Which is the smallest value? (a) i (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(396) + 2)*5 - (sqrt(88)\/(sqrt(8) - sqrt(40)\/(-2*sqrt(5))) + (sqrt(99) + sqrt(99)*1*-1)\/sqrt(9))**2.\nAnswer: -89\/9 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2032 + 72*b - 2027 + 198*b + 4065 to s + m*b and give m.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*p + 90 = -705*p. Let n be (-2)\/3 - (-20)\/(-6). Let h = n + p. Solve h*a - 4*d + 8 = 3*a, 4*a + 5*d = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 229 and -5.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 497 - 484 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t + 3. Suppose j + 30 = 5*j - g, -3*g - 6 = 0. Let n(a) = -2*a**2 - 3*a - 3. Let i be n(-3). Let f = i + j. Give h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*a + 4*o, -o - o = 2*a - 32. Suppose 0*r + a*r = 330. What is the least common multiple of r and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2.4163\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -164*l - 1136. Give t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135676 - 68673. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j*j)**(-7\/5)*j**(20\/7)*j**(-13\/3) assuming j is positive.\nAnswer: j**(874\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 - 5*i + 4. Let p be v(3). Let k = -20706\/5 + 4116. Let x = k - -25. What is the nearest to -1 in x, -5, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*n = -3*o - 15, -15 = o + 3*n. Let u(l) = l**3 - 2*l + 78. What are the prime factors of u(o)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0 - 8. Let b be (2 - (1 - 2)) + t. Suppose -5*n + b = 3*z + 6, 4*z = -n - 1. Solve 0 = m + 4, -2*v + 2*m + z*m = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p = 56. Let x be (5\/2)\/((-7)\/p). Let m(n) = n**2 - 2*n - 7. Is m(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9*x - 22*x - 106 = -17, -4*x = 12 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 15*q**2 + 18*q + 4. Let a be c(10). What is the common denominator of 101\/8 and 0 - -2 - 1536\/a?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = -75. Let p = t + -11. Which is the nearest to -2? (a) 3 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*j**2 + 8*j**2 - 29*j**2 - 3*j**2 + 5*j**2 - 3*j**2 + (-4*j + 3*j - j)*(0*j - j + 0*j) - j**2 + 0*j**2 + 2*j**2)*(3 + j - 3).\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710*y - 2420*y + 710*y - 7*y**3 + 1320*y**2 - 1320*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 29295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40618, -41029, -41694, -42613, -43786, -45213?\nAnswer: -46894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t = 56*t - 96. Let j = t - -53. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7845872, 7845871, 7845870, 7845869, 7845868?\n\"Answer: -r + 7845873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16*x - 3.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1.4 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6707*l**2*y**2*z + 6*l**2*z - 2*l**2 + 6*l*y*z + 5*l*y + 3*l*z - 8*y**2*z + 9*y wrt y?\nAnswer: -13414*l**2*z - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -16. Suppose 4 = y, y = -5*s + 13 + r. Let u(z) = -z**2 + z - 1. Let v(q) = -q - 1. Calculate s*u(l) + v(l).\nAnswer: -2*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 182872847 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*f = 20182, 5*f - 12002 - 1440 = -2*m. Is m a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*b**2 + 61*b**3 + 6*b - 59*b**3 + 85*b wrt b?\nAnswer: 12*b - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 + 17 = 2*y. Calculate the greatest common factor of 98 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -2563, -3823, -5083, -6343?\nAnswer: -7603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 159*o + 1029. Give n(-166).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-25)*(-198)\/44. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4 and 35\/157?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4253672m to nanometers.\nAnswer: 425367200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778 + -790. Calculate the remainder when (-5)\/1 - 6\/(t\/134) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(1947 - 28*u - 1947) + (-1 + 2*u + 1)*(-1 - 3 + 6) to g + n*u and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 20258*q - 72977*q - 3.\nAnswer: -52719*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 8 = 4*f - 70, -5*f + 53132 = 106213 - 53106 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*-2*sqrt(2448) + 2.\nAnswer: -480*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 12*b - 95)*(-2 - 2 + 5) + (0 - 1 + 0)*(-7 + 7 + 6*b) + b - 5*b + 3*b - b + 4*b - 2*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 7*k**2 - 5*k - 6. Let d = 1 - -4. Suppose 5*g - 35 = -z, 3*z - d = 2*z. Let x be c(g). Solve x = 4*p - 5*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2. Let c(u) = -34*u - 15. Calculate c(i(a)).\nAnswer: 136*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011000010 - 11?\nAnswer: 1010010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u**2 + 0*u)*(-3*u + 6*u - 2*u) + 6*u**3 - 5*u**3 + 0*u**3 - 3*u**3 + 0*u**3 - 3*u**3 + (-3*u**2 + 5*u**2 - 4*u**2)*(-4*u + 3*u - u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/75, -4\/5 in decreasing order.\nAnswer: 2\/75, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - i + 186 = 188, -4 = 15*a + 2*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 1, o: 1, u: 2, x: 3, t: 1}. What is prob of sequence wwt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 13*a**2 + 1. Let k(d) = 18*d**2 + 1. Let y(c) = -5*k(c) + 7*z(c). What is y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20592 and 41\/278.\nAnswer: 2862288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-14)\/(-16)) + -1. Let w be (-54)\/(-24) - 3\/(-2)*-2. Let l = 98.7 - 99. Sort w, l, t in descending order.\nAnswer: t, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 10. Determine f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 0*v - 3*q, -3*v + 2*q + 10 = 0. What is the highest common divisor of 18 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228060 (base 9) in base 7?\nAnswer: 1110504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 + 160*f**2 + 56*f**2 + 166*f**2 - 6*f**2.\nAnswer: 358*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4509*o + 2254*o + 2307*o - 1563 - 205 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -54a1b?\nAnswer: -54a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 18*v**2 + 17*v + 41. Let f be a(19). Suppose 2*u = -2, -4*u + 17 + f = 3*k. Solve 0 = 6*c - 2*c + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/4 of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 52*q + 11. Let y be x(-1). Let w = y - -370\/9. Does 24\/7 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5616 rounded to 2 decimal places?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/189*2\/(38\/133)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028618272 rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pommookio. What is prob of picking 1 m, 1 i, and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210807 and 1985.\nAnswer: 1054035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*(33\/((-1551)\/(-752)))\/(-7)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 252434 (base 8) to base 13\nAnswer: 30993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 29295\/(-1725))\/((-16)\/(-160))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - 25a88?\nAnswer: -25a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(-1)\/(-3)*(-564)\/(-10). Are 188 and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2002, 3660, 5318, 6976, 8634?\n\"Answer: 1658*o + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -4*(sqrt(228) + -3*sqrt(228)) - -2*sqrt(228)*1)\/(4*(sqrt(36)*-2)\/sqrt(3)*-1))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -5.\nAnswer: 299\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9713 - -0.0473. Round s to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 641 divided by 3.\nAnswer: 641\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 55561?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w = -f + 6*f + 34*w - 3070 + 567, 2*f + 3*w = 97 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 3*f**2 + 11*f - 2. Let l = 39895 - 39903. What is j(l)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/51))**(-1\/15) assuming v is positive.\nAnswer: v**(1\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -26623062 to the nearest ten thousand.\nAnswer: -26620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/903 and -73\/166023?\nAnswer: 1162161","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 2, j: 4}. Give prob of sequence ijj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -7, -3 in ascending order.\nAnswer: -7, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/(-378) + 23\/(-28) + (-3)\/(-12).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 117, -44566\/9, -3\/4 in descending order.\nAnswer: 117, 0.3, -3\/4, -44566\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 78691 = l, 4*l - 320129 = 5*t - 5365. Is l 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 3*m**4 - 5*m**4 - 4*m**4 - 6*m + 14*m wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21173 is divided by 10584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, 51, 131, 213, 297, 383, 471?\n\"Answer: s**2 + 75*s - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424939?\nAnswer: 1424939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 9*o**2 + o + 13. Let l be q(-9). Find the third derivative of 17*r**5 - l*r**5 - 20*r + 18*r**2 + 20*r wrt r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 462126 - 1626?\nAnswer: 460200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - 2\/(-6). Suppose c = 2*d + 4 - 6. Let v = -0.6 + -1.4. Put 1\/4, d, v in ascending order.\nAnswer: v, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 5*k + 165 - 81)*(1 - 1 - 2 + (-2 + 1 + 0)*(2 + 0 + 0) + 0 - 1 - 1 + 0 - 4 - 8 + 5 - 5 - 1).\nAnswer: -95*k - 266","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267985607.\nAnswer: 29, 31, 298093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = r - 3*k, 0 = -4*r - 4*k + 16. Which is the nearest to -2? (a) r (b) -5 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Suppose j*f - 41 = 31. Solve -2*x = -h - x + 6, -2*x = -4*h + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 1058, 2029, 3422, 5255, 7546?\nAnswer: 10313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72008 divided by 72008.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355211427 is divided by 3995.\nAnswer: 3992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441.9728 - -2.1.\nAnswer: -439.8728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)**(-7))**42 assuming n is positive.\nAnswer: n**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312184671 to the nearest integer?\nAnswer: 17669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/53 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-15))*r*r\/r**(-1\/4)*r)\/((r\/r**(9\/4))\/r**10) assuming r is positive.\nAnswer: 1\/sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36980 - -36980. Solve 2*g + b*a + 9 = 5*a, -5*g + 2*a = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izr when three letters picked without replacement from {f: 2, g: 1, i: 1, r: 2, z: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11. Suppose 0 = 4*h - 1 - s. Suppose 243 = h*q + 2*q - 3*o, 0 = 4*q - 5*o - 253. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -1\/3*u**3 - 2*u**2 + 0*u - 39. Give j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 16123702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62699 and 14098?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153474561 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 = -0*f. Suppose 5*a + f = 5*o, -7*a + 4 = 4*o - 3*a. Solve o*i + 3*y - 6 = -0*i, -y = -3*i - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -2035?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 253. Suppose 0 = -2*b - 3*b - f*z - 404, 0 = 3*z - 9. Which is smaller: -80 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoawo. What is prob of sequence aaw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4133, 5463, 7681, 10787, 14781?\nAnswer: 19663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 96 = -2*d + 169, 5*d - 13*w - 106 = 0 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6915 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 5*b**3\/6 - 5*b**2 + 6*b. Find the first derivative of o(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -30*l. Let q(n) = -10*n**2 + 1694*n - 1694*n + 0*n**2. Determine q(u(d)).\nAnswer: -9000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - ((-85)\/25 + 1). Solve -f + o*f - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**2 - 14*g - 3. Let m(t) = -31*t**2 - 14*t - 4. What is -5*m(y) + 6*z(y)?\nAnswer: 35*y**2 - 14*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448071 is divided by 574606?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 + 5*d**2 + 7*d + 2. Let w be s(-4). Let j = -128 - w. Suppose 2*l + 5*k + j = 0, -8*l + 24 = -4*l - k. Solve 4*g - 15 = l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(192) - sqrt(192))\/sqrt(12))\/(sqrt(64)\/(sqrt(8)*-1 - sqrt(8)) - (sqrt(288) + sqrt(288) + sqrt(288)*1))*6.\nAnswer: 60*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -6980?\nAnswer: 6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/10 - 3*z**3\/5 + 2*z**2 + 12*z\/5 - 15. Factor t(d).\nAnswer: -(d - 2)*(d + 6)*(2*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 - 460. Let w = 560\/3 - 186. What is the closest to w in p, 0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 3*k**2 + k**3 + 6*k**2 - 10*k - 10. Let a(p) = p + 2. Let u be a(-10). Is o(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 155*m - 143 - 140. Calculate the smallest common multiple of 211 and m.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4345\/518 + 663\/74. Let u = -0.18 + -0.12. What is the third biggest value in 2\/7, c, 2\/17, u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 13143121?\nAnswer: -13143123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-923)\/104)\/(99\/792)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14*62)\/((-23)\/46). Let t be (-12)\/22 - j\/924. Solve 2\/3*r**2 + t + 2*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 1. Suppose 0 = -i*v + 10 + 5. Suppose -7*m - 2 = q - 3*m, 8 = -4*q + 2*m. Sort v, 2, q in descending order.\nAnswer: v, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**2. Let p(g) = -22*g + 67*g + 13*g**2 - 21*g - 24*g. Give p(m(t)).\nAnswer: 2925*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*t**3 + 176*t**3 + t**2 - 2 + 2 + 142*t**3.\nAnswer: 592*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2 - 4927998*z - 24639940 = 0?\nAnswer: -2463994, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184020125?\nAnswer: 5, 23, 64007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -4 (b) -1 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iceqei. Give prob of sequence qe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -18 - (3 + (-5 - -8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 8*s + 13. Let u(h) = 3*h**2 - 56*h + 40. Let x be u(18). Let l be v(x). Solve -l*k + 25 = -14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Suppose 0 = 4*q - q + y. Let n(u) = -2*u - u - u**2 - 3 + 0*u**2. Give n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 - 13 = 4*g, -8 = 4*g + y. Let h be (214\/3)\/(10\/15). Let j = h + -961\/9. Which is the second smallest value? (a) -5 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218370.\nAnswer: 2, 3, 5, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -42*o**3 + 7*o**2 + 39*o - 7. Let h(w) = 21*w**3 - 4*w**2 - 20*w + 4. Let u(g) = -7*h(g) - 4*k(g). What is the second derivative of u(a) wrt a?\nAnswer: 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004029 rounded to four decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45271 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2. Let w = 3 + -1. Let n(z) be the second derivative of 0*z**2 + w*z + 0 + 1\/2*z**3. Give j(n(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1374, -2644, -3914, -5184?\n\"Answer: -1270*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7099505 + 7099556 - 6*o - 11*o)*(1 + 1 - 1).\nAnswer: -17*o + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7757071886 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14 + 3*m**2 + 4*m - 2*m + 15*m + 0*m. Let u be h(-6). What is the highest common factor of u and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23292*s**3 + 15*s**2 + 8*s + 45461489 wrt s.\nAnswer: 69876*s**2 + 30*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 99*n**4\/2 + 7*n**3\/3 + n**2\/2 + 209*n + 7685. Find the second derivative of d(q) wrt q.\nAnswer: 1188*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*k + 48*k - 149 + 128)*(3*k**2 - k**2 - 4*k**2).\nAnswer: 44*k**3 + 42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -94.2. Let h = -4\/91 + 467\/273. Which is the closest to -1? (a) g (b) 0.32 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4284820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxtdcxoo. Give prob of sequence oo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2871061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122 is divided by 337.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -22504?\nAnswer: -22432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**5 + 106*k**4 - 26*k**3 - 207754*k**2 wrt k?\nAnswer: -360*k**2 + 2544*k - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -28*o**3 + 11*o**2 + 7*o - 3. Determine a(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 2*y**3 - y**4)*(-2 + 0 + 4) - 4*y**4 + 9*y**4 + 2*y**4 + 2*y**2.\nAnswer: 5*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3104, -3611, -4990, -7679, -12116, -18739, -27986?\n\"Answer: -73*q**3 + 2*q**2 - 2*q - 3031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -62777000 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002545103314 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.10076 + -0.37076. Which is the smallest value? (a) 0.01 (b) -3 (c) k (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrorroorrorroororc. What is prob of sequence roo?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1103001 (base 4) to base 6\nAnswer: 40333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10 + 13*h - 452*h**3 - 10*h**2 + 450*h**3 - 3*h. Let b(c) = c**3 - c**2 + c + 1. Give 10*b(u) - j(u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - 4*h. Let d be k(4). Let r(y) = y - 1 + d + 0 - 1. Let n be r(7). Solve -3*p - 4*c = 22, -n*c - 28 = 4*p - 0*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 728*m*n**2 - 8934812*m + 6497*n**2 wrt n.\nAnswer: 1456*m*n + 12994*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 328044432*i**2 + 2*i + 2*i - 328044435*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -169, -2 in decreasing order.\nAnswer: 3, -2, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191.000788 - 191. What is z rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblblbb. What is prob of sequence bl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:03 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 93. Let j be (2 - 2)*1*-1. Suppose -c + j*i + 17 = i, -2*i - 20 = -c. Calculate the remainder when o is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/(-57) - (-157)\/3. Let x = p - 45. Put x, -2, -4, 3 in increasing order.\nAnswer: -4, -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177425 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34868 and 644?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c - 16 = 0. Let x be 2\/c*(-17064)\/(-156). Let l = x + -93\/13. Calculate the common denominator of l and -50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(4*d - 4*d - d**2) + 3900 - 136*d**2 - 3900 - 2*d + 2*d + 13*d**2 as a*d + y + u*d**2 and give u.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 16*t + 63. Let r be j(19). Suppose 3*p + 16 = r*p - 4*k, 5*p - 4*k - 24 = 0. Factor 0 - 3\/7*h**2 - 15\/7*h**3 + 3\/7*h**p + 15\/7*h.\nAnswer: 3*h*(h - 5)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*k - 14 = 0, -3*k + 17 = -q + 3*q. Suppose 0 = v + 3*o - 38 + 12, -q*v + 5*o + 36 = 0. Let w = v + -46\/3. Put 2\/15, w, 1\/5 in descending order.\nAnswer: 1\/5, 2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*q = 3*a - 952 + 944, -3*q - 3 = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5754744 divided by -319708.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21000 = -2*b - 5*x, 21000 = -2*b - 4*x. Let y be (-20)\/((-21003)\/b - 2). What is y rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 - 4*m**3 + 1 + 1 - 4*m**2 + 3*m - m**2. Does 18 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 5\/723, 3\/464?\nAnswer: 5\/723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) -3 (b) 5 (c) -34 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 494 + -4?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -76*r**3 + 39220*r**2 - 5060928*r + 266256 = 0.\nAnswer: 1\/19, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -25. Suppose -u + 7 = -f*r, r = -4*u + 4*r + 11. Suppose -k + 4*z + 4 = 0, -u*k - 4*z + 20 = 3*k. Sort 3, 0, k in ascending order.\nAnswer: 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7613840 and 77\/1171360.\nAnswer: 15227680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21 - 4*v**6 - 8*v**4 + 2*v**2 + 2*v**6 + 3*v**6 + 2*v**4 wrt v?\nAnswer: 120*v**3 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.936294 - -0.029294. What is u rounded to one decimal place?\nAnswer: -29.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -987*h - 3. Let o = 9 + -10. Let j be b(o). Suppose 0 = 5*q - j - 2161. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 27. Let u(t) = t**2 + 12*t - 2. Calculate the remainder when u(c) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-11) - 54\/(-297). Suppose -9*k + 2*k + 266 = d. Let n = k + -38. Solve -r + 0 - 3 = n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86366\/81 or 1067?\nAnswer: 1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {s: 7, z: 3, b: 3, y: 1, r: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98366 or 99322?\nAnswer: 98366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 87 = -120. Let a = 38 + f. Suppose 11*t = a*t. Solve -4*j + 7*j + 6 = t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 123655*w + 13 + 15516*w + 27.\nAnswer: -108139*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 773 = p - 3*c, -3*p = -3*c - 147. What is the remainder when 180 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/15*-5 + -12)*-17. Let w(a) = a**3 + 8*a**2 + 7*a + 10. What is the remainder when 8 + r + -4 + 3 is divided by w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156810)\/14400 - -11 - 4\/40)*(-4 - -1)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s = 31*s - 385284 - 59223. Calculate the highest common divisor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3\/16 (c) 0.1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1407 and 394362?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let y be 2*1*(1 + 0). Suppose 0*p - 3*p = -v + 36, 3*v - 101 = y*p. Let j(c) = 14*c**2 - v*c + 33*c. Calculate j(w(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 6 + 46. Suppose -3*q = -f*q + 20. What is the lowest common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) - 29\/(-9). Suppose -3*b = 5*a - 2*b + k, -6 = a + 2*b. Let x be 1*(-4)\/(a - -1). Let j(p) = -3*p - 6. What is j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -54, -60, -68, -78, -90?\n\"Answer: -f**2 - f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 1, x: 2, d: 3, l: 1}. What is prob of sequence dr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 19*g - 23\/2*g**2 + 0 - 7\/6*g**4 + 0*g**3. Differentiate p(h) with respect to h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 + f + 3. Let w(q) = -18*q**3 - 2*q**2 - 2*q - 5. Calculate 2*n(p) + w(p).\nAnswer: -20*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 921 and 11?\nAnswer: 10131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.985 + 0.015. Let v = -51 + 36. Let p be (-2)\/8 + v\/(-28). What is the nearest to p in i, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1848316l to millilitres.\nAnswer: 184.8316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c + 12. Let p be -10 + -1 + (-5 - -7). Let x be n(p). Let j(m) = 0*m**2 - m**2 + x*m**2. Let u(d) = 3*d**2. Determine j(u(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -67*w + 1. Let j be a(-1). Let o be ((-136)\/17 - -75) + -1 + 3. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i + 150 - 302 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*h + 6 + 3*h + 6 - 4 - 15*h in the form l + v*h and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 1386?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(48)\/sqrt(4)*-3) + 0.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/42*-7*(-2)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -687? (a) -8 (b) -3 (c) -2\/115 (d) 5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 - 4. Let u = -208.2 + 208. Which is the smallest value? (a) h (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.121461485 from 5.4.\nAnswer: 5.278538515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 964 + 4?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3.1 (b) 1\/6 (c) 22 (d) 0.06 (e) -0.14 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - ((8 - 6) + 17)) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13834*g*z + g - 145*z - 22650942 wrt z?\nAnswer: -13834*g - 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.03 - 0.03. Let d = k + -15. Let r = -0.25 + -0.05. What is the nearest to -1 in r, d, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 5*h + 2*h)*(-2 - 6 - 1) + (2 + 3 - 8)*(-8*h + 5*h + 0*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, 25, -203 in descending order.\nAnswer: 25, 2, 1, -3, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 28*r**2 - r - 21. Suppose 4*w + 4*i + 51 + 77 = 0, 4*i + 44 = -w. Let f be b(w). Solve -2 = -2*n + 2*q, 5*n = 2*n + q + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*p - 9, 2*p = o + 2*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 p when four letters picked without replacement from {m: 9, l: 2, z: 1, p: 6}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -37 - 30\/(-12)*(-4)\/(-5). Let u = i + 70. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i**(-21\/4))\/i*i)**40 assuming i is positive.\nAnswer: i**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 27 = 2*d - 3*j, 4*d = 3*j + 24. Suppose -3 = -4*b + 2*g + 3, 2*b + d*g = -1. Which is bigger: -2\/15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 2010223541?\nAnswer: 2010223522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-63)\/(-27) - (2 - 1). What is the closest to 0 in -1\/2, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7*h**2 + 7*h + 9. Let k be (4\/(-6))\/(6\/54). Let t be i(k). Solve 7 = -g + 4*o, -2*g + 2*o + 13 = t*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p**2 + 3*p**4 + 12*p**2)*(-18*p + 33 - 33)*(4 - 1 - 4).\nAnswer: 54*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514169 is divided by 2116?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 517882657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324 + -333 - ((1 - 8) + 1) - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 1. What is the derivative of -3*r**2 + 2 - t + 2 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17.044. What is l rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175530 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 103.671+3.442532\nAnswer: 107.113532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hay when three letters picked without replacement from hahyhzah?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 118 - (-163 - -17 - -20)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2606037 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1996, -4010, -6044, -8110, -10220?\n\"Answer: -2*f**3 + 2*f**2 - 2006*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*f - 4 + 4)*(3*f**2 + f**2 + 0*f**2) + f**3 - 13*f**3 - 16*f**3 to the form c + d*f**3 + l*f**2 + v*f and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p**2 + 1577*p - 144. Give v(-83).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9646117 and -49\/4452054.\nAnswer: 57876702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l + 2*l + (0*l + 0*l + 4*l)*(-8 - 174 + 26) to z + y*l and give y.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 397*p**3 - 5*p - 10. Let t(z) = -199*z**3 + 2*z + 4. Determine 5*t(k) + 2*u(k).\nAnswer: -201*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - 1 - (-6 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {u: 6, m: 2, e: 1, o: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3\/7, 4\/41, 8\/5, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from zppxxxdqdxxpb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l + 29 = -5*a - 100*l, 2*a = 5*l - 29 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 36. Solve -45 = -19*d + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 204 and 205 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 113*l**3 + 10*l**4 - 18*l + 82*l + 178*l**3 - 360*l**2 + 181*l**3 = 0 for l.\nAnswer: -26, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2120001 (base 3) to base 16\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5145\/422625*(-200)\/(-140).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 39 = 71. Suppose 0 = 5*f - n - 1775, -l*n = -7*n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/4*(-4)\/(-1). Let w = n - 14. Let y be (3\/2)\/((-42)\/(-112)). Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let m(k) = -17*k**2 + 6*k + 6. Let y(a) = 340*a**2 - 119*a - 119. Let l(d) = -119*m(d) - 6*y(d). Determine v(l(q)).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6762799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24190.1 years in millennia?\nAnswer: 24.1901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p + 53438 - 27499 = 27307 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27787846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22417 + -22333. Calculate the greatest common factor of 861 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let d = l + 9. Solve d - 1 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 68 = 0. Let j be 3 + 7\/((-21)\/(-6)). Suppose -3*r - 150 = -3*h, 2*h + j*r + 22 = 94. Calculate the remainder when h is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-3) - 1\/3. Suppose g - 5*c = -1, 10*c - 5*c = -2*g + n. Suppose 0 = g*l - 35 + 15. Let s(j) = -1. Let p(z) = z - 6. Calculate l*s(m) - p(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -17174, -1\/12, 92 in ascending order.\nAnswer: -17174, -1\/12, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172714*x - 172988*x + 5480 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 3*z**4 - 2*z**4 + (-z + 4 - 4)*(-z**3 - z**3 + z**3) + (-5 + 5 + 6 - 3*z)*(2*z**3 - 3*z**2 + 4*z**2 + 0*z**3).\nAnswer: -8*z**4 + 9*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 2. What is p(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a hour?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 1.94. Is -2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/44331 and 125\/6.\nAnswer: 88662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21685 <= -21718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 = 152*c - 123 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + 47*j + 14. Let n be d(7). Suppose n*w - 15 = -2*w + 3*x, -6 = 2*x. Solve -2*t - 3 + 5 = -4*z, -w*t = 2*z - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33436643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6029.\nAnswer: 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let b(w) be the third derivative of w**7\/40 - 19*w**5\/6 + w**2 - 55*w. Let v(s) be the third derivative of b(s). Determine q(v(g)).\nAnswer: -126*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/2 - 39*v**2\/2 - 39*v. Let u be w(13). Solve -5*t - 3 - 12 = u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 7*k**4\/24 - 2*k**3\/3 - 2*k**2 + 7*k. Let n(p) be the first derivative of v(p). Is n(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 + 1\/4*b**4 + 0*b**5 + 7*b + 0*b**2 - 1\/10*b**6 + 0*b**3. Factor m(x).\nAnswer: -3*x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 29*a - 167*a**3 - 23*a + 54*a - 3*a**4 + a**4 to the form j*a + x*a**3 + q*a**2 + t*a**4 + r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/102015 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((7 - -7) + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 = 2*z, 5*q = q + 2*z - 2. What is the derivative of -2*u - 4 - q + 5*u + 6 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uff when three letters picked without replacement from kqquff.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (-1*sqrt(10)*-2*3)\/(sqrt(250)\/(sqrt(45) - sqrt(5))).\nAnswer: -1 + 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1f8b51?\nAnswer: -1f8b4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1842993)\/6714)\/((-9)\/2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68180281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149349 or 1045447\/7?\nAnswer: 149349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*q - 8784 + 8797, 2*o + 22 = -3*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111039 + 193196. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -684*v - 25346. Determine y(-37).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 17*p - 19. Calculate a(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:42 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:21 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -320, -608, -914, -1244, -1604, -2000?\n\"Answer: -i**3 - 3*i**2 - 272*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*t - 2*d + 31, -5*d - 35 = -t. Let l = -63 - -67. Suppose -4*y - 5*n + t = 0, -4 = -y - 3*n + l*n. What is the nearest to -0.01 in -1, y, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*s - 10 = -g, -5*s - 10 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 486.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5366192934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*c - 51, -4*t + 24 - 84 = -4*c. What is the greatest common divisor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626079.\nAnswer: 7, 13, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-9) - 8\/(-36). Suppose 0 = -2*t - r*v - 2*v, 5*v - 6 = -4*t. Suppose -t*x + 7 = -33. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -51.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1 + sqrt(108) + sqrt(108) + -2 - -2*2*sqrt(108))**2 + (sqrt(192) + -4)**2*-5 + -5.\nAnswer: 68*sqrt(3) + 4256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3723257 micrograms?\nAnswer: 0.0003723257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + 30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 17. Suppose 0 = 5*i - s*u - 60, 2*i + u = 6*u + 7. Let t = i - 12. Solve 0 = -t*q + 2*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 2.04. Let x = 2.4 - 0.5. Let c = x + k. What is the closest to c in -1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137017117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3758, -3784, -3812, -3842?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/(35 + -44)*(-2 + (-4)\/(-24))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuzauzzzzvauazz. What is prob of picking 2 z, 1 v, and 1 a?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 201193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -12. Let b(d) = -d**2 + 0*d**z + 0*d**2. Let n(f) = -2*f**2. What is n(b(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v - 120. Let t = -23 + v. What is the remainder when t is divided by (11\/3)\/(8\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 - 42 = 25*d - 3*v, -10 = -5*d - 5*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*n + 2723 = -2932 - 6787 - 6934 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/2 - (-3)\/(-6). Solve -s + x = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*2 + -1*sqrt(88)*1)\/(4*sqrt(32)*-5).\nAnswer: -3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*z**4 - 151665*z**3 + 5577*z**2 + 5*z - 228 wrt z?\nAnswer: 1704*z - 909990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -87\/2*o**4 + 5046*o**3 + 126*o + 0 - 292668*o**2 + 3\/20*o**5. Factor k(t).\nAnswer: 3*(t - 58)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205566538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 11. Let y(s) = 505*s + 494*s - 1498*s - 2*s**2 + 499*s. Give y(o(r)).\nAnswer: -2*r**4 + 44*r**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 10590*l**3 + 5564885*l**2 + 45028680*l + 90397520.\nAnswer: 5*(l - 1063)**2*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 144?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558177 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*(-2675)\/(-1605).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6. Let y be (-2752)\/128 - (-3)\/2. Give p(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44170 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 110, 190, 266, 332, 382, 410, 410?\n\"Answer: -b**3 + 4*b**2 + 75*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/6*3*-142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + -10211022?\nAnswer: -10202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 49271948.31 to the nearest 1000.\nAnswer: 49272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - -32. What is the first derivative of 130*t - n*t - 25 + 25*t**2 wrt t?\nAnswer: 50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -637 + 9557\/15. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -d - 6, -d - 30 = j - 6*j. Suppose -s + j*s = 0. Suppose s = 3*h - 7*h + 76. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-27 + 27 + 6*q**5)*(2 - 24 - 30).\nAnswer: -624*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 - 7*k**5\/60 - k**4\/4 - k**3\/3 - 2*k**2. Suppose -3*r + 9 = -2*a, -4*r = -77 + 81. Give o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k)**(7\/4)\/(k**(-1))**(-40)*(k**(-4)\/k**0)**(-15\/11) assuming k is positive.\nAnswer: k**(-380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d\/(d\/(d*(d*d**(-3))\/d)))\/(d**3\/((d\/(d*(d*d**(1\/6)\/d*d)\/d))\/d)))**(-2\/77) assuming d is positive.\nAnswer: d**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 638.482?\nAnswer: -637.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*k - 751*k = -160 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n**(1\/23)\/n*n)))**(-17)\/(n**7*n)**(-22))**(-20\/3) assuming n is positive.\nAnswer: n**(-21660\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01352235 rounded to four decimal places?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3162900 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*50\/15. What is the tens digit of 1 + r - (6 - 108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22789398*w**4 - 2*w**2 - 72422371 wrt w.\nAnswer: 546945552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-95)\/(-456))\/(15\/9). What is the smallest value in -5, s, 6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2006*y + 15*y**2 + 2006*y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**4*p + j**3*p - 103*j**2*p + 19*p - 9 with respect to j.\nAnswer: -8*j**3*p + 3*j**2*p - 206*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (-3*(sqrt(1573) + 0 + sqrt(1573)))**2 - ((sqrt(1573) + 1)**2 + -3).\nAnswer: -58199 - 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/8 - 4*w**2. Let g(t) = -15*t. Let m = -773 - -768. Calculate m*g(n) + 24*s(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 6:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24214938 and -131\/36.\nAnswer: 145289628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69315, -141395, -213479, -285567, -357659?\nAnswer: -429755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125 and 1.4.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.01 (b) -0.2 (c) 0.1047 (d) 4\/3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11200 and 8301125?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4\/5 (c) -2\/9 (d) 36 (e) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 63 = -4*k, -3*k + 5*a = -49 + 3. Calculate the remainder when 45 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215064 (base 8) to base 16.\nAnswer: -11a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((sqrt(128)\/(sqrt(8)*2))\/(sqrt(88)\/(-2*sqrt(11))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 5*f + 2. Let s(n) = 2*n**2 + 6*n + 3. What is -3*b(u) + 2*s(u)?\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -35*n - 500. Let s = n - -116. Solve -4*c = -4 + s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**2 - 8*y + 39. Let s = -830 + 837. Suppose -45*w - s = -41*w - 5*g, 2*w + 3*g = -9. Let x(u) = 5*u**2 + 3*u - 13. What is w*m(h) - 8*x(h)?\nAnswer: 2*h**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9225 and 490975.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - g)*(-18 - 17 + 32 + 2*g**3 + 2*g - 3*g**2) as m*g**2 + h*g + i + o*g**3 + a*g**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 1, 3, -10 in increasing order.\nAnswer: -10, -1.8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3155196 by -492.\nAnswer: -6413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7849 - 7849.00023963. Round y to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 10 - 9)*(-30057*s - 2*s**3 + 30057*s + 731) in the form q*s**3 + t + x*s + m*s**2 and give t.\nAnswer: -10965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)\/c*c**(1\/5)\/c*((((c*c\/(c\/c**(2\/7))*c*c)\/c*c)\/c)\/c*c)**(2\/5) assuming c is positive.\nAnswer: c**(-206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-52 + 40)) + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2 - 2 + l + 3 + 0. Let y(h) = 10*h - 8. Let t(s) = -8*o(s) + y(s). Let n(z) = -3*z**2. What is t(n(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 4. Suppose -o + 3 = -x. Let z(n) = -14 + n + 0*n - 7*n + o*n. Calculate z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1990 + 12388 = -7*q. What is q rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -21)\/(0 + 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(-1 + sqrt(1377) + sqrt(1377) + -2 - (sqrt(1377) + -1)*2)**2)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/86 in 1835, -0.5, -10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)\/r**(-20))\/(r\/(r**38\/r))**(4\/11))**(-40) assuming r is positive.\nAnswer: r**(-14384\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*6\/(-8)*(-560)\/(-252)*(-72)\/30\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 629947, 630201, 630455, 630709?\n\"Answer: 254*s + 629693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 732559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 11:06 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300440)\/(-83650) - 6\/35*21?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -4*h + 832. Suppose -11*p - h = -460. Does 36 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1858446 by -603.\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 (base 10) in base 13?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b + 1 + 52*b - 2 - 2*b.\nAnswer: 66*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.14 - 0.467. What is v rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39724.\nAnswer: 2, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 768152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 + 0.37. What is the closest to q in -2, -0.03, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 + 26 = 4*s, 17 = j + 3*s. Suppose -2*m = j*m - 20. Solve c + 16 = 3*g, -m*g - 2*c = -c - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -17\/6, 0.4, -1, -784\/17, -5\/3?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010 (base 3) to base 8.\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 6867*f - 41310 = 0. What is f?\nAnswer: -6, 2295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1181706.057 milliseconds to weeks.\nAnswer: 0.0019538790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -20. Let t(k) = 3 - 8*k**2 + 15*k + 2 + 4 + v - k**3. Is t(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**3*s**4 + r**3*s**2 + 2*r**3 + 2*r**2*s**2 - 20*r*s**4 - 10583*r*s**2 - 14*s**4 wrt s.\nAnswer: -264*r**3*s - 480*r*s - 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.22 - 0.78. Let b = 6 + n. What is the second biggest value in 10, b, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3313, -6626, -9939, -13252, -16565?\nAnswer: -19878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 1241*g + 32455. Let k(c) = 3*c**2 + 827*c + 21637. Let s(t) = 7*k(t) - 5*m(t). Factor s(l).\nAnswer: -4*(l + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*i + 10 = 4*x, -3*i - 4 = 4*x. Solve -4*p - 13 = -5*w - 3, 0 = 3*p - x*w + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 78 = -0*w. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2810*s - 2806*s - 117*x - 93, -4*s = -x + 23 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1386*n**3 + 8*n**2 - 4*n. Let f(l) = 6929*l**3 + 44*l**2 - 22*l. What is -2*f(b) + 11*q(b)?\nAnswer: 1388*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 264 = -3*b + 17*z, -z = -6. Solve b = -21*l + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 4, s: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:35 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:43 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140415?\nAnswer: 3, 5, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 78 + 22 = 0. Is ((-90)\/q)\/(1\/15) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:09 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 108. Let a = 130 - 131. What is the remainder when l is divided by 12 + (1\/a - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112100 + 112100.4. Let l = -8.2 - -9. Let i = 3.2 + l. What is the nearest to -1 in x, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6 - 2. Find the third derivative of -20*q**4 - 3*q**2 - 2*q**2 - 3*q**2 - 4*q**y wrt q.\nAnswer: -480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 11, f: 2, p: 7}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 81. Let k be 1\/(1\/j + 0\/5). Suppose -k*q + 46960 = 3*q. What is q rounded to the nearest one hundred?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 29 = 9. Let o(q) = 6*q**2 + 1. Let k(i) = -7*i**2 - 1. Give z*k(g) - 5*o(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4128952 (base 11) in base 14?\nAnswer: -d7a17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83687 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -4*d + 21. Sort 1, -7, 0, d.\nAnswer: -7, d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 296 = 4216. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**3 + 5\/3*n**5 + 20\/3*n**4 - 20\/3*n + 0 - 20\/3*n**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/8))**(-3\/7)*(m*m**(7\/8))\/((m**(10\/13)\/m)\/m))**4 assuming m is positive.\nAnswer: m**(916\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1600, 3117, 4634?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:22 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -628548\/13 >= -48351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -36. Let a be 88*(v\/(-4))\/6. Let n = a - -39. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 873 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/3))\/w**(2\/13))**(-1\/6) assuming w is positive.\nAnswer: w**(-59\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 14, -181, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**4 - 11*l**4 - 12*l**4 + (-4*l**3 + 2*l**3 + 3*l**3)*(-4*l - 2*l + 4*l) + 5*l**4 - 3*l**4 - 3*l**4.\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + 5. Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (522*b**2 + 442 - 222 - 220)*(7*b - 7*b + 8*b).\nAnswer: 4176*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 269 + 148 + 157.\nAnswer: 2*m + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 156\/19, 2881, 3?\nAnswer: 2881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**3 + 4*x**3 + 4*x**3 - x**3 - 2*x**3 + x**3 + (x + 2 - 2)*(-2*x**2 + 3*x**2 - 3*x**2))*(7 + 7 - 3 + 2*x)*(3 + 0 - 2).\nAnswer: -6*x**4 - 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -29. Let f = u + -13. Let g = -81.9999866 + f. What is g rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1543, 2896, 3805, 4048, 3403, 1648?\n\"Answer: -37*l**3 + 1612*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -32 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -4 (c) 26 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 823 - 894.8. Let f = -72 - n. Let i = -6 - -5.9. Which is the second smallest value? (a) -5 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/6)*d*d*d)\/(d*(d*d**(1\/3))\/d*d*d))\/(d\/d**(-1\/4)*(d*d**(-5))\/d*d) assuming d is positive.\nAnswer: d**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - ((-35 - -23) + 8 + -3 - -4 - -11).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 21*c + 4. Let v(p) = -p**2 - 7*p - 3. Let h(d) = 2*d**2 + 15*d + 7. Let n(i) = -2*h(i) - 5*v(i). Determine -2*j(o) + 9*n(o).\nAnswer: o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = -58*c + 195130. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -5*b + b + 20 = 4*h. Let n = b + -9. Is 3 a factor of (-1)\/n - 34\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 292637212085*u**2 + 146318606041*u**2 + 1 + 146318606043*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -7. Let f(q) = -28*q - 3. Let v(m) = 169*m + 10. Let z(x) = 6*f(x) + v(x). Give z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -153*j - 18. Let g be k(-1). Suppose -14*f = -23*f - g. Let z(l) = -l**3 - 16*l**2 - 15*l + 3. Calculate z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74394*u**2 + 55115*u wrt u?\nAnswer: 148788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - u)*(2*u**2 - u**2 - 2*u**2) - 248*u**2 + 248*u**2 + 2*u**3 - 1.\nAnswer: -3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**2\/2 - 4*z - 7. Let s be (-2 + -2)*6\/4. Determine y(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 5*u - 17. Let i be n(-6). Suppose -49*c - i = -54*c, 0 = 3*v + 5*c - 475. What is the highest common divisor of 125 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(432)*-1*6 + sqrt(432) - (sqrt(75) + 6*(-2 + sqrt(75)) + -1)))**2.\nAnswer: -2090*sqrt(3) + 27196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-161)\/15)\/(-2). Let l = v + 31\/5. Let m be 16\/6 - (-4)\/(-2). What is the closest to -2\/5 in 3, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2332750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13739 - 13764. Put -3, c, -1.1, 0.5 in increasing order.\nAnswer: c, -3, -1.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141312573 is divided by 1824.\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 1742293?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962744 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 22*r**2 - 16*r - 97. Let u be m(21). Let c be 26\/(-10) + 12\/(-30). Sort c, 1, 3, u in ascending order.\nAnswer: c, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -863 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -474480*l**2 + l - 1. Let r(o) = 4*o**2. Calculate w(r(k)).\nAnswer: -7591680*k**4 + 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5469144 centuries to years.\nAnswer: 54.69144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145645, 582637, 1310991, 2330719, 3641833, 5244345, 7138267?\nAnswer: 9323611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9916 - 9916.05. Which is the third smallest value? (a) i (b) 58 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3*v**2 + 2*a**3*v + 499*a*v**2 + 789*v wrt v.\nAnswer: 10*a**3 + 998*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-2*sqrt(363)*1 - (sqrt(363) + sqrt(363) + 0 + sqrt(363) + -3)))**2 + 1.\nAnswer: -49500*sqrt(3) + 1362601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 10, k = 3*q + 24 + 12. Let r(l) = -2*l + 4. Let w be r(-3). Calculate the highest common factor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5 - 10 + 4 + 5*r - 1. Let y = 12 - 2. Calculate the remainder when o(4) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -317*k*w**2 - 380*w**2 with respect to k.\nAnswer: -317*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/792693 and -61\/314160?\nAnswer: 443908080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 17*s + 15. Determine n(11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -5, 4, -3, 390 in ascending order.\nAnswer: -5, -3, 3, 4, 5, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(95)*-2)\/sqrt(5) - ((1*sqrt(114))\/sqrt(6) + sqrt(19)) - ((sqrt(209)*2)\/sqrt(11) - sqrt(57)\/sqrt(27))))**2.\nAnswer: -136*sqrt(19)\/3 + 5635\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 29. Let m = -58 + 56. What is the remainder when 91 is divided by v(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2192602294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - (15918\/1920 - 7) and 2 - 2\/(8\/107).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:41 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-40)*(-16)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9198 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -76.4. Which is the third biggest value? (a) t (b) 1\/62 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 26*s + 22. Let r be l(8). Let n(m) = 16*m - 18. Let j(h) = 3*h - 1. Let z(q) = 5*j(q) - n(q). Determine z(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 11*y. Let z(g) = -7*g**2. Give i(z(b)).\nAnswer: -245*b**4 - 77*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -24. Suppose 0*z + 11 = z. Let a = m + z. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 34158*k - 341587. Determine b(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13980 + 41941\/3. What is the closest to 10 in 3\/2, d, -2\/15, 0.26?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (-5 + sqrt(448))**2 + 3.\nAnswer: -72*sqrt(7) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5 - 169180*i**4 + 6605275*i**3 - 11857030*i**2 - 26421020*i + 50135000 = 0.\nAnswer: -33875, -2, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139472167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.621 + 0.121. What is the nearest to 2\/3 in -4, -1\/4, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2 + -3 - 123\/(-27))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, b: 2}. Give prob of sequence bbgg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - v - 5)*(-2*v**3 + 0*v**3 + 3*v**3) + (4*v - 4*v - 3*v**4)*(-31 + 148 - 65).\nAnswer: -157*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4. Let y = m - -4. Let d = y + -2. What is the highest common factor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**2 - 4*y - 2. Let t(u) = -23*u**2 - 5*u - 4. What is -5*k(q) + 3*t(q)?\nAnswer: -9*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 - 10*q**2 - 18. What is x(4)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 11*d**4\/4 - 8*d + 10. Find the first derivative of p(n) wrt n.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52287 - -2509939\/48. Let c = 79\/144 + g. Find the common denominator of c and 34\/(-32) - (2 - 1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -175*h + 2. Does 32 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37629998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 + 11*l + 8. Calculate x(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19864*q - 39702*q + 10549 = -19975*q for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 2\/97, -15, -3 in decreasing order.\nAnswer: 4, 1\/3, 2\/97, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 237 - 108 = 65*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*x*z + 198*n**3*z - 157*n**2*x + n**2*z + 2*n**2 + z wrt n.\nAnswer: 6*x*z + 1188*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**13\/u**25 assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/50 + -2 + -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/4)\/(7 - 51\/8). Is (829570\/(-15))\/(-7) - m\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675658155 to the nearest integer?\nAnswer: 25993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(15)\/sqrt(5)*3 + sqrt(108) + -1*sqrt(108) + sqrt(108))**2*6.\nAnswer: -8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 255*s**2 - 1038*s + 4. Calculate d(4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 91 = 60*i. Solve 4*g + 2*m + m - 32 = 0, -i*m = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - 9*l - 11. Let q be k(-7). Sort q, 4, -2 in decreasing order.\nAnswer: 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4194 - -4202. Solve -c*j = -15*j - 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 425\/510*(-3978)\/(-65)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5 - 3 - 3 + 6*h. Suppose 0 = 2*d - 381*i + 390*i + 87, 3*d = 5*i + 73. What is w(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and (-6)\/16 + 40235\/520?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) 0.1 (c) -11\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.90378 rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.04.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(400)\/(sqrt(10)*1))\/(sqrt(10)\/(sqrt(8)\/sqrt(4))))\/(sqrt(144) + 1*sqrt(144)*-2 + sqrt(144) + 1*(sqrt(144) - sqrt(144)*-1)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 5. Let k be n(0). Are k and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2 - 10*f - 5. Let t(y) = 7*y**2 + 12*y + 6. Let u(i) = 6*c(i) + 5*t(i). Let q(r) = 360*r**2. What is u(q(z))?\nAnswer: -129600*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s + 12*s + 12*s + (6 - 1 - 2)*(-5*s + 5*s - 2*s)*(-2 - 1 + 2).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 35 - 77 + 44.\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -338*v + 3. List the prime factors of f(-25).\nAnswer: 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4167 + 3*m - 3*m - 2*m - 14*m**3 - 4167.\nAnswer: -14*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81349012067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*i**2*k*p**3 + 2*i**2*k*p**2 - 935*i**2*k + 105*i**2*p**3 + 2*k*p**2 - 3*p**2 wrt p?\nAnswer: 564*i**2*k + 630*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40465*k - 4323726 = -40519*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)\/((-1)\/(-23)). Suppose w = 3*t - 5*i, 4*i - 8*i = 2*t - 60. Calculate the least common multiple of t and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/742 and -65\/99428.\nAnswer: 99428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 36. Let v be (5 + w\/(-12))*3. Suppose 0 = 4*s + 3*c - 34, -3*s - 3*c + 27 = -0*s. Calculate the highest common factor of v and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtdj when four letters picked without replacement from tddrddtdddjjtrj?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**3 + 18*k*s**3 + 54*s**3 + 9 wrt k?\nAnswer: 12*k**2 + 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 20. What is the third biggest value in -1, 2\/5, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*d + 28*d - 11*d**2)*(3 - 3 - 2*d + (-1 + 3 - 25)*(d + 5 - 5)) in the form s*d + k*d**3 + r*d**2 + z and give k.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 + 115.2. Let u = 13.4 - p. What is the nearest to u in -0.1, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30002 is divided by 14893?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 110 = -3*t, -33 = v + 6*t + 3*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -2*c + 57 - 108 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 666*s - 69. Let m(g) = 98*g - 10. Let j(v) = 27*m(v) - 4*q(v). Give j(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18117 or -18133?\nAnswer: -18133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63\/8 + 535\/72. Let b = -0.46 + 0.06. Let h = 4\/103 - -499\/412. What is the third smallest value in m, b, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239253, -4957049, -11153379, -19828243, -30981641, -44613573, -60724039?\nAnswer: -79313039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6480, -12995, -19510, -26025, -32540?\n\"Answer: -6515*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*2\/(-2). What is the nearest to 0.2 in -1, 2\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 55603b?\nAnswer: 556041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 18. What is the smallest value in f, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -21. Suppose -6 = 4*j + 3*y - 3, b = -4*y - 20. Let h be (8 + -1)\/(11 - 10). Solve 6 = -5*o - 4*k, -o - k - h = j*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 80 + 29)*(0 + x + 0)*(2 - 1 + 9).\nAnswer: -250*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/8, 9, -1.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.5, 0.5, -31, 1\/31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29812616 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*v - 163*v + 965*v.\nAnswer: 1110*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20\/(-5) - 1420\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28802.935927 + -28803. Let s = g + 0.064. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1940, -3880, -5820, -7760, -9700, -11640?\nAnswer: -13580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33059*p**3*t**3 - 351*p**2*t**3 - 38248877*t**3 wrt p.\nAnswer: -99177*p**2*t**3 - 702*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.7 (b) -21 (c) -1354 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/360 - 3*c**2\/2 - 4*c. Let h(y) be the first derivative of d(y). Factor h(n).\nAnswer: n**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-4 + sqrt(12) - sqrt(3)))*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68154\/11 + 6196. Suppose 10\/11*i**2 - 16\/11*i - g*i**3 + 8\/11 = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000633 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254366928 divided by -1272.\nAnswer: -199974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxpxpoxooxxxxooxxxpx. What is prob of sequence ppop?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -4732 + 14182\/3. What is the second biggest value in -4, x, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**8\/294 - 11*d**7\/245 + 19*d**6\/105 - 19*d**5\/70 + 5*d**4\/42 + 9*d**2 + 12. Suppose h(t) = 0. Calculate t.\nAnswer: 0, 1\/4, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 63 = -9*u, 0 = 2*u - 1973 + 1967 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*o**3 - 910*o**3 + 1235*o**3 + 361*o**3 + 1955*o**3.\nAnswer: 3145*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)\/(6 - 52\/(-8))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-8 + 0)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 4. Let v(g) = -g**2 - 6*g + 1. Let n be v(-5). Let m = i + n. Solve -m*w - 10 = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35757 and 450?\nAnswer: 35307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76278.14 decades in months?\nAnswer: 9153376.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n - 5. Let u be g(6). Let v be 17\/(-85) - 2\/(-10) - 15. Let z be ((-12)\/v - u) + 0. Which is the closest to -1\/4? (a) z (b) 4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 18 = -4*j + 6, j - 4*w = -9. Suppose 4*c + 3*l = j*c - 25, -3*l + 27 = -3*c. Let h(g) = 2*g. Let m(v) = -v. What is c*m(r) - 6*h(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from tsttzssbzzuubzsubbz.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 + 5147 = -1779*z - 157*z - 17063 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d32 (base 14) in base 16?\nAnswer: -14d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1065 - -1066. Which is the closest to -5? (a) 2 (b) 5 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607913 is divided by 121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163472850 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 1 m when three letters picked without replacement from mrryrpymmyy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, 2263, 0.22, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132747832.\nAnswer: 2, 7, 17, 19, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 greater than or equal to -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 73\/221018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19188 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.34693 millimeters to kilometers.\nAnswer: 0.00005334693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -14182169864?\nAnswer: 14182169863.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 + 56 = 0. Which is smaller: 17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((3*-3*sqrt(130) - sqrt(130))\/sqrt(10) + sqrt(104)\/sqrt(32)*6)*2 + -2)*1.\nAnswer: -56*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 65. Let p = h + 41. Solve -3*z + 3*q + p = -2*q, 4*z - 14 = 5*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.70794735 rounded to two decimal places?\nAnswer: 29.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 22 - 41*x - 1)*(-1 + 1 + 5).\nAnswer: -205*x + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -6*h**5 - 44*h**4 - 34*h**3 + 92*h**2 + 40*h - 48 = 0?\nAnswer: -6, -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arddrdrdd. Give prob of picking 1 d, 1 r, and 1 a.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + y - 3*y + (7 - 3 - 2)*(3 - 3 - y))*(-3 + 3 - 2) - 4*y + 11*y + 0*y)*(-3*y + 4*y + 5*y).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/65 (b) -5 (c) 4 (d) 6\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -2*t. Let x be t*(-2)\/(-12) + (-20)\/3. Let g(k) be the second derivative of -k**5\/20 - 7*k**4\/12 - k**3\/3 - 9*k**2\/2 + 267*k. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (52\/12 - 2) + (-1)\/3. Which is the closest to l? (a) -0.7 (b) 2\/7 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*d + 2 + 8, -2*b + 28 = -4*d. Suppose 0 = -y + 28 + b. Let v(n) = -15*n**3 + 3*n + 2. What is the least common multiple of v(-1) and y?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805664303?\nAnswer: 3121, 258143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 17 = 3*s - 3*p, -3*s + 2*p - 14 = 0. Let r = s + -1132. What is r rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*o**2 + 744025*f**2*o*z - 2*f**2*z + 2*f*o**2*z - f*o*z + 437965*z wrt f.\nAnswer: -2*o**2 + 1488050*o*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 + 368. Let r(w) = -19*w - 1. Let o be r(-1). Calculate the highest common factor of s and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 5*h**2 + h + 4. Determine c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -543 - -1111. List the prime factors of j.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 1183, 1906, 2649, 3418?\nAnswer: 4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w. Let m(k) be the second derivative of k**4\/12 + 15*k**2\/2 + 4*k + 15. What is c(m(n))?\nAnswer: -3*n**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -9 (c) 2 (d) 31.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Suppose 6*u + 96 = 240. Suppose 2*y = -10*y + u. Let x(m) = 59 - 59 + 14*m**2 - 18*m**y. Determine r(x(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2734, 2755, 2798, 2869, 2974?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210308)\/56980 - (-4)\/44?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) -462\/29 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 7*w + 645 + 203 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*f - 22 = 0, i - 3*f + 4*f = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:22 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 15 (b) -0.5 (c) 4\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3121*a + 439. What is the hundreds digit of i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*k = 4, 4*k - 4 = -m + 7*k. Solve -m = 3*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-14) - 22\/(-4). Solve 0 = -y + t*b + 18, -b - 32 + 18 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660270046 to the power of 1\/3, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 - (-66)\/8. Let g(m) be the second derivative of m**4\/12 - 4*m**3\/3 + 11*m**2\/2 + m. List the prime factors of g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -9 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 40, 85, 148, 229, 328?\n\"Answer: 9*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-6))\/(16\/(-1992))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -61 - (2 + -1). Let x = h - -44. Let u = x + 23. Solve v - u*l + 5 = 12, l = v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/1 - 55\/(-44) - -7.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 20*w - 2. Let o(f) = 4*f**2 + 80*f - 8. Let t(v) = 9*b(v) - 2*o(v). Let a be t(-11). What are the prime factors of a\/(-11) + (-16)\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u)*(-367 - 23*u + 367)*(-4*u + 3*u + 2*u) + 5 - 5 - u**3 + 0*u**3 - u**3 + 0*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/2 + 141712*b + 10041145472 = 0.\nAnswer: -141712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289\/1030 - -2\/103. Suppose -3 = 5*u + 2. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 40*v**3 - 6 - 2*v + 43*v**3 to u + y*v**2 + a*v**3 + h*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10498?\nAnswer: 2, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -820 + 824. What is the third smallest value in 0.3, a, 1\/5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 5, 4*w = -4*f + 16. Let q = 1 - -2. Suppose -5 = 2*k - q. Put w, -5, k in descending order.\nAnswer: w, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*f + 5*s - 29, 5*s = 3*f + 19. Solve -k - 2*w = -1 + 5, -f*k - 5*w = 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 322 = -i + 327, 14*i - 240 = -5*y + 67*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + u + 2*u)*(-u - u - 3*u) + 71*u**2 + 3367 - 3367 - 3 + 2*u**2 + 3 to y*u + g + x*u**2 and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(275) + 3)**2 + 1 + 3 + -2*sqrt(11).\nAnswer: 178*sqrt(11) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011001001 + 100?\nAnswer: 110110011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -27. Sort r, -8, 4 in decreasing order.\nAnswer: 4, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 + 111. Let a(l) = 3 - 1 + 8*l**2 + 15*l - l**3 - 21 + j*l**2. Calculate the remainder when 49 is divided by a(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 3*n + 0*n + 3 + 0. Let o be z(3). Which is the second smallest value? (a) -1\/5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -8632.\nAnswer: -7\/8632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/15 + u**3\/3 - 767*u**2. Let p(x) = -4*x**2 - 2. Calculate 4*p(g) + 3*v(g).\nAnswer: -4*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00228789202 to seven decimal places.\nAnswer: -0.0022879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 196, 309, 442, 601, 792, 1021?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 1. Let a be z(3). What is the remainder when a*(5\/(-2) + 2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f5 - -5f84?\nAnswer: 6379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -152.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -61*y**2 + 4*y + 2. Determine i(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -43. Let u = p + -26. Which is the third biggest value? (a) 0 (b) u (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose 3*g + 4*k + 7 + 7 = 0, 3*g - h*k - 16 = 0. Suppose w - 13 = -2*r - g*w, r + 4*w - 9 = 0. Solve u - r*y = 5, 3*u + 2*y + 3 = 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 3*u**2 + 2*u**3 - 8*u**2 - u**3.\nAnswer: u**3 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l - l + 2*l + 3*l. Let a(j) = -15*j**2. What is a(c(f))?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2)*(1 + 0)*139. Let w = y - -144. Which is the third biggest value? (a) -1 (b) -2\/3 (c) w (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7982 - 1.4982. What is the fourth biggest value in -5, -3, 0.4, l, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94752 divided by -7896\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 5*k - 350610 + 350563, -4*k + 36 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:59 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:55 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 20, 26 in ascending order.\nAnswer: 0, 3, 20, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13865 = -2*x + 42*q - 45*q, -q = -2*x + 13853. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-60)*(-292)\/73. Which is the closest to -1? (a) x (b) 2\/13 (c) 1 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001516335 rounded to 7 dps?\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (35\/5 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21119876 divided by 15\nAnswer: -21119876\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {j: 1, i: 6, v: 12}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204782 + -12?\nAnswer: 204770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*w - t - 0, -3 = -3*w - 3*t. Let d be (-2)\/(38\/(-1951))*168\/(-24). Let y = d - -719. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -201436*q*x**2 - 60*q - 1019 wrt x.\nAnswer: -402872*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 166. Calculate the greatest common divisor of m and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Let l(g) = -4*g - 14*g + 16*g + 6 - g**2. Let x(v) = 2*v**2 + 4*v - 11. Calculate y*x(u) + 7*l(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12*s**2 + 1. Let z(q) = q**2. Let a(f) = j(f) - 4*z(f). Let v = 3 - 2. Let t be a(v). Calculate the highest common factor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 39\/(-2)*6\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/9 + (-2)\/(-1). Let m(u) = u**2 + 0 + a + 4*u**2 + 10*u - 2*u**2. What is the tens digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/40707 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 - 0.4. Let n = -111 + 193. Let o = -77 + n. Sort -0.5, o, z in descending order.\nAnswer: o, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(42\/(-1757)))\/(((-26)\/(-288))\/(-13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3093719238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 27*w**3 - w**2. Let f be -2*(-9 + (-153)\/(-18)). Let j(x) = x**2. Calculate f*c(s) - j(s).\nAnswer: 27*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5940762 divided by -46?\nAnswer: -129147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -31. Let n be (-141)\/o*(6 - (-1 + 3)). What is the remainder when 135 is divided by 1 + 1 + -3 + n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/5 + 345696*p\/5 + 155437376\/5.\nAnswer: 4*(p + 452)*(p + 85972)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*n**2*z - 116*n**2 with respect to z.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 317469.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Suppose -3*t = -c*i - 5*t + 2443, 0 = -3*i - t + 1465. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (2 - 17))\/(12\/(-52)). Calculate the highest common factor of 10465 and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(19)*3 + sqrt(171) + 1 + sqrt(19) + -1 + (sqrt(76) - (sqrt(76) + -1*(sqrt(76) + 1 + sqrt(76)))))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 297*x + 2588. What is g(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-20)\/(-12))*3. Let t(c) = -c**2 - 34*c - 143. Let h be t(-29). Solve -6*w = -h*w + l, -r*l + 23 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112105 (base 9) in base 13?\nAnswer: -24749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -25. Let n = -25.93 + 25. Let d = n + -0.07. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6680.4 * 262\nAnswer: 1750264.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 258885333 to the power of 1\/2, to the nearest integer?\nAnswer: 16090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -698*q + 52. Let o be g(1). Let l = 643 + o. Which is the nearest to -0.1? (a) 0.2 (b) -8\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 51*v - 7. Let h(p) = 102*p - 13. Calculate -11*a(f) + 6*h(f).\nAnswer: 51*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 - 6*i - 7. Let n be h(5). Suppose -11 - 10 = -a. Let x = a + -32. Is n >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5148.3 minus -0.00331042?\nAnswer: -5148.29668958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 507 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 0.3 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813232 (base 9) in base 12?\nAnswer: 40a118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 2. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17127001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 259.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = y + 3*r, 2*y = -2*r - 10 + 6. Solve y + 8 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1791461148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 13198\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 + 10*q + 15. Let v be p(11). Suppose -3 = -7*b + v*b. Let k be (-6)\/2 - (-4 - b)*1. Solve -k = 4*y - 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45864 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-50)\/(-180) - 0. What is the second smallest value in 1\/4, 0.8, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 - 22*y**3 + 4*y**2 + 15*y**3 - 4*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -5 + -94 + 16 + (-11 - (-12 - -17))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36570\/1590 + 172\/(-6)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -58*b**2 + 8*b - 5. Let j(y) = -37*y**2 + 7*y - 4. Determine 4*j(u) - 3*z(u).\nAnswer: 26*u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20347567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 6\/(-4))*(-23 + 15). Is m at most as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 4 - -7 - 0) + 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*s = 62*s + 1784499. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, k: 2, n: 2}. What is prob of picking 1 n and 2 x?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-36) - ((-16)\/12 + 0)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -34685244?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2 - 2)*(21*s + 10*s - 13*s)*(2*s**2 - 3*s**2 + 2*s**2).\nAnswer: 36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 100 = 53*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 7 + 7)*(-5 + 0 + 4) + (11 + 3*o - 11)*(1 - 3 + 0) - o + 2*o + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 + 1. Let h = 2 + l. Let f = h - -1.8. Which is the second smallest value? (a) f (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-30)\/(-8). Suppose -c*o = -o. Let h(z) = z**2 + z. Let u be h(o). Solve u = 3*j + j - 5*s + 5, -2*j + 2*s - 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 160, 161, 162?\n\"Answer: r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001100111000010 + 1111001000?\nAnswer: -1110001010111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 3*m**2 + 6*m + 232. Let i(s) = -9*s**3 - 13*s**2 - 26*s - 930. Calculate 6*i(n) + 26*o(n).\nAnswer: -2*n**3 + 452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 1295800.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1023, 10, 102 in descending order.\nAnswer: 1023, 102, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.4 (b) 15\/7 (c) -10 (d) 2\/121 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641.7887g to tonnes.\nAnswer: 0.0006417887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlxn when four letters picked without replacement from {n: 3, x: 5, l: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60*(1\/(-28) - 148\/(-518)). Let a(o) = -3*o - 3. Let d be a(-2). Let u be ((-39)\/v)\/(d\/(-15)). Solve -u - 2 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 16 = 6*i - 3*o, -4*o - 18 = -5*i. Let y(p) = 0*p**2 + 3*p**i - 2*p**2. Let z(j) = 2*j + 0*j + 2*j - 2*j. Calculate y(z(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f - f + 2*f. Suppose 0*h + h = -u + 9, -5*u - 3*h = -37. Let o(c) = u*c**2 + c**2 - 5*c**2 + 3*c**2. Give o(p(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/37))**(2\/57) assuming j is positive.\nAnswer: j**(4\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(-16)*w**(-9\/4)\/w**(-10) assuming w is positive.\nAnswer: w**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-45) - (-1144)\/1584.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*o - 2*o, 0 = -l + 4*o. Suppose p + u + l + 2 = 0, 0 = -4*p + 4*u + 16. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317824747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30\/792)\/(33*(-140)\/(-3696))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4087 + 275*j + 4087)*(2 - 2 - 2) to r*j + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 16\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/3 + (11 - (-385856)\/24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2192320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**2. Let l(a) = a. Let c(z) = 12*z. Let u(d) = -c(d) + 6*l(d). Give x(u(o)).\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -49*d + 919. Let l(h) = -13*h. Give q(l(c)).\nAnswer: 637*c + 919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*h - 17. Let v(a) = -a**2 + 8*a + 10. Let b be v(9). Suppose -15 = -5*y + p, 3*y = -0*y + 2*p + 16. Solve h = y*o - b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77585, 77584, 77583, 77582, 77581?\n\"Answer: -p + 77586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + ada?\nAnswer: ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/18)\/((-153)\/68)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -0.06, 236\/297?\nAnswer: 236\/297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133982\/14 + -1 + 153\/(-1071)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 5*o**3 + 21 - 2*o - 20. Let l be 2\/5 + 26\/10. Let m(j) = 3*j**3 + 4*j - 2. Give l*m(s) + 5*p(s).\nAnswer: -s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -0.1516?\nAnswer: -7.8484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 15*h**2 - 27*h - 19. Calculate y(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8700 is divided by 1530?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138.847 + 139. Let u = h + 27.147. What is u rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 14 = 2*t, 5*y + 19 = 3*t - t. Let s be (4\/(-8))\/(t\/30). Suppose j + s = 2*j. Solve -2*v = -j*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/33 and 11\/18246?\nAnswer: 200706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 944*r - 136*r + 1685*r + 107199 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/480 + 849*b**5\/80 + 720801*b**4\/32 + 203986683*b**3\/8 + 16*b**2 + 2. Factor w(i).\nAnswer: (i + 849)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m - 44. Let k be s(-12). Let t(a) = 3*a - 2. Let z(q) = -13*q + 8. Let h(p) = -9*t(p) - 2*z(p). Determine h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r**2. Let a(g) = 8*g. Determine o(a(s)).\nAnswer: 1216*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 53101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**2\/3 + 25619*t - 76856\/3 = 0.\nAnswer: 1, 76856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 91 - -12 - -48?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*(f\/f**(-3\/7)*f)\/f)\/f)\/f*f*f\/f**(-2\/21)*f*f*f**1\/((f*f**(1\/2)*f)\/f))**(-4\/7) assuming f is positive.\nAnswer: f**(-422\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3 - 7. Suppose 2*k = -3*l + 241, 3*l - 599 = -z*k - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -933586*z + 1867226*z - 933643*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-104)*120\/(-135)*3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q - 15. Suppose -3*p - q*g = -0*p + 18, 4*p + 26 = -3*g. Let v be (p\/(-3))\/(4\/(-876)). Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (2*sqrt(117) + sqrt(117))*-4) + sqrt(117) - -4*sqrt(117)*-3)\/(3*1*sqrt(900) + sqrt(900) + -1*sqrt(900)*2).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 2522.\nAnswer: 305162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-6)*p\/(p**(-1\/2)\/p))\/(p**(3\/5)\/p**6))**(1\/14))**(-1\/16) assuming p is positive.\nAnswer: p**(-19\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -12 - 23 - (-6 + 7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11131130 (base 4) in base 11?\nAnswer: 15891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -1) - (-475 + 476)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*p - 19298, -2*n - 2*p = -4776 - 8068. Suppose 24*i = 15*i + n. Round i to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/(-6) + (335 - 5).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20552417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6246 is divided by 391.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 6:53 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 60316*g + 965066. Calculate v(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 51 - 61 = 0. Suppose -i*r - 9 = -41. Solve -3*g + r = -5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 611204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59764*l**2 + 59764*l**2 - 381*l**3 + 541 wrt l.\nAnswer: -1143*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:55 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {o: 5, b: 5, i: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493636000 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 18. Which is the third biggest value? (a) d (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.7 - 7.1. Let m = 18.5 - 17.5. What is the nearest to 0 in n, 1\/10, m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.4 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 555 and 555?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47118918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 22 + 71 + 10*v - 30.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128, 2254, 3382, 4512, 5644, 6778, 7914?\nAnswer: 9052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2529, 2, -8, -1 in descending order.\nAnswer: 2, 2\/2529, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.87594 to 2 dps.\nAnswer: -35.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245520*j**4 + 73620*j**2.\nAnswer: -5892480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 100, 1, -2, -8 in increasing order.\nAnswer: -8, -3, -2, 1, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = s - 216, 8*f + 819 = 4*s + 5*f. Let h = s + -203. Put -6, 1, h in descending order.\nAnswer: h, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 141?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose -2*m + y - 19 = -u*m, -4*m = 2*y - 26. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(4900\/(-8)))\/(2\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47615 (base 10) to base 3\nAnswer: -2102022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 6 = 14*q. What is the second derivative of -16*n**3 + 19*n**3 + 2*n**4 - 45*n - 3*n**3 - 11*n**q wrt n?\nAnswer: 24*n**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u**2 - 2*u - 10. Let t(i) = -i**3 + 10*i**2 - i + 13. Let s be t(10). Let h be 8 + -3*(4 - s). What are the prime factors of b(h)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/8, 0.11, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let i be (-272)\/(-24) - 2\/m. Suppose 0 = 15*s - 19*s + 48. What is the highest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4806 - 24021\/5. What is t in -9\/5*t - 3\/5*t**3 + 3\/5 + p*t**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1515)\/28280)\/((-7)\/(98\/60))*-2?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1104936564, -1104936563, -1104936562, -1104936561, -1104936560?\n\"Answer: y - 1104936565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/1006?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q - 371 + 576 + 609 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*q**5 + 2*q**4 - 35*q**5 - 1 + 2*q**4 + 3*q**5 - 2*q**5 - 3*q**5 + (-q**3 - 3*q**3 + 3*q**3)*(-2*q**2 + 2*q**2 + 2*q**2) - 78*q**5 + 5*q**5 + q**5.\nAnswer: -75*q**5 + 4*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1036 + 1060. Which is the closest to u? (a) -1\/3 (b) 8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -110, -4, 3 in increasing order.\nAnswer: -110, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5338\/92 + 4317\/(-198582)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + j**3 + j**2 - 16*j**2 - 58 + 32. Let r be u(15). Find the third derivative of -6*p**5 + 832*p**4 + 22*p**2 - 832*p**r wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184333 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 - 2*c**2)*(c - c**2 - c) + c**4 + c**2 - c**2 + 1491*c**4 - 1328*c**4 - 4502*c**4 - 4657*c**4.\nAnswer: -8994*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/43 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15677336 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2724670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032382093 rounded to 5 dps?\nAnswer: -0.03238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15 - 2\/5. Let l = 261 - 208. Let c = 799\/15 - l. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484219436?\nAnswer: 2, 121054859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300321 (base 5) to base 13.\nAnswer: 43ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892334713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/21)\/10*27\/(-6).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5026*a*o**2 + a*q**3 + 144*a - o**2*q - o**2 + 972*o*q**3 + 101*o*q + 11*q wrt a.\nAnswer: 5026*o**2 + q**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/30*(-5)\/(-4)*1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -73664\/123 smaller than -598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11*(12 - (2 + 5)). Is -45 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*h*j + 641*h + 4791*j - 1 wrt h.\nAnswer: 27*j + 641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682\/(-116) + (-78)\/12 + 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 955*u + 9074 + 3722 + 14899 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10715 - 10715 + 5194*y**2 + 1 + y**2 - 1 + (4 - 1 + 0)*(-3*y**2 - 2 + 2).\nAnswer: 5186*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*u - 120, -5*u + 5*b = -278 - 22. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 431.03 + -436. Let z = -24.03 + 24. Let a = g + z. What is the second biggest value in -1, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zidz when four letters picked without replacement from dzzdddidizddddddd.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 117*p**3 - 3*p**2 - 43*p + 86. Does 7 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0 + a + 0 - 5. Let u be d(8). Solve 0 = -5*j + 4*c - 31, 4*c = j + u*c + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 1733\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -5*q**4\/12 + 5*q**3\/2 + 10*q**2 - 15*q. Factor p(d).\nAnswer: -5*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-32))\/(w**(-22)\/w)*(w*w**(-2\/37)\/w*w)\/(w*w\/(w*w**26\/w)))**(-22) assuming w is positive.\nAnswer: w**(-66704\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a**4\/2 - 71839*a**3\/2 + 351407*a**2\/2 - 167817*a\/2 - 359415 = 0. Calculate a.\nAnswer: -7987, -10\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)*y**4)**(15\/2)*(y**(1\/4)*y**(-3\/4))\/(y**5*y\/(y*y**(1\/4))) assuming y is positive.\nAnswer: y**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -23, -1, -4 in descending order.\nAnswer: 3, 0, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -25103305 in increasing order.\nAnswer: -25103305, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 264 + 396. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16*q**2 - q - 7. Let r(x) = -4*x - 19 + 10*x**2 - 1 + 37*x**2. Let a(m) = 3*r(m) - 8*w(m). Is a(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/15 - a**4\/12 - a**3 - 19*a**2. Let l = -3 + 1. What is the tens digit of k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2 - (-13 - -24)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 - -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**3 - 2*c - 7. Let z(l) = -441*l**3 + 99*l + 342. Let s(f) = -99*t(f) - 2*z(f). Differentiate s(w) with respect to w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16379150+32\nAnswer: -16379118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50 + -89c277?\nAnswer: -89c2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**2 + 15*w**2 + 7*w**4)*(5*w + 0*w - 6*w)*(-3 - 1 + 3).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -45, 3, 1, -2.\nAnswer: -45, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(324\/44)*(-99)\/(-12) and -7\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29009 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 6*j**2 + 16*j. Let m be z(-7). What is the units digit of m\/(-3 + (-94)\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206564068 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: Suppose 33*y + 17*y - 15461 - 589 = 0. What is the remainder when y is divided by 167?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740066 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p**2 - 82*p**4 + 235291*p**3 + 41*p**4 + 3*p - 235292*p**3 + 44*p**4 - 4 to l*p**4 + z + q*p**2 + h*p**3 + o*p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 6. Let g be q(-6). Suppose 4*p + p = g. Suppose p = 3*z - 237 - 96. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9*g - 207 = 0, 2*o + 99*g - 52*g - 112 = 57*g for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*o + 3*n, -o - 5*n - 20 = 2*o. Let d be -3*(3 + -2) - o. Factor -d*t**3 - 4\/5*t**2 + 0*t + 0.\nAnswer: -2*t**2*(5*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 4*u**3 - u**3 + (-u - u + 0*u)*(-11*u**2 + 2*u**2 - 22*u**2) to p*u**3 + g + m*u**2 + t*u and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/420 + i**5\/60 + i**4\/42 + i**3\/3 + 5*i**2. Let w(d) be the first derivative of n(d). Suppose w(t) = 0. What is t?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23666 = -290*g - 24246 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1453, 15, -4.4 in descending order.\nAnswer: 1453, 15, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 12:52 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/5 and 0 - ((-338)\/80 + 5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*k**4 - 5*k - 5 wrt k.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*n - 21 = 0, -5*r - 11 = 15*n - 13*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10592700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78009521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/116376 and -47\/640068.\nAnswer: 1280136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109939259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25394242.\nAnswer: 2, 12697121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806896 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 4*c + 3*z, -5*c + 408 = 4*z - 0*z. What is the greatest common divisor of c and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*u, -5*u - 2 = 3*d + 9. Let m be 1 + (d - 8\/(-2)). Suppose -2*k = -3*k + m. What is the lowest common multiple of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -27 + 21 - 74. Let n(o) = -13*o - 130. Give n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2695 = -3*n + 2*z - 2674, 4*z = n - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - 13 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10 = 3*f + 3, -5*f + 5 = -5*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1137 - 475. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 1. Suppose -60 = -4*g - o, -30 = -2*g - o + 4*o. What is the remainder when w(20) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1240 and 7\/100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2607 - 1599. Is 35 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.99 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o**(-3\/5)\/o))\/o)*o**1*o)\/(o**(2\/17)\/o*o\/(o*o*(o\/o**(2\/5))\/o)))\/(((o**2*o)\/o*o)**20\/((o**(2\/11)\/o*o)\/o**(-9))) assuming o is positive.\nAnswer: o**(-8964\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 2*j - 3*j)*(-61 - 16*j + 61 + (74 + 26*j - 74)*(0 + 2 + 1)) to m*j**2 + z*j + k and give m.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(2100) + sqrt(42)\/sqrt(2)*6))\/(sqrt(343)*1*1 - (sqrt(343)*1*-6 + sqrt(343) + sqrt(343))).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*a = -393*a - 1666 - 752 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 2*x**2 + 10*x - 4. Let k = 120 + -120. Suppose 11*d - 13 - 31 = k. Let o be a(d). Solve 0 = -3*b - 2*w + 4*w + 25, 0 = o*b + 3*w - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 0.0803?\nAnswer: 1.9197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:48 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 14 = -t. Let n be t\/4 - 4\/8. Sort n, 3, 1.\nAnswer: n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74024\/83 or 14\/11?\nAnswer: -74024\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/312 and -85\/143182.\nAnswer: 1718184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164265, 328523, 492781?\n\"Answer: 164258*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2626, 2028, 1430, 832, 234?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*y - j, 1375*y - 22 = 1376*y - 4*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*3\/(-3)*(-4287)\/(-7145)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + o)*(4 - 2 + 0)*(-3 + 1 + 5).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18688 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (10 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -409?\nAnswer: -89.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/(i\/i**(3\/4)))\/(i\/i**(-16)*i\/i**2))**(1\/29) assuming i is positive.\nAnswer: i**(-67\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 344, 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let c(w) be the first derivative of -5*w**3\/3 + 4. Give y(c(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -42*x**2. Let b(m) = 5*m + 6. Let t be b(10). Let p(c) = t*c - 28*c - 29*c. Determine p(o(l)).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -1*sqrt(17) + sqrt(17) + (sqrt(17) - (sqrt(153) + (sqrt(153) - (sqrt(153) - sqrt(153)*-2)))\/sqrt(9)) + sqrt(17))**2.\nAnswer: 30*sqrt(17) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/33)\/(b*b*b**29)*b**(-8)\/b**9 assuming b is positive.\nAnswer: b**(-1586\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (1 - (1 + -5)) - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -226, -741, -1596, -2791?\n\"Answer: -170*r**2 - 5*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 4275551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 8*t + 3 + 3*t + 2*t. Let d(x) = -x**3 - 6*x**2 + 8*x + 2. Let n be d(-7). Give k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159.4 - 158.4. Which is the nearest to 3\/5? (a) p (b) 0.4 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 2363 = -66*s - 45*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 6464630 - 6464630.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11834*r. Let h(g) = -17*g + 65. Calculate h(p(m)).\nAnswer: -201178*m + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 0.40924, -5, -1\/24, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5190.058 millennia to months.\nAnswer: 62280696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:25 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1750 or 22174?\nAnswer: 22174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -64*y - 196. Let d(g) = -65*g - 192. Let i = -541 - -544. Let n(p) = i*h(p) - 4*d(p). Differentiate n(a) with respect to a.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(5 - 205\/40). Let b be 1\/3 + 4\/(-3). Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, -11901 in decreasing order.\nAnswer: 1\/5, -5, -11901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/407 + 15080\/2849. Let o = -12 + 8. Calculate the common denominator of (-2)\/o - 23\/22 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 587, 15, 0.1, 2, 9 in decreasing order.\nAnswer: 587, 15, 9, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 195, 188, 183, 180, 179, 180, 183?\n\"Answer: m**2 - 10*m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:22 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 20*p + 15*p**2 + 20\/3 = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32336 = -3*g + 4*d + 3893, g = -d + 12088. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.578989 rounded to two decimal places?\nAnswer: 3.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3709933 + -106.045?\nAnswer: -106.4159933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9234 divided by -3.\nAnswer: -3078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 + 5512*d**2. Let h(p) = 4*p + 3*p**2 - 10*p**2 - 6*p**2. Calculate t(h(y)).\nAnswer: -169*y**4 + 104*y**3 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659*x = -1638*x - 273. Let r(y) = 7*y - 9. Calculate the remainder when r(6) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - k**3 + 110555 - 2*k - 547*k**2 - 110555.\nAnswer: 2*k**3 - 547*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 179*q - 12. Let w(i) = 123*i - 8. What is -5*f(z) + 8*w(z)?\nAnswer: 89*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-10) - (-2)\/(-5). Let y = 102 + -99. Sort -4, z, y in descending order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*h**3 + 134*h**3 + 96*h**3 - 66*h**3.\nAnswer: 222*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/12 + 2*i. Let c(f) = -2*f - 3. Suppose 0 = w - 5. Let r(q) = -3*q - 5. Let y(b) = w*c(b) - 3*r(b). Calculate y(o(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1312)\/(-128) + -1 + -10)\/((-7)\/(-8)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017064972 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 892488.062074?\nAnswer: 892500.062074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.07 to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 6*x**2 - 4*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 173, 174, 173, 170, 165, 158?\n\"Answer: -f**2 + 6*f + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80961047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f + 47. Let d be j(3). What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -7*u + 9*u - 126 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -7. Let q be w\/(-9)*1 - 2\/(-3). Solve q = 2*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565673447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -132*t**2 - 110. Let f(o) = o**2 + 1. Suppose -3*k = 240 + 90. Let r(p) = k*f(p) - z(p). Let j(d) = d. Give r(j(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 303*q**2 + 129*q + 67. Give m(-61).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 28 - 457*g**4 + 2*g**2 + 26*g - 25 + 2*g**3 - 28*g to the form m*g**4 + r + d*g**2 + i*g + y*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -19, -5, -2, -98, -4, 2.\nAnswer: -98, -19, -8, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 434\/3 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {b: 2, t: 1, v: 3, u: 1, a: 9, j: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8632 (base 9) in base 4?\nAnswer: 1203023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n - 67. Let z be y(5). Calculate the greatest common factor of 108 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -357 + 357.4. What is the nearest to 40 in -0.5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddmddldudlddmduum. What is prob of sequence udd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -389, -1531, -3457, -6185, -9733?\n\"Answer: -3*l**3 - 374*l**2 + l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 a factor of 1353879920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 30 = 2*r + u, -3*u - 2 = r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1161439 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 257077291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*s**3 + 80 - 8*s**2 - 18*s**6 + 56*s**3 + 4*s**2 + 131*s**6 wrt s?\nAnswer: 13560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353386959 rounded to the nearest one hundred thousand?\nAnswer: 353400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(-2\/17)*k**(-7)*k**(-11)*k assuming k is positive.\nAnswer: k**(-2597\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 3\/5, 8, -2\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/4244475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -10. Let s be (-1 + 6\/7)*1. What is the third smallest value in s, -4\/3, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 625944 + 9.211231\nAnswer: 625953.211231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Solve -k - y + 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = 5*g. Find the third derivative of g*b**2 + 2*b**2 + 2*b**4 - 7*b**2 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43589209\/186 - 234350. Calculate the common denominator of 41\/3 and v.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -2\/11, 263, 3\/4?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.96 - -36.06. Let m = 31.9 - y. Sort 0.5, 27, m in increasing order.\nAnswer: m, 0.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8785156066 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*q - 13810 = -2231*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96409 - 57076. List the prime factors of n.\nAnswer: 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3772484.\nAnswer: 1\/943121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 32, 22, 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - -9) + -81 - -143?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:52 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b - 3 = -3*l, -4*b = -4*l - 4. Let g be (21 - 20)*3\/((-492)\/8). Put l, g, -0.2 in descending order.\nAnswer: l, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -111, -245, -421, -633, -875?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1761 + -1834 + (-2 - -4 - (-1 - 1)) - 5.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5785268ug?\nAnswer: 0.0000005785268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 3*t - 8. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*d**3*w - d**3 - 39*d**2*j*m - 3*d**2*j - 2*d*m**3 + 8*j*m*w + 38*m**3*w wrt w.\nAnswer: -15*d**3 + 8*j*m + 38*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 68746*t + 8815880. Give j(-128).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 35 - 131 = -c - 3*c, -3*c - 38*s = -947 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -2*p, -3*p - l + 18 = 2*l. Let n be ((-1504)\/(-1780))\/(-2) - p\/(-25). What is the third biggest value in -2, 3, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l - 30. Let c be k(7). Suppose -c*q + 2257 + 243 = 5*z, z - 2480 = -5*q. What is the greatest common divisor of 45 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.1 (c) -449 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.01.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -130998703, -523994809, -1178988319, -2095979233, -3274967551, -4715953273, -6418936399?\n\"Answer: -130998702*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -163.021. Let u = d - -0.421. Which is the nearest to -2\/7? (a) u (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9796 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 9 + (-7 + -4 - (20 - 30))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3397877834 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 3370.\nAnswer: -51\/3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173303.\nAnswer: 13, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -120. Suppose m - 218 = -8*h. Suppose -h = -3*b - 17. Solve -2 - b = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 51 + 62 = 6*t, -3*t + 8 = -a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 18894044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379292 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(1 + 1)\/2. Let p = t - -6. Suppose 6*a - 42 = p*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3, z: 4, y: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 39*z + 21*z + 45 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.5 - 1.5. Let v = -9.1 - d. Let o = -0.1 + -4.9. What is the third smallest value in -2\/5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000442524 rounded to six dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 51*d + 2. Let h(n) = -17*n + 35*n - 16*n. Calculate h(l(z)).\nAnswer: 102*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 30*p - 12 = 29*p, 2*k + p = 6. Let u = 4 + -2. Suppose u*z + 11 = 6*n - 3*n, -5*z = -10. Solve -4 = a - 2*m + n*m, 2*a = k*m - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 223235572744900*a**3 - 223235453216340*a**2 - 119528544*a - 16 = 0.\nAnswer: -2\/7470535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuzzupuupucpz. Give prob of sequence nz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 37*a = -1632. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = 1, -3*n + 15 = z. Let j = 37 - z. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 - 273*m**4 + 2706*m**3 - 5100*m**2 - 14616*m + 17280 = 0?\nAnswer: -2, 1, 6, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -13*b**4\/24 - b**2 - 3. Let o(g) = -g - g + 3*g. Determine w(o(h)).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 24729756.\nAnswer: 24729756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16004179339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/n)\/n**(1\/21))**2\/((n*n**(-2))**42)**43 assuming n is positive.\nAnswer: n**(37894\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17929? (a) 19 (b) 0 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -65. Let n = -13 - l. Let u(c) = -c**3 - c**2 - c + 1. Let i be u(-2). Solve i*f = 2*f + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211505961.\nAnswer: 3, 29, 953, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 23 = -2*d + 21, 0 = -n - 4*d - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2830822*p**3*q**2 + 25*p**2*q + 595974*p*q**2 wrt p.\nAnswer: 16984932*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26840832 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 + 4. Let n(f) = -2*f. Calculate n(j(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3\/7 (c) 112 (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101f - 42?\nAnswer: fdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4453 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/4346 and 39\/287.\nAnswer: 30422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.048 - 0.048. Let y = -33 + j. Let c be (-1)\/5*(1 - 4). What is the closest to -1\/5 in c, y, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 5*r**4\/8 - 9*r**3\/2 - 5*r**2. Let d(y) = 2*y - 4. Let p(v) = 27*d(v) - 4*u(v). Let q(w) = -w**2. Give p(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -5. Calculate the smallest common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11550508 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97687, 97668, 97649, 97630?\n\"Answer: -19*v + 97706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 5, c: 4, x: 5, k: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 35176099?\nAnswer: 35176096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26\/78179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:56 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -19*h + 2. Let p be (h - (-21)\/(-9))*(-9)\/(-7). Sort p, -5, -1, -3 in decreasing order.\nAnswer: p, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 + 3. Suppose -15 = -5*q + 5*n, -4*q + 6*q + 12 = -4*n. Let f be i(q). Solve 0 = -f*k + 2*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2 + 2 + (p - 2*p + 0*p)*(-1 + 1 - 1))*(-2 - 1 + 0)*(-3 + 5 + 2)*(-10*p**3 + 5*p**3 + 6*p**3).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -7904590528?\nAnswer: 7904590533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-153))\/(8\/13836). Let s = 110\/17 - t. Let z = -13\/3 - s. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-1\/14))\/u)\/u*u*u*u**(2\/3)*(u**(-3\/4)*u)\/u*u**(2\/7))**(50\/9) assuming u is positive.\nAnswer: u**(4475\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s**2 - 5*s + 9. Suppose -3*x - 1 = -13. Let n(j) = 9*j**2 + 3*j - 4. Let l(u) = x*p(u) + 9*n(u). What is the second derivative of l(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 11. Let k = -12 + h. Let r = -17\/2 + 10. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364 + 78. Let a = z + -440. Factor 20\/3 + 20\/3*r - 5*r**a.\nAnswer: -5*(r - 2)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-q + q + 3*q) + 2*q - 3 + 3 + (0 + 1 - 3)*(0*q - q - q) + 0 + 2*q + 0.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b - 32. Let h(m) = -19*m + 32. Let t(p) = 2*h(p) + 3*j(p). Is t(4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124135398 is divided by 41378466.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425 (base 7) in base 2?\nAnswer: -1000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 3*q**4)*(-3 + 3 + 2) + 355*q + 2 + 0*q**4 - 346*q + q**4.\nAnswer: -5*q**4 + 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27 = -7. Let b be (-2)\/(-4)*4\/o + 1. Factor 8\/5*l**2 + 2\/5*l**3 + b + 2*l.\nAnswer: 2*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + 2 - q**2 - 10*q**4 - 2*q**4 + 2*q + 5*q**4 to s*q**3 + z*q + w + f*q**2 + h*q**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 385 = -5*l, t - 67 = l - 0*t. Let o be (3\/9)\/(12\/l). Let n(f) = -2*f + 2. Calculate n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 476 + 132 = 0. Solve 0 = -g*u + 24*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)*10\/(-4). Let z(b) = -b + 8. Let p be z(c). Let h = 839 - 821. Solve p = 5*k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.61 - -4.61113. Round h to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508858*p**2 + 0 - 508572*p**2 + 0 - 508663*p**2 + 1525765*p**2.\nAnswer: -328*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4 + 4*j - 2*j + 4*j**2 + 0*j**2 + 4*j - j**3. Let x be p(-6). Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907 is divided by 304?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3964 is divided by 1320.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1*sqrt(175))\/sqrt(5) - (sqrt(875) - sqrt(875)*1)))\/(sqrt(45)\/(sqrt(9)*-5) - (sqrt(5) + sqrt(30)\/(sqrt(12)\/sqrt(2)))).\nAnswer: -10*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -1\/70*a**7 - 1\/168*a**8 - 2*a**2 + 0*a + 1\/24*a**4 + 0 + 1\/20*a**5 + 1\/120*a**6 + 0*a**3. Suppose y(w) = 0. What is w?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3169, -5, 5 in decreasing order.\nAnswer: 3169, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 - 3*p - 1. Let z(s) = 3*s + 12. Let a(x) = -x + 1. Let i(m) = 4*a(m) + z(m). Let d = -11 + 22. Let r be i(d). Give b(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900644 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1115247459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -332*b**2. Let g(p) = 4*p**2. Determine i(g(r)).\nAnswer: -5312*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2112 + 2981. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 9. Let b be v(-2). Let f be (-148)\/(-14) + (2 - b). Is f >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792367265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*p = -74*p. Let y(t) = 13*t + 116. Let z be y(-8). Solve -z = 2*d - p*d + g, -25 = 3*d + 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -110, -133, -158, -185, -214, -245?\n\"Answer: -s**2 - 20*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 83*d**2 - 10*d + 18. Let i(x) = x**3 + 83*x**2 - 8*x + 17. Determine -4*i(t) + 3*s(t).\nAnswer: 2*t**3 - 83*t**2 + 2*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.58 - 2.58. Which is the third smallest value? (a) 3 (b) o (c) 15 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 2*p + 9 - 1. Let v be w(8). Find the third derivative of v*f**2 + f**3 + 5*f**5 - 5*f**2 - f**3 wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 38*r - 42*r + 8 = 0, -3*z + 2*r = 8. What is the closest to -1\/5 in -1, z, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)**2*5*-2*-6.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 29. What is m(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20551349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 883, -29.2, 281 in ascending order.\nAnswer: -29.2, 281, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227 (base 11) in base 12?\nAnswer: b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -11?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120210222 - 1122101?\nAnswer: 112011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.43 - 0.57. Sort 6, 0.4, q in ascending order.\nAnswer: q, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 758 - 535. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:07 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -240*s - 10. Let p(i) be the third derivative of 4*i**4 + 2*i**3\/3 - 7*i**2. Let d(r) = 5*k(r) + 12*p(r). Let q be d(3). Round q to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:49 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7830023 is divided by 707?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - 4*c + 8. Let z = -10 - -12. Suppose -2*u + z*n - 12 = 0, u + 4*n = -2*u - 18. What is the units digit of a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 7*g - 13743. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163914.8ml to litres.\nAnswer: 163.9148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*f + 12, 2*b = -b - f - 5. What is the nearest to b in -3, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.15, 3, 0 in descending order.\nAnswer: 3, 0.15, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123110.\nAnswer: 2, 5, 13, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 363771 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 6 = -4*f - 4*k, -5*f - 3*k + 10 = 0. Factor 4\/3 + 2\/3*v**f - 2*v.\nAnswer: 2*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 8756456*w\/3 - 38337760839968\/3.\nAnswer: -(w - 8756456)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14176, 28321, 42472, 56629, 70792, 84961?\nAnswer: 99136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*w - 1. Let m be 1\/w - (-3)\/2. Sort 5, m, -1 in decreasing order.\nAnswer: 5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*w - 64*w + 301*w.\nAnswer: 380*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748179847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 168422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*x = -16, 0*z - 4*z - 3*x = 23. Sort -4, z, -17, -1, 0 in decreasing order.\nAnswer: 0, -1, z, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 201*r + 7990 = 0.\nAnswer: -235, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/247 and -113\/10296?\nAnswer: 195624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 18*s + 22. Let d be p(-6). Suppose -4*b = -2*b + 5*y + 161, 4*b + 3*y + 357 = 0. Let g = d + b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v + 3. Let c be r(-2). Suppose -c*w + 9 = 0, -96 = -4*g + 2*g - 2*w. What is the units digit of 428\/18 + 10\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 + 417 = 4*k + 3*s, 412 = 2*k - 3*s. Calculate the remainder when k is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 901 = 3*j + 856, -3*w - 30 = -2*j. Solve -5*c + 2*q + 26 = q, -2*c = -5*q - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b + p, -3*p = 4 + 2. Let d be 48\/(-36)*15 + -8 + 30. Suppose 9*j - 20 = 4*j. Solve 0 = y - d*q - j, b = -q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -356*h + 639. List the prime factors of b(-120).\nAnswer: 3, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let g be a(-1). Let o(d) = -d + 4. Calculate the remainder when o(g) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -605, -644, -707, -794, -905, -1040?\n\"Answer: -12*x**2 - 3*x - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23915470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {w: 2, v: 1, f: 1, z: 1, m: 2, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -28, 1\/4, -1\/3, 0.3 in ascending order.\nAnswer: -28, -1\/3, 1\/8, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -385.91 - -386. Put 2, 4\/7, q, -2 in decreasing order.\nAnswer: 2, 4\/7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*3\/((-6)\/(-94))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 39*v**4 + 20*v**4 + 28*v**4 wrt v.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -337, -512, -689, -868, -1049, -1232?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187111218 to the power of 1\/2, to the nearest integer?\nAnswer: 13679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5397\/733992)\/((-1)\/(-16))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a factor of 723595509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2777073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -6. Let d(k) be the third derivative of -731*k**5\/20 + k**4\/3 - 2*k**3\/3 + k**2. Let y be d(p). Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {m: 11, w: 4, j: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, v: 1, f: 2, e: 2, k: 1}. Give prob of picking 1 v, 2 f, and 1 e.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 4 (b) 17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3231 - 0?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - ((-32 - -28) + -111).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5766840 or -1\/4?\nAnswer: -5766840","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 10*g**2 + 6*g + 1. Let r be w(-4). Let k(h) = -r - h**2 + 20*h + h**2 + h**2 - 2*h**3 - 13*h. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**2 - 276*o - 1. Let u be m(23). Which is the nearest to -1? (a) u (b) -3\/7 (c) -1\/577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 2)*(2*m**2 - 6*m**2 + 3*m**2) - 22*m**2 + 20*m**2 - 12*m**2 + (-1 - 2 + 4)*(m**2 - m**2 + 2*m**2).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = -3*o, -b = 3*b - 16. Let v = 5 - o. Calculate the highest common divisor of 40 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5416611000 rounded to the nearest one million?\nAnswer: -5417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 5. Let x(d) = 7*d + 22. Let c(v) = -4*p(v) + x(v). Determine c(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*h + 2*h = 276, 4*l + 2*h = 232. Suppose -2*o + l + 120 = 3*m, -2*m + 2*o = -104. Calculate the remainder when m is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69757999\/363 + -192171. Find the common denominator of x and -163\/132.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/2 - 21. Suppose 4*n = -4*l - 12, -2*l + 5 = n - 3*l. Let d be (69\/(-24) - -2) + n. Which is the third smallest value? (a) d (b) 0.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4*l**3 + 191*g**3*l**3 + 183*l**3 wrt g.\nAnswer: 8*g**3*l**3 + 573*g**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*44.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -463 or 3318?\nAnswer: 3318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 30)*((55 - (-21868)\/(-396)) + (-16)\/9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961711?\nAnswer: 103, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-2)))**15 assuming d is positive.\nAnswer: d**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 3*f**2 + 5*f**2 - f**2. Give n(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*4\/(-36)*3. Let j be (d - 1)*5\/(-10). Let v(h) = h + 67. What are the prime factors of v(j)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 502 in decreasing order.\nAnswer: 502, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*i + 886*i - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42857*i - 42849*i - 42856*i + 128572*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65001?\nAnswer: 3, 47, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*m - 280*m - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -0.08038\nAnswer: -17.91962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + 29.83. Let l = -109651498 + 109651467.9999924. Let x = v + l. Round x to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 195*w**2 + 4080*w - 167620.\nAnswer: -5*(w - 34)**2*(w + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 4448*x**5\/5 - 564*x**4 - 1930*x**3\/3 - 132*x**2 + 2*x + 3401. Solve f(j) = 0.\nAnswer: -1\/4, 1\/139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-33 - 4\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 + 166. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiixixi. Give prob of picking 1 x and 1 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q. Let t be k(-6). Suppose -3*w - 3*d = 2*w - 54, 5*d - t = w. Suppose 0 = 3*h - 0 - w. What is the greatest common divisor of h and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(5\/3)\/b)\/b*b)**(-49)\/(b**(-6)*b*b*b**(1\/3)) assuming b is positive.\nAnswer: b**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 211*x - 28. Let z(t) = -140*t + 19. Give 5*i(v) + 7*z(v).\nAnswer: 75*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 48*s - 7. Let l be g(-18). Let c = l + -206. Solve 0*r + r = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 7. Let u be y(6). Let b = -70 + 100. Suppose 4*x - 30 = 5*n, -16 = -u*x + 2*n + b. What is the greatest common factor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 + 120*a - 640 = 0.\nAnswer: 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/63 and 89\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*x = 8*w, -5*x = w + 16. Suppose -4*a = w*i - 940, 0 = -3*a - 3*i + i + 709. List the prime factors of a.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - p**2)*(-5 - 3 + 0)*(-4*p + 5*p - 7*p).\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 j, and 1 t when four letters picked without replacement from {e: 2, t: 1, s: 1, n: 3, j: 13}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(112)*3)\/(-3*sqrt(324)).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7555721 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*f + 567*f + 581*f + 4206*f + 2004*f - 1204*f.\nAnswer: 6999*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 0, 4*b - 23 = 2*l - l. Let j = 9 + b. Let r(x) = -23*x + 3 + 40*x - j*x. Give r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/618 and -50\/3.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2265 and 265827648?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -3 (c) 2\/7 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose -2*w + x + 13 = 0, -3*w + 5*w - 3*x - 19 = h. Solve 2*g + 1 = -2*s + g, 3*s - w*g + 34 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 4*l + 2. Let t(f) = -f**2 - f. Calculate j(u) + 5*t(u).\nAnswer: -3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 292792*p**4 + 4978236*p**3 + 28113712*p**2 + 62085680*p + 46857600 = 0. What is p?\nAnswer: -8, -5, -2, 73215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10665 = -389*q + 404*q. Let h be -4*(11 - q\/(-63)). Solve 8\/7 - 2\/7*r**2 + h*r - 2\/7*r**3 = 0 for r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 12 = 0. Let r(h) = -2*h**3 + 6*h**2 - 4. Let b(y) = -y**3 + y**2 - y - 1. Let l(w) = k*b(w) + r(w). What is l(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -111331 and -111331 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4412709.\nAnswer: 3, 7, 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/32)\/((-5)\/(-20))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -23233?\nAnswer: -23238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2 - 62*l - 13. Let x be n(-6). Which is smaller: -10\/17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (53 - -2627) + (-14)\/(-2). Let r = t - 1576. Calculate the greatest common divisor of 101 and r.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 89. Let s be (-57)\/(-11) - (-1 + (-52)\/l). Sort -1, s, -36, 0.\nAnswer: -36, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10643, -85337, -288061, -682829, -1333655?\n\"Answer: -10669*r**3 - r**2 - 8*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11104*o + 5553*o + 5555*o. Let i(x) = 318*x**2 + 2*x. Determine v(i(m)).\nAnswer: 1272*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1472, -2916, -4368, -5834, -7320?\nAnswer: -8832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 65743 = 1009647. What is y rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/106 and 47\/634.\nAnswer: 33602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -3\/4*i**2 + 3\/40*i**5 - 10*i + 1\/8*i**4 + 0 - 1\/4*i**3. Let g(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12864004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -v, 5*i - 9 = 2*v + 8. Let c = 4204 + -67265\/16. What is the closest to -2\/11 in 0.2, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/12)\/((-2)\/6). Suppose 0*l + u*s = l - 4, 9 = l + 3*s. Find the common denominator of (-10)\/12 + -8 + l and -17\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/252 + -5591\/252. Calculate the common denominator of g and 18\/65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -93 + -c19c?\nAnswer: -c262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y + 10. Let a = -97 - -99. Let s be t(a). Let w(g) = g + 6. Let j(h) = -h - 9. Let o(l) = 5*j(l) + 8*w(l). Calculate o(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 544?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 45 - 19 = 0. Calculate the remainder when d*(3 - 6)\/(-3) is divided by 15 + (-2 + 0)\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1837*g + 22231. Determine y(12).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 2*a + 10. Let m = -114 - -119. What is the remainder when l(m) is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1247\/35 - 248\/7. Factor 4\/5*f**3 + 1\/5 - 4\/5*f - y*f**2.\nAnswer: (f - 1)*(f + 1)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63261 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**5\/20 + w**4\/2 + 3*w**2 + 5*w. Let c(h) = 12513 - 3*h**2 + 8*h**2 - 12512 - 4*h**2. What is -6*c(a) + x(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8629965 months in millennia?\nAnswer: 0.000071916375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*n - 106*n - 120*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -22. Suppose a = 4*o - 0*o - 12. What is the second derivative of 23*s**3 - 14*s**3 - 14*s**o - 13*s wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 1. Let x(g) = 16*g + 6. Let z(j) = -3*s(j) + x(j). Let o(q) be the third derivative of q**4\/24 - 2*q**2. Determine z(o(y)).\nAnswer: 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1441, -2632, -3523, -4072, -4237, -3976, -3247?\n\"Answer: 7*g**3 + 108*g**2 - 1564*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-18) - (-2)\/6. Let f = 596 - 596.1. What is the closest to 1\/2 in 1, d, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/(3*1\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 4*w - 3, -3*s + 123*w - 133*w = -s + 36 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -645*t**2\/2 + 244*t - 185. What is the first derivative of r(y) wrt y?\nAnswer: -645","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -57*h + 80. What are the prime factors of i(-15)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*t - 10 = 0, -2*a - 12 = 2*a - 5*t. Suppose r - a*h - 11 = -0*r, 0 = -r - 2*h - 9. Solve b + 0*b - r = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 1\/(-1) + 1*6. Sort -1, 5, r, 1 in descending order.\nAnswer: 5, 1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171)*3 + -5 - ((0 + (sqrt(1539) - sqrt(19)) + 3)*2)**2.\nAnswer: -4903 - 183*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3167 - 21328 = 675*d - 6312 + 6117 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {g: 11, k: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -170. Let g = -37 + o. Let c = 28 - g. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 1\/6, -1.1279, 2, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/6 - 2\/3. Let x = 0.3 + 3.7. Let c = -348\/5 + 69. What is the biggest value in f, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 52*c - 50*c - 10 = 0, -11 = r - 4*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-111 - -116) + (4 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188231926 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2493*w + 4 - 7 + 1 + 0 in the form m + d*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 20 + (15 + -36 + 19 - (-1 - -9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(1\/3)*g\/(g*g*g\/g**(2\/9)*g)*(g\/(g\/g**1))**(4\/27) assuming g is positive.\nAnswer: g**(-26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 5187*h + 8968323.\nAnswer: 3*(h + 3458)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 u when three letters picked without replacement from uskbogk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (24\/5)\/(-4)*-10 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 37491161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n*n*n**(2\/23)*n)\/(n**0)**(-1\/6))**5 assuming n is positive.\nAnswer: n**(815\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494760 - -792667. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4700)\/(-60))\/((-435)\/(-261))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823.346 rounded to the nearest ten?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -56960, 4, -7, 1, 3, 2 in descending order.\nAnswer: 4, 3, 2, 1, -4, -7, -56960","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.924 - -2.924. Let g = -6 + 3. Let o = -1 - g. What is the nearest to 0.2 in -0.3, o, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27021, -106915, -239919, -426039, -665281, -957651, -1303155, -1701799?\nAnswer: -2153589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2 - 19*v + 5*v + 2 + 4*v**2 - 6. Let z be y(4). Solve -3*u + z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3211.3 + -3211.2. Suppose -1 - 35 = 4*w. What is the nearest to 0 in q, 3, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7479895 to three decimal places.\nAnswer: 2.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 + -8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1147\/111 - (-4)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2*m + 85. Let j be g(8). Solve j*n + p - 25 = 0, -2*p + 5*p - 31 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934833, -1869654, -2804461, -3739248, -4674009, -5608738?\nAnswer: -6543429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -50. Let m(j) = -j**3 - 7*j**2 - j - 4. Let u be m(-7). What is the third smallest value in b, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3413 + 2?\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.78676 and 3?\nAnswer: 4.78676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310300221 (base 4) to base 3.\nAnswer: 101222102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - 2*sqrt(2736)*-1)**2 + (sqrt(2736) + sqrt(2736) + -1 + -5)**2.\nAnswer: -288*sqrt(19) + 35604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -152 - 1a9?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -5. Suppose 31 = -3*v + p, -2*p - 28 = 2*v + p. Let s = -7 - v. Solve s*b + q - 20 = 0, 27 = t*b + 5*q - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 + 208 + (-76 - 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 11. Is ((-30)\/h)\/((-3)\/(-20)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 690866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:00 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18669\/5 greater than or equal to -3734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from ijhgjjhiijigjkgkhkk?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*s**(-1)*s*s)\/s))\/s)**33\/((s**(-2\/17)\/s)\/(s\/(s\/(s\/(s*s\/((s\/(s*s**(-7)*s*s))\/s*s)))*s)*s)))**33 assuming s is positive.\nAnswer: s**(-15642\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and -40\/147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:05 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*u + 8, -3*u - 139 = -3*j - 151 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2202 and 7.\nAnswer: 15414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1226169*d**4*l - 9*d**3*l*x**3 + 15*d**2*l*x**3 - 3*d**2*l*x**2 + 14297*d*x**3 wrt d?\nAnswer: -29428056*d*l - 54*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4684 + -23417\/5. What is the smallest value in 52, b, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 1, -1, 662 in descending order.\nAnswer: 662, 1, 2\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 - m - 1. Calculate b(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38426000 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzzzzzyzzzzzyzzzy. Give prob of picking 1 y and 1 z.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/77*1*(-5)\/(20\/(-24)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 9252 + 5196. Does 43 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ododdod?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (146\/14)\/((792\/(-77))\/12*33\/198).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6309 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 3*q - 2. Let x(p) = 5*p**2 - 16*p + 11. Let b(d) = 33*j(d) + 6*x(d). Let r(i) = -5*i**2 + 5*i. What is -7*b(w) + 4*r(w)?\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(14\/168)\/(1\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/72923 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139287601 is divided by 1289700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) - (-22)\/18. Let f be 58\/(-10) - q\/5. Let l be (-7)\/(-2) - (-3)\/f. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)*8\/(-24). Sort d, -8, 2 in descending order.\nAnswer: 2, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*t**5 + 7*t**5 - 18*t**5 + (t - 2*t + 4*t)*(-t + t - 2*t**4).\nAnswer: 13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (808 - 806) + (-1 - 1 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.19 (b) 1\/6 (c) -1\/2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*n**2)*(0*n - n - n) + 0*n**3 - 3*n**3 + 2*n**3 - n**3 - 2*n**3 - 2*n**3 as i*n**2 + f*n**3 + j*n + g and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361, -663, -965, -1267?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 8*i - 8. Let k(x) = 3*x**2 - 26*x - 26. Let g(u) = 4*k(u) - 13*w(u). Let j(y) = -428*y. Give j(g(o)).\nAnswer: 428*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**3 + 3*i**3 - i**3 + 8*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.1 + 130.6. Put 3, -2, f in ascending order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185730 divided by 453?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 5*n**2 + 4*n**2. Let f(x) = 3*x. Calculate w(f(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 565867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/((-1512)\/(-80)))\/(8\/12))\/(-65).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4480*c - 3366*c = 17824 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -2*f + 3*f, 4 = -4*f. Let h = g + -2. Let z be -3 - (h + -5 + 1). Put z, 4, 1 in ascending order.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232118371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from {h: 2, x: 1, c: 1, d: 1, e: 3, t: 4}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 1. Let s(q) = 14*q - 12. What is -12*n(i) - s(i)?\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let p be (-6)\/4*-2*1. Let z = p + -2. What is the remainder when z is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose 2*m + m = 4*x + 106, -y*m = -3*x - 102. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/573 - -1845\/764. Find the common denominator of 19\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00365186 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26406 divided by 20636.\nAnswer: -13203\/10318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 26. Let x be q(-6). Let o = 2 + -1.8. Which is the closest to x? (a) 5 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 130 - 128 = 0. Suppose 5*i = h*k, -5*i = -8 - 2. Suppose -k*n + 2*m + 5135 = 0, -n + 4*m + 5135 = 4*n. Is n 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 rlrnzrl. Give prob of picking 1 n and 3 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-96))\/(78\/(-9))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 34*o - 49. Let h(i) = 10*i + 8. Let m(w) = -w - 1. Let y(t) = -h(t) - 12*m(t). Let p be y(2). Is k(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617858915 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 5*t + 5. Let l(z) = -3*z**2 + 4*z + 4. Let v(y) = -4*d(y) + 5*l(y). Let b(x) = 2*x. Calculate v(b(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 9*j + 0*j)*(5*j**2 - 6*j**2 + 0*j**2) + 6*j**3 - 3*j**3 - 4*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45661035*m**2 - 2330620*m - 9?\nAnswer: 91322070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:25 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 27 - 30*q)*(-q + 0*q - q - 4) - 4*q**2 - 5*q**2 + 2*q**2 as m*q**2 + a*q + b and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -2*x, -3*o + 7*x = 12*x - 27. Let d(r) = 4*r. Let p(v) = -v. What is o*d(q) + 14*p(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23a548 + 148?\nAnswer: -23a400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let s be y(-1). Suppose 3*g + r - 27 = 0, -2 = -s*g - 5*r + 3. What is the highest common factor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649 divided by 10?\nAnswer: -649\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -17*h - 2. Let m(b) = 3*b**2 + 17*b + 24. Let f be m(-2). Calculate z(f).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*i - 160761 + 725201. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 + -0.077. Let i = m + 25.837. What is i rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k + 87. Is 6 a factor of k*((-2)\/3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01253311239 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + y. Let u be g(-1). Solve 4*n + 2*p - 26 = 0, 6*n = n - u*p + 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83942010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m + 20. Suppose -5*k = 3*x - 20, -k + 4 = -5*x - 28. List the prime factors of o(k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 27.2.\nAnswer: -571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (2*sqrt(1440))\/(sqrt(32) + -2*sqrt(32)).\nAnswer: -6*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -204, -196, -188, -180?\n\"Answer: 8*s - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19150 = -20905. Is c a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 + 275\/(-44) + (-418)\/(-66)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3723\/53363)\/((-10)\/(-86)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275983 by 1.\nAnswer: 275983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22454.051474 + 22454. Round a to 3 decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Let a = 2 + q. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -85. Let v be (9 + o)\/(-18) + 2000\/(-3). What is v rounded to the nearest ten?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582 - 583) + 0 + (0 - 0) + 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:45 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:36 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -12. Suppose -t - m = -2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19852 at least -6017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818965 is divided by 272986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34254, 35312, 36382, 37470, 38582, 39724, 40902, 42122?\nAnswer: 43390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -5147\nAnswer: 66911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) + ((-343)\/(-42) - 8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 10 = 20*m. Suppose 0 = 2*z - b + m + 17, z + b = -15. Let s be 20\/112 + 6\/z. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5414 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 728782 divided by 4?\nAnswer: 364391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -2\/7 (c) -0.3 (d) -0.2 (e) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/144 - 3 - 19\/(-90)*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9731 or 9574?\nAnswer: 9574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19788 - -19779. Let h(r) = -7*r - 3. Determine h(u).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(3*u - 5*u - 11*u).\nAnswer: 117*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 15. Let r(k) = 5*k + 16. Let y(x) = -4*f(x) - 3*r(x). Let c(j) = -3*j + 12. Let l be c(0). List the prime factors of y(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -378\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 87\/2 of a millisecond?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -g + 2*a, 0 = 5*g + 3*a + 26 - 36. Suppose -5*r + 2*y + 43 = 0, 33 = 3*r + y - 4*y. What is the remainder when r is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 9?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 3717198.\nAnswer: 29737584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:06 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987037580?\nAnswer: 2, 5, 49351879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t**2 - 2*t**2 - 5*t**2)*(3 - 3 - 2).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2 (c) 20 (d) -51\/2 (e) -1\/3 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 42 = -14*z. Let u(x) = -2*x**2 + 21*x + 3. Let i be u(z). What is the highest common factor of i and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose -w*f = -32 - 44. Let o(v) = 38*v - 152. Let j be o(5). What is the greatest common factor of j and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*x = -5*a, x = 2*a + 2. Let k be 0\/((-3)\/(6\/a)). Suppose k*n = -4*n + 308. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 884, 3053, 6658, 11699?\n\"Answer: 718*y**2 + 15*y + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*144.\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccssscctctsjcxcc. What is prob of sequence xcct?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 44756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 3*t**2 - 2*t**2. Let b(y) be the second derivative of -1\/6*y**3 - 3*y + 0 + 0*y**2. Give q(b(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1785)\/14*16000\/3. Round q to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1713 + 1685. Is g at most as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1145*h + 12. Let d(t) = -2*t - 2. Give -5*d(c) - x(c).\nAnswer: -1135*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seeese. What is prob of sequence se?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01122472841 to 4 dps.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 17*h**2. Give u(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 4269885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/30)\/(3\/(-10)). Let r be -40*(-2)\/y*(2 - 3). Suppose -p + 13 = -3*s, -5*s + r = -0*s. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -42. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 1662*n - 5004 = 0. What is n?\nAnswer: -834, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 14 - 12 + 21*o to the form l*o + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/5)\/k)\/(k**(-1\/7)\/k)*(k*k\/k**4)\/(k*k*k**(-1\/5)\/k)*(k**(2\/3)*k)**(8\/7)*(k\/k**6)\/(k\/(k**(-2)\/k)*k) assuming k is positive.\nAnswer: k**(-982\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + (-18)\/(-8). Let w(h) = h**3 - 15*h**2 - 3*h - 67. Let d be w(15). Let c = d - -118. Calculate the highest common factor of s and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -915 - 2?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 0.4 (c) 8 (d) 0.2 (e) -0.5 (f) -529\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-68)\/12*-1*-3. Let h = i - -16. Which is bigger: 0.4 or h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 1 - 1 + (-h - 3 + 3)*(-h - h + 3*h) - 21*h**2 + 14 + 14*h**2 - 5 to the form p*h**2 + l + t*h and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/15 - 7*r**5\/2 + 173*r**4\/3 + 803*r. Find the third derivative of m(h) wrt h.\nAnswer: -48*h - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3420 and 85\/236778?\nAnswer: 7103340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4*p + 28. Let v = 125 - 125. Let l be n(v). Suppose -2*d = -2*g + 54, 4*g = d + 81 + 30. Calculate the highest common divisor of g and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-4 + (2 - (-14 - -8))) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4744105 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 38\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1177178*k**2 + 300692*k wrt k.\nAnswer: 2354356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - 7. Let j = -28306 + 28313. Let o(n) = n**3 - 5*n**2 + 4*n - 3. Let y be o(4). Let z(x) = -5*x - 3. What is j*z(k) + y*a(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) + ((-6)\/(-9) - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 19. Let h be m(-11). Let c(p) = 26*p - 11*p - 15*p - p**2 + p**h - 9. Determine c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-4 + (-1 - -18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {d: 5, o: 4, v: 4, a: 1, n: 5}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -970196*b**4 + 3*b**2 + 24*b - 2973?\nAnswer: -23284704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*k**3 + 62 + 63 - 125.\nAnswer: 142*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9589213 is divided by 911?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 369.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/600 - 71*w**5\/300 - 259*w**4\/24 - 245*w**3\/6 + 83*w**2\/2 - 68. Let c(a) be the second derivative of i(a). Factor c(n).\nAnswer: -(n + 1)*(n + 35)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92620?\nAnswer: 2, 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203 - 65 - 86 + 2*y**2)*(0*y**2 + 3*y**2 - 2*y**2)*(4 - 4 - 2*y).\nAnswer: -4*y**5 - 104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 683*x - 677*x. Solve -1 = x*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = h - 9, -5*f = -3*h + 23. Solve 2 = -k - h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 3*t**2 + t - 3. Let z = 12 - 1. Suppose 0 = -2*d - 3*d + b + 11, -3*d = -5*b + z. Let r be o(d). Solve r = -4*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -596 + -3a91?\nAnswer: -4357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:20 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19088 plus -1592047?\nAnswer: -1572959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 5. Let k be b(2). Suppose 8*p - 12*p = -16. Suppose k - 1 = p*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*i**2 + 14187 - 14187 to the form l*i**2 + o + j*i and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 16 + 2 + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 44. Let g be 2 + 0 - (-2 - n). Does 15 divide (-4)\/g - (-1332)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2733.\nAnswer: 273.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:30 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eessjpjjzhps. Give prob of picking 1 p, 1 s, and 1 h.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 274176333 and 8.3.\nAnswer: 274176341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9725, 8915, 7593, 5759?\nAnswer: 3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 - j + 1. Let o(h) = 6*h**3 - 2*h**2 + h. Let k(q) = 23*q**3 - 21*q**2 + 12*q - 3. Let z(d) = k(d) - 9*o(d). Give 6*x(v) + 2*z(v).\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 + 151.2. What is the fourth biggest value in a, 2, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, -0.64 in ascending order.\nAnswer: -0.64, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37438.\nAnswer: 2, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 1131086 + 124946 = 269035. What are the prime factors of o?\nAnswer: 11, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/34 - 198\/(-51). Suppose 3*d + 4*i - 712 = 0, d - q*i + 99 - 315 = 0. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31210018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -20.94. Let o = d - -0.26. Which is the biggest value? (a) 0.1 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 5*r, 5*t - 7*r = -5*r + 5. Let d be t - (147\/12)\/(3\/(-84)). Let g = 100 + -57. What is the greatest common divisor of g and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -37*d**4 - 4*d**2 - 16*d. Let p(k) = -111*k**4 - 11*k**2 - 48*k. Let m(i) = -4*p(i) + 11*r(i). Find the second derivative of m(g) wrt g.\nAnswer: 444*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + 81\/(-2). Let m be 2869\/(-57) - (-4)\/3. Let r = w - m. What is the smallest common multiple of r and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*u - 12, u + 3*s = 2*u - 9. Let q(j) = j**3 + 2. Let m(z) = -3*z - 1. Let l be m(-1). Let k(c) = -c**2 - 2. Give l*q(v) + u*k(v).\nAnswer: 2*v**3 - 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27129492*z**2 + z - 413021986 with respect to z.\nAnswer: -54258984*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 64. Let r be -116*(3\/m + -2). Suppose 51*z - r*z = -532. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 5, t: 1}. What is prob of sequence ooti?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 772 and 579?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/8))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 313479265*q**3 - 50669337?\nAnswer: 940437795*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-171)\/(-36))\/(-19))\/(2\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 less than 129?\nAnswer: 129.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = 175*l - 716. Solve -3*i - l = 0, -2*w + 3*w + 3*i = 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-8 - -2) - (-37 - -53).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332915279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70831 is divided by 2337.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18885481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + 1 + (-1*sqrt(7))**2*4.\nAnswer: sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7525845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64 and 113650?\nAnswer: 113586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 163.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -7*j**6 - 2*j**5\/5 - j**2\/2 - 44*j + 348. Find the second derivative of p(i) wrt i.\nAnswer: -840*i**3 - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920900 rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0*o + 0*o - o**3 + 0*o**3 - 3*o**2 + 3*o - 1. Suppose -r = r + 8. Let t(p) = -p**3 - 4*p**2 + 4*p - 2. Give r*s(j) + 3*t(j).\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.066143 to 1 dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31258389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k - k - 4*k**2 + 5*k**2 - 2*k**2 + 2*k**2 + 2*k**2 - k**2 + (-k - 3*k + 6*k)*(3*k + 0*k - 2*k) + (-k + 2 - 2)*(-3*k + 0*k + 5*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3232, 3235, 3248, 3277, 3328, 3407, 3520?\n\"Answer: j**3 - j**2 - j + 3233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 32*d**3 - 12*d**2 - 88*d + 64.\nAnswer: 4*(d - 1)**2*(d + 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*-3*(-5)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/9)\/((-2)\/4). Let u = -0.35763 + 5.35763. Put u, f, 6, 0 in decreasing order.\nAnswer: 6, u, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(9\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 22*c - 109. Calculate j(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + t**2 + 1. Let a = -4 + 6. Suppose 6*x + 4 = a*x. Let f(j) = -885*j + 2*j**3 - j**3 - j**2 + 1770*j - 886*j. Calculate x*f(d) - m(d).\nAnswer: 2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) -2.6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 - 25*u. Let w(n) = 2*n**2. Determine a(w(j)).\nAnswer: 28*j**4 - 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1319\/10 - 132. Let f = -3.6 + -0.4. Which is the third biggest value? (a) 0 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3087 - 645168\/209. Calculate the common denominator of x and 62\/9.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 118*c**2 + 719*c - 11. Give v(7).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12694057 is divided by 3173506?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279 - 2*w - 253 + 715 + (2*w + 2*w - 3*w)*(-4 + 4 + 1).\nAnswer: -w + 741","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14733435?\nAnswer: 3, 5, 227, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -225, -224, -223?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 + 91*c**2 - 90*c**2 - 9 + 9. Give a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 0*o + 0*o + (2*o**3 + 5*o**3 - o**3)*(-4*o**2 + 3*o**2 + 2*o**2) - o**5 + 3*o**5 - o**5.\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*g + 0 = -5, 2*g = -2*u + 2. Suppose 3 = a + u. Suppose 0 = -a*x - x. Solve -12 = -x*t + 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88098400 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**2 - 5. Let n(v) = -5*v. Give n(k(x)).\nAnswer: 40*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -788.\nAnswer: -5\/788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(33)\/sqrt(3)) - sqrt(14)*1*3)\/(sqrt(6050)*-1*-5).\nAnswer: -2*sqrt(7)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000077927281 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 13*o**2 + 20*o - 4. Let b be j(14). What is the remainder when ((-96)\/(-60))\/(1\/b) is divided by ((-51)\/(-9) + 1)\/(95\/(-15) - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 308, 836, 1734, 3092?\nAnswer: 5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 35 - 112*r + 2*r**3 + 3 + 111*r in the form c*r + h*r**2 + f + x*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 2 - 10*j**3 + 0 - 3 + j**2. Is t(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -25, -80, -183, -352, -605, -960?\n\"Answer: -3*c**3 + 3*c**2 - 13*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 121, 191, 241, 265, 257?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17432\/(16\/(-2)) - (-3 - -11). Which is the second smallest value? (a) 1\/3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79028.\nAnswer: 2, 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let w(j) = 89*j - 8. Let v(k) = 5*o(k) + w(k). Suppose 0 = 2*l - 3*l + 3*b + 15, 4*l + 2*b - 18 = 0. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 i when four letters picked without replacement from gligiiiffffigi?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*c**2 - 903*c**2 + 314*c**2 + 305*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7696?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 6. Let b(k) = -2*k**2 - 2447. Determine b(g(x)).\nAnswer: -8*x**2 + 48*x - 2519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 2*y**3 - 4*y**3)*(2 - 1 + 0) + (-3*y - 5*y + 0*y)*(-y**2 - 1 + 1).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(19) + (1*sqrt(76))**2) - ((-4*2*sqrt(228))\/(sqrt(48) + sqrt(48) + sqrt(48) + sqrt(144)\/sqrt(3)))**2)*4.\nAnswer: 16*sqrt(19) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1240 and 5653904.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*((t\/(t*t**(-2)))\/t*t*t)\/t)\/t*t)\/t*t**6*t*(t**(-2\/39)*t*t)\/(t\/t**(-17)) assuming t is positive.\nAnswer: t**(-197\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-4*-5 + -5.\nAnswer: -5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1717 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -19 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6) + 18 + -20.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 216\/32 - 7 - 1\/(-36). Let x = 21 - 23. Let c = -10 - -5. What is the closest to 0.5 in x, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21738 + 62279. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - 17296 - 2*q - 7*q - 8*q.\nAnswer: -q - 17296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -441 and -5?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-260))\/((-21)\/(-273))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 3*h)*(-334 + 61*h + 334)*(5*h + 4*h - 5*h).\nAnswer: -244*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150954.\nAnswer: 2, 3, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k**4\/2 - 5455*k**3\/2 + 3255*k**2 = 0 for k.\nAnswer: 0, 6\/5, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n - 111 = -38*n. Let f = n + -31. Let d(w) = -w**3 + 5*w**2 + 7*w. Calculate the lowest common multiple of 18 and d(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139025 and 956575?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(3\/17)*x)\/x*x))\/(x**27*x) assuming x is positive.\nAnswer: x**(-479\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 0, 0.04 in decreasing order.\nAnswer: 0.04, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 87*s + 76*s + 16*s**2 - 5*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2154, 15886, 53146, 125694, 245290, 423694, 672666, 1003966?\nAnswer: 1429354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2710.989 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50671082.\nAnswer: 2, 7, 11, 89, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682.5747nm to centimeters.\nAnswer: 0.00006825747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101000110001101000110100 (base 2) to base 10\nAnswer: 10689076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4133*v**2 + 479*v - 3. Let a(b) = -8283*b**2 - 957*b + 6. Let h(n) = -6*a(n) - 11*z(n). Find the second derivative of h(s) wrt s.\nAnswer: 8470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 610*q**2 - 5491*q\/3 + 1.\nAnswer: (q - 3)*(1830*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/4 + 3)*(-1 - -3). Let x(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/3 + i. Let t be x(o). Solve t = -5*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 9:46 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -229, -240?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 226763016\nAnswer: 1\/226763016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 21*b**2 + 15*b + 14. Let s(c) = c**3 - 10*c**2 + 7*c + 6. Let u(n) = 4*i(n) - 9*s(n). Calculate u(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - l - 2. Let x(i) = -i**2 + 7*i - 8. Let z be x(6). Calculate the least common multiple of r(z) and ((-33 - -9)\/(-6))\/(1\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 75 = 2*d. Let f be (-72)\/d + 1\/5. Suppose -2*y - f*a - 42 = -4*y, 0 = -2*y + 3*a + 42. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 960, 0.1, 113, -3 in descending order.\nAnswer: 960, 113, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 11.1?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -3*s. Let v be (-2)\/8 - 13\/(-52). Suppose v*l - 7*l = -28. What is the highest common divisor of s and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254 + -170. Suppose 7*v - 3*v - j = 0. Let r = 403 + -299. Calculate the remainder when r is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -2837324?\nAnswer: 2837320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -1 (b) -11\/5 (c) 3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9741 + 9750. Solve -2*w - 2 = 8*k - c*k, 0 = 2*w + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130277.9 times -4.6?\nAnswer: 599278.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgppkkogo. Give prob of picking 1 p and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-30))\/((-6)\/(-9)). Let l = 3 + -17\/6. Put h, -7, l in ascending order.\nAnswer: -7, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 5*d**2\/2 - 97*d + 104. Give f(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 2) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1111011000?\nAnswer: 1111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357931.\nAnswer: 7, 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + a = -11700, h - 1456 = -4*a + 1503. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4*(-3)\/(-18))\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 + 190*z + 96. Let o be j(48). Solve o = -x + 2*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112100222221 (base 3) in base 6?\nAnswer: 25241511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33355 divided by 33355?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6205\/(-20) + 7\/28. Let s be (-548)\/(-14) - (z\/35 + 9). Solve -a = -s + 40 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3245 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 154 - 161 + v)*(0 + 0 - 2*v).\nAnswer: 4*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*f + 6, 3*z - f - 12 = 2*f. Suppose -3*y + z*y - 72 = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689645, 689569, 689493, 689417, 689341, 689265?\nAnswer: 689189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -30*b + 33*b + p, -3*b + 3 = 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + 1 + sqrt(275) + (0 + sqrt(22)\/sqrt(2))*-4)**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2272.39556*3.\nAnswer: -6817.18668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/11 + (0 - -3). Let t(z) = 6*z**3 + 3 - 1 + 4*z + 4*z**j + z**2 - 5*z**3. Let o be t(-4). Solve -o*a = 3*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3496 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -2167\/320?\nAnswer: -2167\/320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9144*q**4 - 906*q**2 - 7*q - 518317921.\nAnswer: 36576*q**3 - 1812*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -37 + 75\/2*u - 1\/2*u**2 = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -6557?\nAnswer: -6560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2160103 + 1534?\nAnswer: -2155236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s + 1805. Determine i(94).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 33 = -3*k, 828*s - 2*k - 6*k = 832*s - 92 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 - 15*s**3 - 63*s**2 - 69*s - 24 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + -2 + 23\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734795 to the power of 1\/2, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 27*g + 7. Calculate t(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 + 17*m + 5\/3*m**3 + 0*m**2 + 25\/12*m**4 + 3\/4*m**5. Solve y(s) = 0 for s.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3 - 43*a**2 + 10573*a + 11716303 wrt a?\nAnswer: -9*a**2 - 86*a + 10573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -206 in 0.5, 6, -2\/13, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 3. Let n(p) = -p + 0*p + 2*p + 4*p + 16. What is 11*j(c) + 2*n(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + (3 + 0 + 2)*(-5 + 4 + 0))*(-62*z - 94*z - 27*z)*(-4 + 1 + 1).\nAnswer: -1098*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + 3 + 8 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356002274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 97?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 1. Let l(x) = -4*x**2 - x + 1. Let a = -16 + 11. Let t(d) = a*g(d) + 2*l(d). Is t(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90 - 122191?\nAnswer: -122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8002111?\nAnswer: 13, 59, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1224, -5, -3.\nAnswer: -5, -3, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -65. Sort r, -2, -2\/13 in increasing order.\nAnswer: -2, r, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 293020.\nAnswer: 293019.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 2\/3, 4.9, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3\/16 (c) 2 (d) -131375\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*b*g*q + 4*b*g - 622*b*q**2 + b - g*q**2 - g + 3564 wrt q?\nAnswer: -28*b*g - 1244*b*q - 2*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-30) + (-2)\/12. Suppose -4*j + 8*j = v. Solve j = 3*f - 8*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqeeieeiimqepqeeqi. Give prob of picking 1 m, 1 q, and 1 i.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -2834\nAnswer: -47\/2834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 23189*z + 139173. Calculate v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 3. Let i be o(-7). Solve 2*p = -3*z + 4, 2*p + 24 = -0*p + i*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2992836274 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1\/2*v**4 - 110*v - 66*v**2 - 56 - 23\/2*v**3 = 0.\nAnswer: -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2 + ((-1260)\/(-32))\/21. Let c be (-1)\/5 + 1\/5. What is the nearest to 1 in 5, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 23. Determine c(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let a(b) = -b**3 + 8*b**2 - 6*b - 5. Let x be a(7). Let v(i) = -i**2 + 8*i**2 - 5*i**x. Give v(u(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621 + 347 + 328 - 2*a**2.\nAnswer: -2*a**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*z**2 - 148*z - 334*z**2 + 149*z.\nAnswer: -235*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 201, -0.274, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 280 = 266. Is -181\/2 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1953.70002368 + -1953.7. Round g to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 246636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 615\/25*4\/((-48)\/(-20)). Solve -z*i + 39*i = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1007000 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-45)*m**(-1)*m**(2\/33)*m assuming m is positive.\nAnswer: m**(1487\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 437, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 286, 435, 846, 1651, 2982, 4971, 7750?\n\"Answer: 22*w**3 - w**2 - 2*w + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(891) - (sqrt(891) + 1 + sqrt(891))) + -3 + sqrt(891) + 1)**2.\nAnswer: -21390 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*a + 5*a**3 - 45*a)*(4*a + a**2 - 4*a).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29151 and 1927?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128))*3.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0*g + g - 11*g - 5. Let m be j(-2). Suppose -4 = 3*t + 5*a, -3*t + 4*a - 1 = -m. Let l(d) = -d + 3. What is l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1558674*s*x**3 - s*x**2 - 2*s*x + 2421*s + 10*x**2 - 3*x wrt x.\nAnswer: -9352044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + w**2\/2 - w. Let t be (4\/(-5))\/((-6)\/(-30)). What is the units digit of a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.18 - -1.1382. Let r = y - 58.5582. Round r to zero decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2299, -90\/11, -5, -1\/10 in increasing order.\nAnswer: -90\/11, -5, -1\/10, 2299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 + 2*f - 20. Let m be y(-4). What is the least common multiple of (7 - 9) + m - -3 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) -28 (c) -29\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -50. Suppose 4*p - 24 - a = 0. Find the third derivative of 0*b**2 - 2*b**2 - 3*b**4 + 3*b**4 - p*b**6 wrt b.\nAnswer: -1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402, -2, -1, -5.\nAnswer: -402, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*k. Suppose k = y - 3*u - u + 18, -y + 3*u = 14. What is the units digit of (3 - y) + 6 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 5 (c) 2\/13 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4736*z**3 + 23687 with respect to z.\nAnswer: 14208*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215 - -52?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770 divided by -1.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.969 + 0.97. What is r rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5121, -5130, -5139, -5148?\n\"Answer: -9*l - 5112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) 1 (d) 0.4 (e) -609 (f) -4\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-1*-4)\/(4*(sqrt(192) - sqrt(12))))**2 + (sqrt(128)*1*-1 - sqrt(128))**2 + (sqrt(128) - (1*sqrt(128) + -4))**2.\nAnswer: 4754\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87224.14 decades?\nAnswer: 10466896.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c*h*n**2*v - 689200*c*h*n*v - 1849937*c*n**2*v + 2*c*n**2 + 4*c*v + h*v wrt h?\nAnswer: -6*c*n**2*v - 689200*c*n*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0 + (-1 + 4 - 2)*(2 - 4 + 3) + 1 + 0 - 2 + 0 - 4 + 2)*(0*j**3 - 2*j**5 + 0*j**3).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) - 8\/20. Which is smaller: s or 6\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -5, -44, -3539\/29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 783 + 999 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61508581.\nAnswer: 257, 239333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3785989*l**2 + 4188263*l wrt l.\nAnswer: 7571978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c5 + 19e?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77.1402 + -0.0402. Let s = w - 76. Which is the closest to -1? (a) s (b) 0.5 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 345 = -z, -3*y + 2*y = -2*z + 735. What are the prime factors of z?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 460554.6 millennia?\nAnswer: 5526655200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 1 - (-436 + 457) - (0 + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(4*c + c - 12*c)*(-2*c - c + 4*c).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + z - 5 + 76*z - 1. Is o(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = l + 79, -2*b - l + 5*l + 46 = 0. Calculate the remainder when 126 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/7)*s)\/((s\/(s*s\/((s*(s\/s**(-4)*s)\/s*s*s)\/s)))\/s))**(-26) assuming s is positive.\nAnswer: s**(754\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3408*o**3 + 41*o**2 + 6830*o**3 - 3420*o**3.\nAnswer: 2*o**3 + 41*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148402*g - 1148383*g = 361 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -604 + 611. Let b = -2 + 4. Calculate the remainder when 12 + ((-3)\/(-3) - b) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389681382 divided by -6?\nAnswer: 64946897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-443.597.\nAnswer: -2217.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(114) + sqrt(114) + sqrt(114) + -2*sqrt(114)*-1 + sqrt(114) + sqrt(114))\/sqrt(6) - (4 + sqrt(684) + -3*(0 + sqrt(684))))**2.\nAnswer: -190*sqrt(19) + 6884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-15)\/(-2))*768. What is the greatest common divisor of w and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 32 = -0*b. Suppose -3*h + 2*c = -21 - b, c = 5*h - 93. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, i: 2, y: 2, x: 1, c: 1}. What is prob of sequence yc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1743*b**2*p**2 - 1178*b**2*y + 3*b**2 + 8090*b*p**2*y + 404*y wrt p?\nAnswer: -3486*b**2*p + 16180*b*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 - 0.304. Let f = 0.97 + t. Let l = f + -7.54. Round l to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(-1 - 4 + 3) + 1 - 1 - i + i + 0*i - 2*i + i + 0*i + 0*i - 2 - 2*i + 2 + (0 + 3 - 4)*(-2*i + 3*i + 0*i) - i + i + i - 30*i - 18*i - 38*i.\nAnswer: -93*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.915 or 0.05?\nAnswer: 1.915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*1 + -5.\nAnswer: -5 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**7\/420 - 7*c**6\/180 - 12*c**3 + 16. Let i(t) be the third derivative of n(t). What is the third derivative of i(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**1*i)**47)**48)**(-49) assuming i is positive.\nAnswer: i**(-331632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -83*u - 129. Let y be o(-6). What is the highest common divisor of 3813 and y?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + -45 + 118 - (60 + -1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 200*s**4 + 16*s**2 + 1.\nAnswer: 60*s**2 + 4800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-6))\/((-6)\/24). Suppose -l*x + 16*x = 4. Let k(y) = -619*y**2 + y**3 - 3*y**3 + x*y + 1 + 618*y**2. Determine k(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*d + 6043 = 13047 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (94 - 81 - 84)*(3*j - 2*j + j) in the form z*j + d and give z.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4232315 and 17.\nAnswer: 4232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 456 - 447. Suppose r + 3*r - 14 = 2*h, 3*h - 3*r + 6 = 0. What is the remainder when t is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100010000010111100001 (base 2) to base 3\nAnswer: -20001020002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.292 take away -724.88128625?\nAnswer: 724.58928625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7669900 and -0.5.\nAnswer: -3834950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -807, -409, -13, 381, 773, 1163?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 659 + -336. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (-14)\/((-154)\/(-33)). Solve 4*h = 3*q + 10, -4*q = b*h - 3*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = l + l - 2, -4*p + 28 = -2*l. Let h be 60\/(-50)*5*(-2)\/4. Solve -h - 22 = p*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 269, 3, 0.2?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmdddmmmdmmdmmmmd. Give prob of sequence dmm.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10217566 to the nearest 1000.\nAnswer: -10218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f. Let q(a) = 95*a + 428*a + 2 - 1038*a. Calculate u(q(h)).\nAnswer: -2575*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.0376\nAnswer: 0.01504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 133846024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013327\/12 less than or equal to 84445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + 848 - 608 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*v - 4*v. Suppose 0 = 3*k + 5*u - 5, -6*u + 2 = -2*k - 4*u. Sort -5, v, k in decreasing order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 166 - 928 - 1191.\nAnswer: 2*i**2 - 1953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/80 - ((-1660)\/1120 - 1\/7). Solve 0 = -r*w - 34*p + 29*p, -2*p = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10708*p + 9723*p = -54175 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -61.85198.\nAnswer: 4.3296386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggllgggllgglggggggg. What is prob of picking 3 g and 1 l?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let q = 6 + t. Let s(o) = -10*o - 30. Let m be s(-3). Which is the closest to m? (a) q (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 1 + 1)*(-2*k**3 + 3*k**3 + 4*k**3) + (-383 + 383 + 31*k)*(k**2 - k**2 - k**3) to f*k**4 + p + t*k**2 + j*k + o*k**3 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 - 1 - (5 + -5). Suppose -2*z - r = 4*f, -2*z - 3*z + 55 = -5*f. Is (-4)\/(f\/6)*(-3730)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000419 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 117. Solve u*o - o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 59 = 4*i. Calculate the remainder when 66 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -5*(-104)\/40. Solve -4*g = -4*g + w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1936043?\nAnswer: -1936038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n**13\/n)*n*n*n)**(-2\/25) assuming n is positive.\nAnswer: n**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1320\/203 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) - (-19)\/3. Suppose g + 3 + c = -i, -4*i - 27 = g. Let q be (3\/2)\/(i\/(-4)). Put 2, q, -2 in ascending order.\nAnswer: -2, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 8. Let r = 27 - 22. Let i = 12 - r. Let w be n(i). Which is the biggest value? (a) 0.6 (b) -3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q\/q**(-1\/5)*q)))\/q*q**14)**(-10))**(-12\/5) assuming q is positive.\nAnswer: q**(1704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 29. Suppose u - i = -3*u. Suppose -b = -2*b + u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -17*c**2 - 2*c + 1. Let n be d(3). Let v be 1\/3 - n\/(-48). Let o = v + 17\/6. What is the nearest to -0.2 in -1\/2, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (21 + -18 - -11 - 18) + 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11445391, 11445398, 11445427, 11445490, 11445599, 11445766, 11446003, 11446322?\n\"Answer: 2*k**3 - k**2 - 4*k + 11445394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + c**2 + 0*c**2. Let w(s) = -19*s**2 - 12*s. Let r(k) = 17*k**2 + 10*k. Let o(b) = -6*r(b) - 5*w(b). Determine d(o(z)).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from kbcxrbrrrrkrk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675673564?\nAnswer: 2, 809, 208799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-649)\/198 - (-8)\/12 and 1\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 80. Give p(38).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.1 + 20.1. Which is the nearest to u? (a) -4 (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**3 + 0*q**3 + 0*q**3)*(3 - 3 + 12*q)*(-4 + 3 + 2) in the form v + o*q**2 + d*q + r*q**3 + b*q**4 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 2*a**3 + a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183496712 and 7112?\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 1\/4*j**5 - 3*j**2 + 5\/6*j**3 + 0 - 1\/3*j**4 - j. Does 14 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**7\/840 - j**6\/40 + 2*j**3 + 10*j. Let r(i) be the second derivative of d(i). What is the third derivative of r(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1148 + -1145. Put x, -100, -1\/4 in increasing order.\nAnswer: -100, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb6a0 - 1?\nAnswer: -bb6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3109*k*x**2 - 129*k*x + 509*k + 196441516*x**2 wrt k.\nAnswer: -3109*x**2 - 129*x + 509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206177 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -631, -4142, -12989, -29626, -56507?\n\"Answer: -409*h**3 - 214*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 10. Suppose 4 = f*t - t. What is the second smallest value in -5\/4, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4815054389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Let w(l) = -24*l - 1. Is w(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - j - 185260, -457*l - 3*j - 148197 = -461*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4634.7?\nAnswer: 1390.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255 - 2114 = -7*b + 3*c, 3*c = -9. What is the lowest common multiple of 90 and b?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76)\/sqrt(4) + 5)**2 + (-5 + sqrt(19)*2 - sqrt(19)) + -2*sqrt(1539)*3 + sqrt(1539).\nAnswer: -34*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/66)\/(((-2)\/108)\/((-672)\/(-504))).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -20. Let u = -10 - z. Suppose -q = 1 - u. Sort 4, q, -2 in descending order.\nAnswer: 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3142718.663 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 4*a - 1. Let i(m) = m**3 - 2*m**2 + 1. Let p(o) = h(o) - 2*i(o). Calculate the lowest common multiple of 21 and p(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.54 + -26.54. What is the third smallest value in 3\/5, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 15*n - 44 = 0. Let d be (((-55)\/(-2))\/(-5))\/(n\/(-22)). Solve -c + 8 = 3*k, -k + 2*c - 4*c = -d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1621, -3210, -4797, -6382?\n\"Answer: b**2 - 1592*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 454 and 1135.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 62*y**2 + y - 80. What is n(62)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 24d17?\nAnswer: 24d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1453 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3182 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -5*l**4\/12 + 5*l**2. Let p(c) = 2*c. Determine p(v(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 9*p + 5. Let b(l) = -5*l**2 - 9*l + 6. Let a(y) = -5*b(y) + 6*j(y). Find the second derivative of a(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17375 is divided by 1258?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47.2 less than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -400, -406, -412, -418?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 1\/4, 0.4, -9\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114686 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 24 = 11*d. Let k(j) = -5*j + 0 + 3 + j - 2*j**2 + 5*j. Let q(v) = 5*v**2 - 2*v - 8. Calculate d*k(i) + 3*q(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -3*a, 7*g - 2*a - 8 = 3*g. Solve 8 = -2*y - g*x, -2 = 2*x - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74464 by -4.\nAnswer: 18616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s + 0*s)*(-2 - 1 + 5) + 351*s + 816*s - 271*s.\nAnswer: 904*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45187717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (55 - -3) + -31?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n**3 - 8*n**2 - 3*n - 1. Let r(i) = 27*i**3 + 9*i**2 + 2*i + 1. Give -5*r(g) - 4*w(g).\nAnswer: -19*g**3 - 13*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01363 and -4430.\nAnswer: -4430.01363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 382640 divided by -38264?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 28 = 43. Let w be (23 - 13)*(-21)\/r. What is the greatest common factor of 8 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**3 - 3*z**4 - 6*z**3)*((-2 - 3 + 6)*(-z - 2 + 2) - 60*z - 170*z - 73*z).\nAnswer: 912*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a - 1181 = 79*a - 341 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**27\/d)\/d)**(-9)*((d*d**25)\/d*d)\/d*d*d*d*d*d*d**(5\/8)\/d*d assuming d is positive.\nAnswer: d**(-1555\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/252 and -107\/7560?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3575702725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2273, -9256, -20951, -37358?\n\"Answer: -2356*v**2 + 85*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q**2 - 28*q - 37. Let k be i(-18). Let n = -2862 - k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxwx when four letters picked without replacement from xxxxxwxxw.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 98215353027443 + -2\nAnswer: 98215353027441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let i be (-2)\/(2 - (-36)\/(-15)). Suppose g + 11 = -i*l, 5*l = -2*y - 13. Calculate the highest common divisor of y and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 213 and -0.5?\nAnswer: -106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0473 - -0.9527. What is the fourth biggest value in -0.3, -2\/5, j, 0.008?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + 324\/7. Let d = t + -12. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*m - 436 = -172*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25241, 19, 2 in descending order.\nAnswer: 25241, 19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + n + 7 = p, -3*p - n + 1 = 0. Solve 4*w = 4*c + 12, 4*w = -0*c - p*c + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 960 - 539. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -5. Suppose -2*m = 2*s - g, -5*m + s + 2*s + 20 = 0. Let x(z) = 0*z - m*z + 6*z. Let j(y) = 2*y. Give x(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/(p**(-18)\/p)*p**(-5\/8)*p*p**(-6))**(-10\/9) assuming p is positive.\nAnswer: p**(-895\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 48*o**2 - 290*o + 7312. Calculate g(45).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 27018 + 6040. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3939 = 604*o + 3296 + 26119 + 4094 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*y = 4*y - 224, 3*b + 4*y - 166 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879830541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499215 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-1 - 0) - (-86)\/(-43). Let n(j) = 9*j**2 - 1. Let v be n(1). Put v, 2, y in increasing order.\nAnswer: y, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 54 + 9\/4*f**4 + 30*f + 0*f**2 - 3*f**3. Find the first derivative of k(b) wrt b.\nAnswer: 27*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.8307 + 88.9127. Let m = -82 + n. What is m rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - w - 3. Let b(l) = 3*l**2 - 2*l - 5. Suppose 4*k = -n + 10 + 3, 5*n - 35 = -5*k. Suppose -s + k*s + 7 = 0. Determine s*d(c) + 4*b(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1477*w + 184. List the prime factors of u(4).\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose i*l - t = 3*l - 10, 2*t = 4*l - 70. Solve -4*f + l = -3*j, -f - 20 = j + 3*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 12}. Give prob of sequence ggg.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -413240?\nAnswer: 41323a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3458 + 11949 = -217*s for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/3*(-999)\/6 + 1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(8) - (sqrt(32) + sqrt(8))) + -4)**2 + 3 + (sqrt(2) - sqrt(2)*-3) + 1 + sqrt(24)\/(-2*sqrt(12)).\nAnswer: 39*sqrt(2)\/2 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-63)*287 + 2\/(-3). Let z(j) = -18 + 0 + j**2 - j - 6*j. Let x be z(o). What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3\/2 + 3*x. Let d(v) = -v. What is d(q(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**2 - 68295*l - 1641960 = 0.\nAnswer: -24, 13683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -1.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 5556*y + 27800. Give d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 6. Suppose -3*m + 24 = -2*j - j, -3*m = 5*j - 56. Solve 4*d = o - m, -k*o - d - 3 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/14)\/(-4 - (-2697)\/672). Calculate the highest common factor of 1136 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/(1\/(-2)). Let k be (1\/(-4))\/(-3 + g). Let n = -4.8 + 5. Which is the closest to 0? (a) n (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15535008 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzevzvzdzved. Give prob of sequence edez.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000964 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-23)\/w**29 assuming w is positive.\nAnswer: w**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 41 + 7. Suppose -5*g = -4*g - 9. Suppose 2*w + w = -3*x, 8 = -2*w - 4*x. Solve 2*i + 16 = w*s, -v*i + g = -3*s + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23221211 (base 5) in base 3?\nAnswer: -101201011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110233132000 + -201?\nAnswer: -110233132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241493, -241484, -241473, -241460, -241445?\nAnswer: -241428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = -633*r - 629*r + 1265*r + 75, -2*r - 20 = -5*q - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*g - 575*g = 572 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778*((-45)\/120)\/((-3)\/4) is divided by 189?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-4))\/((20196\/(-272))\/99)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 711589213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.9 - -228. Let k = n - 1.1. Which is the biggest value? (a) -1\/3 (b) k (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 7, v: 4, e: 2, a: 2}. Give prob of sequence vkkk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29960)\/(-23540))\/((-5)\/(-11)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*o**2*p**2 - 2*k*o*p**2 - 2*k*o*p + 2809*k*p**2 - 1739802*o**3 + o**2*p**3 + 3*o*p**2 - 44*o*p - p**3 wrt o.\nAnswer: 4*k*p**2 - 10438812*o + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 10 + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113718 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/12 - h**3 + h**2\/2 - 3. Let f(j) be the second derivative of b(j). What is the units digit of f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 11*f**2 - 3*f + 12. Let j be s(-11). Let x = j + -40. Solve 0 = 5*w - 4*g - g - 20, -2*w - x*g = 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*-3) - sqrt(1539)*4.\nAnswer: -109*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -66*2\/((-4)\/69). Let i = y - -36427\/16. Find the common denominator of 19\/20 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3201*o**2 - 27695*o?\nAnswer: -6402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**3 + 5*j**2 + 9*j + 11. Let s(l) = 16*l**3 - 7*l**2 - 13*l - 16. Calculate -5*s(c) - 7*y(c).\nAnswer: -3*c**3 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44212540, -44212517, -44212478, -44212423, -44212352, -44212265?\n\"Answer: 8*q**2 - q - 44212547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/13 + 1362*i\/13 - 25265060\/13 = 0. Calculate i.\nAnswer: -3911, 3230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 23 + 32 = -13*i + 128*d + 14, 0 = -3*i + 3*d - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:48 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(((-9)\/(-3))\/3). Suppose 4*w - 1985588 = -4*z - 225584, -2*w + 2*z = -879998. Suppose -5*h + 0*h - w = q. Round h to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8530*b + 25586. Calculate l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i. Let p(f) = 6*f - 7. Let w(y) = y - 1. Let b(k) = 5*p(k) - 35*w(k). Calculate b(g(x)).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 61 + 14. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*m**2 - 45*m**3 + 7*m**2 + 6*m**2)*((-1 - 2 + 2)*(-2 + m + 2) + m + 6*m - 3*m - 10*m - m + 2*m) as z*m**4 + p*m + y + k*m**2 + c*m**3 and give z.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 160 = -2*k, 4*k = -2*m + 442 - 132. Calculate the common denominator of (-28)\/12*(-44)\/(-7) and 4\/6 + (-245)\/k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u*u*u*u**(-2\/11))\/(u**(-1\/2)\/u)**(-30)*(u**(-1\/4)\/(u*u**(2\/3)))**(-45) assuming u is positive.\nAnswer: u**(1851\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, 624, 4 in decreasing order.\nAnswer: 624, 4, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3\/5 - 9028*p**2\/5 - 89916*p\/5 - 80892\/5 = 0?\nAnswer: -2247, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 30*p**2 + 40*p + 2. Let o(m) = 14*m**3 - 150*m**2 + 200*m + 11. Let s(t) = 11*g(t) - 2*o(t). Factor s(c).\nAnswer: 5*c*(c - 4)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.025 (c) 2 (d) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(-15)\/(-6)*64\/(-80). Solve -p*s - 41 + 83 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7473115*w**4 - 265824*w**2 - 15 wrt w?\nAnswer: 179354760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -312 in 0.4, -1, 2008?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 28 = 3*c, -10 = 6*c - 11*c + i. Solve -5 = 2*w + c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.239935 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455\/30 - (-3)\/(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*b = 104*b - 45. Let y(u) = -u**2 - 5*u + 4. Let n be y(-5). Calculate the least common multiple of 10 and n\/(-6) - (-24)\/b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2003 - -3887. Let m = k - 1883.141. What is m rounded to 2 decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6429, -12861, -19293, -25725?\nAnswer: -32157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2816, 0.6, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(36) - sqrt(4)) + sqrt(14))\/(sqrt(160)\/sqrt(5)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*q + 51 - 46 = 0, -3*y = 3*q + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.099 and 86.9?\nAnswer: -8.6031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 2 + 4 - 7 - 3*c.\nAnswer: -3*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6869, -12705, -18541, -24377, -30213?\nAnswer: -36049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 4*n - 2. Suppose 39*c = -30 + 108. Let i(h) = -3*h**2 - 9*h + 5. What is c*i(t) + 5*w(t)?\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96954.7ml?\nAnswer: 96.9547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 2*b + 0*b)*((4 + 3 - 5)*(-1 - 2 + 1) + (8 + 1 - 62)*(2 - 3 + 0)*(4 - 7 + 0)).\nAnswer: 815*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**(-8) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 10.\nAnswer: -37\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -31*t**3 - 2*t + 1. Let d(c) = 7*c + 7 - c**2 - 3 + c**3 - 9*c - 2*c**2. Let k be d(3). Is z(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21852288 minus 5.325?\nAnswer: 21852282.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01857211 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 10*a - 7*a - 784*a**2 + 1540*a**2 - 781*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*d - 12, -7*p + 2*p + 18 = 2*d. Suppose 0 = -5*s - 2*h - 87 + 356, -p*s + h + 223 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:25 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50.75 * -1630\nAnswer: 82722.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 12*m - 3483. Let r(d) = -10*d**2 - 2*d. Let o be r(2). Let l = o + m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 21\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-3)\/3*1. Suppose 0 = 5*p - 5*i, w = 4*p - 3*p + i. Sort 2, 2\/7, p in decreasing order.\nAnswer: 2, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fysypfy. Give prob of sequence yp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1 + 6\/(-2) + 3). Solve 3*y - f = -y, -3*y = c*f - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 1:45 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 5 (b) 1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2759*p + 92 - 9107*p - 118 + 26 to s + i*p and give i.\nAnswer: -11866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -t + 4 - 20, -t = -2*j + 31. Suppose 0*n - n = -5. Suppose 3*c = j, 0 = -5*b + 2*c - 5*c + n. Which is greater: -4\/7 or b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848618.\nAnswer: 2, 3, 102701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) + 1*sqrt(13))**2*-4 + ((sqrt(104)*-2 + sqrt(104))\/sqrt(8))**2).\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s**2 + 3*s - 7 - 5*s + s. Let j be q(3). Suppose x + 3*l = -9, -j - 26 = -4*x + 2*l. Solve v - 2*r = 3*v, v = r - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -59*((-12)\/(-15) + -1). Let m = n - 418\/35. Let k be -1 - (-2 - -1)\/5. Which is the third biggest value? (a) k (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10905494 is divided by 644?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 255861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 22538?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75662, 75627, 75546, 75395, 75150?\nAnswer: 74787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 30 = 0. Suppose c = -2*c + z. Let h(w) = -2*w - 5. Let d be h(-5). Put d, c, -6 in descending order.\nAnswer: d, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3709 (b) 465\/7 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -5, 494, -3 in descending order.\nAnswer: 494, 0.17, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 + (-15 - -6) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377271421 a multiple of 2240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + -222. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018370167 to five decimal places.\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 39. Let n = 55 - h. 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: Let k = -10458 + 64445. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a = 215*a + 281*a + 6165 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 2\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**34)**(-8\/7) assuming y is positive.\nAnswer: y**(544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let j(u) = 2*u**3 - u**2 + 2*u - 1. Let d be j(k). Solve -t + 3*t = -d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 351 + -347. Suppose 0*w**2 + 2\/15*w**3 + 0 - 2\/15*w**5 + 0*w**b + 0*w = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 9. Let r be u(4). Let s be ((-2)\/r)\/((-63)\/(-35)). Which is the nearest to -1\/2? (a) s (b) 3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537\/5 + 2\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -9 - 11 + 9*b**3 + 15*b**2 - 13*b**3. What is the second derivative of u(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -22. What is the remainder when 105 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 10*d**2 + 11*d - 7. What is the remainder when l(-8) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3664*q - 10991. What is z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/25)\/c)**(-34) assuming c is positive.\nAnswer: c**(816\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1774 at most -14259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, 1\/2, -6\/5, 4, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171478*i**2 - 64766?\nAnswer: 342956*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 + 6*x + 8. Let l(w) = 3*w**3 + 2*w + 3. Let j(a) = 11*l(a) - 4*p(a). Let y be j(1). What is the units digit of -1*(y + (0 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/(s*(s\/s**(-1\/8)*s*s)\/s)*s**(-1\/14)\/s*s\/s**(-4\/7) assuming s is positive.\nAnswer: s**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 30338*g - 121353. Calculate l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/332 and -52\/58515?\nAnswer: 234060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*n + 39. Let j be n - 4 - 12\/42. Let q = j + -479\/161. Calculate the common denominator of q and -24\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 11*i + 14. Let x be p(12). Let c(r) = 2*r**3 + r. List the prime factors of c(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1161 + -1158 - (3 + -50 + 2) - -8\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and -72.\nAnswer: -187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 651 - 654. Sort 3, 2, w, 32.\nAnswer: w, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 1\/(4\/76). Let s = 23 - m. Let y = 627 - 593. Calculate the remainder when y is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -1440?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:57 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1721337 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 + 3*i**3 + 68*i**2 - 1 + 5*i**4 - 58*i**2 - i to the form k*i**4 + v + f*i + j*i**3 + x*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14465?\nAnswer: 5, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.001 - -0.499. What is the second smallest value in 73, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63 + 0 + 3 + -1. Let j = 121 - g. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - -0.05. Let f(n) = 5*n - 5. Let l be f(2). Let t be 3\/l + 51\/15. Which is the second biggest value? (a) -3\/2 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, t: 1, n: 1, z: 3}. What is prob of picking 1 o and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 19*w**2 + 47*w - 9. Let j be n(-16). Let y be 11 + (-1 + j)*(-10)\/10. Solve 0 = -3*c + y*p + 2, 3*p = 5*c - p - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -2*j**7\/147 + 22*j**6\/21 - 783*j**5\/35 + 243*j**4\/7 + 1310*j. Factor b(t).\nAnswer: -4*t**2*(t - 27)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17 and -244?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9358*k + 9351*k - 3.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -2\/7 (c) 3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5064660 divided by -844110?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/44)\/(67\/((-15477)\/84))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2462, 4909, 7356, 9803?\nAnswer: 12250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297122 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6)*3*(4 + -6). Let k = -18 - -15. What is the nearest to d in -5, k, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 134?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5)*a)**(-19))**(4\/19) assuming a is positive.\nAnswer: a**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 215 + -174 - (5 + -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1.13 (c) -748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1374, 15, -2 in descending order.\nAnswer: 15, 4, -2, -1374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 651618 and 289608?\nAnswer: 2606472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.06, -4\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/3 (b) 3.073 (c) -2\/51 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/7? (a) 17 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -356*l - 1232*l**2 + 181*l + 175*l + 5*l + 6*l**2 - 5*l + (4*l + 0*l - 2*l)*(0*l + 2*l - l).\nAnswer: -1224*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/60 and 77\/159.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:22 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1524)\/(-15) + (-15)\/25. Suppose 2*b - h = -5*j, -3*b + 3*j + 56 = -2*b. What is the remainder when b is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 - 741 = 26*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23865 and 497280?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -32*c**2. Let o(k) = -238972*k. Calculate g(o(a)).\nAnswer: -1827443737088*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22379076*c - 258450682.\nAnswer: -22379076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 202*b - 1007. Let n be c(5). Factor 15\/7*a + 0 + 33\/7*a**2 + n*a**3 + 3\/7*a**4.\nAnswer: 3*a*(a + 1)**2*(a + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = 2*x - 901940 - 82920, -2*r = 4*x - 57898. Calculate the remainder when r is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-139708)\/1060 + 133 + ((-6)\/8)\/(9\/16)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1962703 and 25234?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n - 13. Calculate the remainder when 209 is divided by h(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 18*y**2 - 2*y + 29. Calculate t(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158206408 to the power of 1\/3, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*n**5 + 2*n**2 - 2*n - 72 wrt n?\nAnswer: -440*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 14. Suppose -4*x + 12 = 0, -17*m - 5*x - 40 = -22*m. Solve 2*i + c = 0, -5*c + m = -3*i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234455 + 106?\nAnswer: -234346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:34 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*k = 5343 + 4093, -5*j - 4*k = -9442. What are the prime factors of j?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18352 and -29\/96015370?\nAnswer: 768122960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 4 - 4)*(-3 + 4 + 3) + 4*n**2 - n**2 + 3*n - 4*n + 2.\nAnswer: 11*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108559 and -64062407.\nAnswer: -63953848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1) + 2 + 2. Suppose 0 = -3*q + i + 42. Suppose -5*b - 2*y - q = 0, b - 5*y - 38 = -14. Is b equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 100*j + 4. Let o(z) = 13*z - 1. Let y(u) = -d(u) + 8*o(u). Let w(i) = 5*i**2. Calculate w(y(l)).\nAnswer: 80*l**2 - 480*l + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891483499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + 557b8?\nAnswer: 557cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n**(2\/7)*n)**5\/((n**(2\/5)*n)**(-5\/4)*n**(-4)\/n*n**(-1\/4)) assuming n is positive.\nAnswer: n**(293\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*n + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c**(-1\/5))\/c)\/c*c)\/(c\/(c\/(c\/c**1)*c)))**(-2\/67) assuming c is positive.\nAnswer: c**(-18\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 129. Find the second derivative of -k + 0*k - y*k - 20*k**2 wrt k.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:51 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7145982 divided by -2?\nAnswer: 3572991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*b + b - 5 = 0, -4*b - 16 = 0. Let c be 5\/(f\/(-9)) + -3. Let z be ((-2)\/(-3))\/(2\/c). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1962.1 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + -3 + 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, p + 0*p - 41 = 4*l. Let v = p - 193\/4. Put 26, -1, 2, v in decreasing order.\nAnswer: 26, 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o, 2*f - 26 = -27*o + 22*o. Solve 0 = -f*n + 3*v, -20 = -41*v + 46*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690920 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {p: 1, x: 1, o: 1, r: 1, c: 2, f: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a + 18. Let u be t(-4). Sort -3\/4, 2, u in decreasing order.\nAnswer: 2, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -2. Suppose -5*f = -2*d + 36, f = -2*d + 8 + v. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 2*d + 1026 - d**3 - d**2 - 1029 as g*d**2 + n*d**3 + m + q*d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3*o + 4*i**3 + 69610*i**2*o - 2337 wrt o?\nAnswer: -3*i**3 + 69610*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7783891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -2?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -336440?\nAnswer: -336430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m - 5*p + 2*p, 0 = -5*m - 3*p + 47. Let i be m - 8\/4 - 1. Suppose 26 - 42 = -2*f. Solve -4*w - 5*q = -q - 4, w + f = -i*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**1*h)\/((h\/h**(-1\/4))\/h))\/((h*h\/(h**5*h*h))\/(h\/h**2)))\/((h\/(h\/(h\/h**0*h))*h)**(-26)*h**(3\/2)*h\/h**(-2)) assuming h is positive.\nAnswer: h**(313\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/114)\/(16\/36 - 0)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/4 - 2)*(-2)\/(-3). Suppose 3*j - 422 = -4*t, -1 - w = j. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3573452 * -0.2\nAnswer: 714690.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 237640 (base 8) to base 12\nAnswer: 3b428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -206a - -c?\nAnswer: -205b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 235*u**2 - 49684. Let w(j) = 6*j**2. Calculate g(w(d)).\nAnswer: 8460*d**4 - 49684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-3*8)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-40))\/(-2*4\/40). Let n(i) be the first derivative of 2\/3*i**l + 2\/5*i**5 + 0*i**2 - i**4 - 2 + 0*i. Find q, given that n(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in -1\/11, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65077984 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68427154 is divided by 1243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 12:18 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r, -5*a + 0*r + 30 = -2*r. Suppose 0*m - m + 7 = 2*c, -4*c = -4*m + a. Solve -3*u**m + u**4 - u**2 + 3*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 10*o**2 + 10*o. Let b be p(-11). Let n = b - 10. Let g(l) = l**3. Let a(w) = -8*w**3 + w - w. What is n*a(x) + 6*g(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 1866 = 2*x - 6*j, -2*x - 1876 = 2*j. Let k = -940 - x. Let h(t) = 4*t - 3. Let b be h(2). Solve 40 = -k*n + b*z, 3*n = 2*z - 16 - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 13182.9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 153.5. Let w = 8.5 - k. Which is the nearest to 0.1? (a) -0.4 (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 641268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 45. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-12 + -8 + 10 - 43)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q - 4. Give i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 894, 102, 2 in increasing order.\nAnswer: 2, 102, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/1073?\nAnswer: -3\/1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1743.05 - 1695. Let n = -48 + l. Round n to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 0.34. Let b = -3.6 + 17.2. Let h = -13.1 + b. Put -1, h, k, 0 in increasing order.\nAnswer: -1, 0, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-4))\/(2\/(-8)). What is the lowest common multiple of m\/(-6) + 3\/18 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.964273l to millilitres.\nAnswer: 7964.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237*a**4*m - 54617*a**2*m**2 - 2*a*m**2 + 178*a*m - 2470*m**2 - m - 4 wrt a.\nAnswer: 2844*a**2*m - 109234*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 3. Let q be (2 + 2\/(-3))\/((-6)\/9). Determine b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 134 = -2*b, -38*b - 5*y + 127 = -76*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 15340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 2:58 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/3666992795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-5 - (2 + -2)) - -417. Suppose -150*o = -149*o - c. List the prime factors of o.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-6) + (6\/3)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16414127 or -16414136?\nAnswer: -16414127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - ac?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 5*b**3 - b**4 + 2*b**3 + 0*b**2 + 2*b**4 + 7*b**3 to the form v*b + g*b**3 + q*b**2 + z + k*b**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1123033 (base 4) to base 14\nAnswer: -21b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -11220323?\nAnswer: -11221032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2)*v)\/v**(2\/7))**(-2\/5)\/(v\/((v\/(v**(-3\/5)*v)*v)\/v)*v*v**(-4)*v**(-2\/5)*v\/(((v**(-1\/5)*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6279)\/(-1495) - (-9)\/((-594)\/275)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 2*l + 5*f, -5*f - 64 = -3*l. Let m(p) = 16*p + 31. Let q be m(7). What is the highest common factor of q and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/24)\/((-2)\/36). Let w(l) = -2*l + 2. Let i(c) = -3*c + 2. Let x(n) = o*w(n) - 5*i(n). Differentiate x(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 97 - 50*x - 164 + 92*x - 189. Calculate a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 888*f - 918 - 311*f + 917 in the form d*f + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 521343?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 55\/3 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:42 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - (-131 + -80) - 121?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5539433.\nAnswer: 17, 325849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -513239.03 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22000 (base 3) in base 4?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 13*v. Let l be w(-13). Let a be 46\/(-10) + 2\/(-5). Put 3, a, l in decreasing order.\nAnswer: 3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4)\/(60\/(-240)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 3*j, -3*j + 4*p - 1 = -4*j. Suppose l = j*l. Suppose l*d = d - 20. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*l = 24. Solve l = z + 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h. Give d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least 155.46102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 17. Let w be n(-17). Let d be (6 - (w + 2))*1. Suppose 3*l - 2*x = 606, d*l - 785 = -2*x - 3*x. Is 40 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-30)*-30*1\/2\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 3*x + 2. Let p be q(3). Suppose -5*c + v + 356 = 0, -c - 4*v - 288 = -5*c. Let g = -69 + c. Solve -p = -n + g*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 2*p - 2. Suppose 1 = 2*l + r, 4*l + 5*r = 6 + 5. Let t be z(l). Solve -t*b + 20 = 2*b, 0 = 2*a + 4*b - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxttjsthstx. Give prob of sequence tj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 853997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 489671511\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 - 262*p**3\/7 - 596*p**2\/7 + 2712*p\/7 - 720\/7 = 0. What is p?\nAnswer: -15, -6, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1834, -0.66 in increasing order.\nAnswer: -1834, -0.66, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 + 3 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134809830, 134809831, 134809832, 134809833, 134809834?\nAnswer: 134809835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnq when four letters picked without replacement from {n: 1, e: 5, q: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 266\/(-152) - (-63)\/(-12). Sort 0.1, -4, k, 3\/2 in ascending order.\nAnswer: k, -4, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. Suppose d + 2 = -0. Let f be 1 - (-2 - d - 7). Solve p*l - 4*k + f = 0, 4 = -4*l - 0*k + 3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13231 (base 6) to base 16.\nAnswer: 7f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, 35, 99, 163, 227?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 3*y - 3277 + y + y.\nAnswer: -y - 3277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2477*x - 14860. Give n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**4 + g - 4. Let b(v) = 9*v**4 + 28*v**3 + 165*v**2 + 12*v - 90. Let i(k) = -b(k) + 5*w(k). What is the second derivative of i(x) wrt x?\nAnswer: 12*x**2 - 168*x - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 6, 2, -140.\nAnswer: -140, -4, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143.1 - -147. Let m = r + -23.9. Put 0.4, -0.5, 3\/4, m in decreasing order.\nAnswer: 3\/4, 0.4, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/92, -5, -658.98 in increasing order.\nAnswer: -658.98, -5, 11\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-6 - (-14 + (2424\/48 - 20)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 5. Let p be t(4). Let j be (55 + -1)*p\/(2\/3). Let a be j\/(-10) + -4 + -4. What is the third biggest value in 0.5, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 20*f - 4*m = 15*f + 50, m + 2 = -3 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1*-7*104\/(-455).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10494 - -10493. Which is the closest to u? (a) -2.7 (b) 1\/8 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Let h be m*(-98)\/(-10)*2. Suppose -65 = -4*u - 9. Calculate the highest common factor of h and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/7)*n)\/n)**(2\/47))**(9\/10) assuming n is positive.\nAnswer: n**(-27\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1)*(-100)\/(-90)*(-165)\/(-22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384992 - 81243. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 79894, -219?\nAnswer: 79894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6*(-105)\/14 - -33 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5069*n + 1179*n - 578*n to k + j*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.38 + -3.576. Round o to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/3 and -85\/1014?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -287.1 + -53727813\nAnswer: -53728100.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -6 + 9 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 44 - 336. Let m(y) = y**2 - y. Let x be m(2). Suppose 0 = -x*j + n + 17. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220110222221 (base 3) to base 15.\nAnswer: 97b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179429 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 2.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-19 - (12 + -26)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4 - 2*b + 6*b - 2*b**2 - 3*b**2. Suppose 5*v + 3 = -2. Let j(l) = -l**2 + l - 1. Give v*s(k) + 4*j(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 3*g**3 - g**3 + 0 to the form c*g + f*g**2 + n + b*g**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*l + y, -5*l + 2*y + 26 = -3*l. Let n = 27 - l. Suppose 3*v - n = 14. Solve 4 = i + 5*s, 4*s - v = -i + 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**3 - 45*u**2 - 10*u - 7. Let h be r(4). Let b(x) = -x**2 - x + 1. Let y(p) = -12*p**3 - 18*p**2 - 18*p + 18. Calculate h*y(t) - 18*b(t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*l - 2*l. Solve -y - y = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*m + 90 = 235*m. Let p be (-40)\/6*m\/60. Let a(w) = 4 + w + 0*w**2 + w**2 - 7*w. What is a(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - 47*c**2 + 17*c + 26. Calculate m(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-3*1) - -2. Let b be (-5)\/(-14)*d - 2. Are b and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w. Solve w = -2*n + d + 1, -3*n - n + 7 = -d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -406 - 29*p + 4*p + 65 + 93 + 36. Give c(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 0*a**3 + 0*a**3 + (0*a**3 - 2*a**3 + a**3)*(1 - 1 - 3*a**2) + (-11*a**3 + 131*a - 131*a)*(-337*a + 337*a - 29*a**2).\nAnswer: 320*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -13*o - 252. What is d(-21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 2*h + 5 - 2 - 2*h. Suppose -23*p + 61 = -54. Let d be a(p). Solve -23 + d = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -28, -44, -60?\n\"Answer: -16*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + 11?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 0*l**2 + 3*l**2)*(2*l + l - 4*l) + 18*l**3 - 6*l**3 - 36*l**3.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/2)\/(-25))\/((68\/(-25))\/(-17))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(12) - (sqrt(12) + 1)*5)**2*2.\nAnswer: 160*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(874\/69))\/((-3)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 1127*h**5\/60 + 374*h**3\/3 + 16*h**2 + 46. Differentiate q(d) wrt d.\nAnswer: 2254*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 689 - 691 - 144*t - 4*t**4 - 7*t**4 + 4*t**4 - 2*t**3 to x*t**3 + g*t + h*t**2 + c + r*t**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 13539 - 13683 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 12. Let a be (-6)\/(-9) - (-26)\/o. Let t = 0.01 + 0.29. What is the smallest value in t, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1436 and -73\/7180?\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8824 + 1a7?\nAnswer: 8a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2\/3 (b) 6\/7 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3. Let x(z) = z + 1. Let s(r) = p(r) + 5*x(r). Let i(a) = -16*a - 7. Calculate -2*i(o) - 7*s(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -2127*h**6\/10 + 1157*h**4\/2 - 6855*h. Find the third derivative of t(i) wrt i.\nAnswer: -153144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhzclchcc. Give prob of sequence hl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3094)\/(-367302))\/(63\/54).\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/4 + 2*p**3 - 14*p**2. Does 8 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 2*g - 160. Let k(c) = 3*c**2. Calculate z(k(l)).\nAnswer: 18*l**4 - 6*l**2 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 198\/523627?\nAnswer: 198\/523627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19)*-4 - sqrt(19)) - (3*sqrt(190))\/sqrt(10))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)\/(g\/g**(-3)*g*g) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + 16 - 12 - 19) + 29.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -179, -178, -175, -170, -163, -154?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a + 2. Let f be w(-3). Suppose 0 = m + 2*l - 35, -3*l - 193 + 83 = -5*m. Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + 404. Suppose 0*v + 4*f - 751 = -3*v, 2*v = -2*f + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50906756 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15\/((-225)\/15)*(0 + -132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1394*y**3 - 1391*y**3 - 2*y + 0*y**4 + 5*y**4 - 18*y**2 to u + x*y**2 + j*y + w*y**3 + m*y**4 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103806 is divided by 48208.\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 0*p - 3*p)*(0 - p**2 + 0) - 11*p**3 + 7*p**2 - 7*p**2.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 minus -915873.53661?\nAnswer: 915873.76661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 29*b**4\/12 - 31*b**2. Let m(y) = -2*y. Determine m(s(c)).\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tmtmxttmmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16996 take away 1078.139?\nAnswer: -18074.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r + 3 + (-3 + 1 + 0)*(-2 + 2*r + 2))*(-1 - 23 - 1).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473080063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*t + 65*t + 4291 = 0. Calculate the remainder when t is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.6 - 4.4. Let v = t - -19. Let r = -9.9984 - v. Round r to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 4*s - 2*c, -23 = -s - 3*c. Let p(j) = 19*j - 134. Is p(s) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -15 - (1 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + 0*g)*(2*g**2 + 3*g**2 - 6*g**2).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 77 times 257\nAnswer: 19789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w**(-6\/7)\/w)\/w*w)\/w)\/w*w)\/((w\/(w\/(w\/w**16)))\/w)*(w**(1\/12))**0 assuming w is positive.\nAnswer: w**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 2754747. Let r(x) = -x**2. Determine q(r(f)).\nAnswer: 5*f**4 + 2754747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*o + 6*o. Let y = 6 + o. Solve 0 = 2*s - 3*f + y, 0 = s - 3*s + 4*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 3 + 8*f)*(-f**3 - 2*f**3 + 0*f**3)*(1 + 1 + 1 + 2*f).\nAnswer: -48*f**5 - 60*f**4 + 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + j**5 + 0*j**5 + (-11 + 5 + 1)*(3*j**5 + 0*j**5 - 2*j**5)*(5 + 6 + 4).\nAnswer: -74*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-28)*21\/(-9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/46956 and -101\/112.\nAnswer: 187824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2185*d + 847590. What is b(388)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -746 - -732. Let d(j) = -j**3 - 14*j**2 - 4*j - 45. Calculate the remainder when 181 is divided by d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 31. Suppose o = -5*m, -4*m - l*o - 16 - 5 = 0. Solve v - 2*r = 4*v - 5, 0 = -2*v + r + m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201.1 - -201.3. What is the second biggest value in 10.4, o, -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4340\/(-30))\/(4\/(-6)). Let p = 217 - u. Let c be 2\/(-3 - -2)*-1. Solve p = -4*a + c*y - 8, 7 = 3*a + 5*y - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7677.9980943 + 7678. Round k to 5 decimal places.\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - (-2 - -2))) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*5\/30)\/((-63)\/18)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let t(w) = -176991*w. What is t(i(m))?\nAnswer: -353982*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 6*g**2 + 53*g**2 - 7*g**2 - 6*g**2 - 28 - 34*g**2.\nAnswer: 10*g**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5\/6 (b) -34\/11 (c) -0.0152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00458732 rounded to six dps?\nAnswer: -0.004587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/3 + 123284*x - 369846 = 0. Calculate x.\nAnswer: 3, 184923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/5 - 2\/(-5). What is the greatest common factor of 36 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + s. Let b(v) = 5*v**3 + 47*v**2 + 74*v + 35. Let f(l) = a(l) + b(l). Determine h, given that f(h) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 6035\/3019)\/1. Let l = f + -365269\/30190. Let v = 1\/8295 + -131799\/5530. What is the common denominator of l and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/5 (b) 4\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/(((-16)\/(-3))\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, m: 7}. What is prob of sequence mt?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1549, 0.3.\nAnswer: -3\/7, 0.3, 1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154637\/332 - 1863\/4. Which is the third smallest value? (a) -0.2 (b) 1 (c) 3\/5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - 1) + (-5 - (0 - 16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 3*w + 4. Let r be z(-4). Suppose -5*j + 37 = 4*o - r*j, 0 = -4*o - 4*j + 40. Suppose 5*x = 2 + o. Solve -x*f + 9 = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + -1)*(-22)\/(-55). Suppose m*v - 93 - 23 = 0. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62336*q**4 - 105*q**3 - 7125*q**2 - 81*q - 1?\nAnswer: -1496064*q - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 43 = 17. What is the highest common divisor of 44 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283929, -567859, -851787, -1135713, -1419637?\nAnswer: -1703559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*t = t + 6, 3*t + 18 = 4*b. Is b less than or equal to 2\/40833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:36 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578205 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 60*l**2 - 2013*l + 112. Give g(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1128*c**2 - 1849*c**2 + 156 - 324*c**2 + 2229 wrt c.\nAnswer: -6602*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15905 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + b + 4*b - 38, 0 = 5*z + 5*b + 10. Let w be z\/9 + 51\/9. Let a = -2 + w. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -6*(0 - -1) - (-174012)\/853 and 704?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + o + 2, 0 = 2*p - 5*o + 6*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 593, 961, 1361, 1799, 2281, 2813?\nAnswer: 3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 - 8)) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124.03 - -19.07. What is n rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 + 3586*n\/5 + 226188\/5.\nAnswer: -2*(n - 1854)*(n + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 7*o**2 - 7*o - 4. Suppose -d - 27 = 3*b + 1, 2*b - 8 = d. Let f be 5*(2 + d\/5). Let s be q(f). Solve -5 = -s*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 15*u**2 - 12*u - 49. Let j be p(-14). Suppose 0 = -6*m + m + 405. Let b = m + j. Solve -4*k + 5 = b*c - 3*c, 0 = 5*c - 5*k + 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 + 205. Which is smaller: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 112*m + 4163. Let a be j(-37). Solve a*c + 126 = 107 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4376 - 2489. What are the prime factors of h?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:59 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*w = 3*p + 8, -3*p + 2*w = 22. Calculate the remainder when (100\/p)\/(68\/24 + -3) is divided by (0 + 3 + -1)*17.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**8\/336 + h**4\/4 + 2*h**2 + 12. Let c(z) be the second derivative of k(z). What is the second derivative of c(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -5.5 (c) -3 (d) 1 (e) 3\/25 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -6\/11 (b) 1 (c) 2 (d) -298 (e) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 16720*u**2\/3 - 6616043*u.\nAnswer: u*(u - 1113)*(u + 17833)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.45 + 0.55. Let n = -0.7 + 0.5. Which is the nearest to 2? (a) g (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720\/(-315) - (-5)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - 2223233?\nAnswer: -2230301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {l: 3, f: 2, c: 1, d: 2, h: 3, q: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 624, 1201, 2104, 3441?\nAnswer: 5320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/7 - 198*f**3\/7 + 54408*f**2\/7 - 108218*f\/7 + 54009\/7 = 0.\nAnswer: -353, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0215733 to 4 dps.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -661.51 + -10.261.\nAnswer: -671.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m = 5*k - 94*m - 7, 0 = 8*k + 3*m - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 87, 98, 113, 132, 155?\n\"Answer: 2*b**2 + b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 14*z**2 + 32*z + 22. What is i(-16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s = -58*s + 57. Solve -j - 5*b + 1 = 0, -3*j - s*b = 4 - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 870 and 60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Suppose -2*j - x*z = 0, -3*j + z + 0*z - 4 = 0. Which is smaller: j or 3\/14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -961, -130, 715, 1580, 2471, 3394, 4355?\n\"Answer: n**3 + n**2 + 821*n - 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**3 + 1. Let j = 99 + -98. Calculate q(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(110)*-2)\/sqrt(10) - sqrt(891)*-1)**2 - (-2 + sqrt(11) + -5 + 5 + sqrt(11) + -1).\nAnswer: -2*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8424 - 8398. Solve -t*j = -9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 407, 747, 1227, 1847?\n\"Answer: 70*j**2 + 130*j + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228588*a**6 + 2*a**5 + 3*a**2 - 3*a - 25400?\nAnswer: -27430560*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**33\/((g\/g**(1\/2))\/g**(-6)))\/((g*g\/g**(-1))**2\/(g**(-2\/7)*g)**(-25\/2)) assuming g is positive.\nAnswer: g**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7205 + 51.\nAnswer: 50.2795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*r - 40, -2*b + b = -r + 20. Let i = -22 + r. Let j = 219 - i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004004 to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 19*s - 12. Let j be z(9). Let u be (5\/j)\/((-25)\/540). Solve u*w - 31*w = 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*r + 40*r - 63. Does 84\/13 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 119, 273, 487, 761, 1095?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f - f. Suppose 17 = 2*v - 2*h - 1, -3*v + 22 = -f*h. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 0. Suppose 6 = 3*p - y. Suppose 0 = 3*f - p*f - 5. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -6*l + 0 - 7\/6*l**3 + 1\/12*l**4 + 0*l**2. Calculate y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g)**(-1\/65) assuming g is positive.\nAnswer: g**(-2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -2*j**5\/5 - j**4\/3 + 3*j**2 - j. Let h = 21 + -16. Let p(a) = -7*a**3 - 3*a**2 + 5. What is h*y(l) - 6*p(l)?\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbm when three letters picked without replacement from nbgbfbbbmsfmbfbmsf?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kna when three letters picked without replacement from {w: 2, d: 4, n: 5, a: 1, k: 2}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -78, -118, -158, -198?\n\"Answer: -40*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 16}. What is prob of sequence ah?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372363 is divided by 218.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 7*j**2 - 10*j. Let p be n(8). Let g(v) = v**2 + 15*v - 13. Let o be g(p). Let k(t) = t**2 - 2*t - 1. Calculate k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n - 35. Suppose -4*u + 7*d + 32 = 4*d, 0 = -4*u - 2*d + n. Suppose -5*v = 5*p - 210, u*v = -0*v - 5. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 2*c**2 - 3*c - 5. Let b(f) = 2*f**3 - f**2 + 2*f + 3. What is -5*b(x) - 3*h(x)?\nAnswer: -x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 91 = -4*j. Let q = 8 - 5. What is the greatest common factor of j and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + s = 42, 218 = -5*i - 11*s + 12*s. Let o be i - -52 - (-5 + 1). Solve 4*y + 16 = -2*c, 2*c + o = -c - 2*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 936 divide 999498240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 4:37 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmnmn. Give prob of sequence mmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1237 (base 8) to base 9.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*o + 2 + (-4*o + 5*o - 2*o)*(-1 + 1 + 2) - 3*o - 8 + 8.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25820 (b) -93 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135531?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.134194 millilitres to litres.\nAnswer: 0.000134194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + w, -5*w + 0*w - 26 = -3*g. Solve g*z + 5 = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 115047.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*x**2 + 667*x**2 + 1623*x**2 + 687*x**2 + 585*x**2 - 333*x**2.\nAnswer: 2940*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.283*0.42.\nAnswer: 0.11886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5)\/((j*j**(-1)\/j)\/j))\/(j**(1\/3)\/(j**(3\/5)\/j)) assuming j is positive.\nAnswer: j**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-44\/3) assuming m is positive.\nAnswer: m**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 61*s**2 - s - 61. Let k be y(-61). Let i = 12\/103 + -334\/4635. Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 26. Let y be n(-19). Let w = -7 + y. Let b(g) = -g**3 + g**2 - g - 1. Let r be b(w). Is r > -1\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 150.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1749a20 (base 13) to base 5.\nAnswer: -3413432333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 0.1 (b) 9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -60, -17 in increasing order.\nAnswer: -60, -17, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 13*p - 37. Let j be c(-7). Let s be (-3)\/(-1)*4\/(-16)*-4. Suppose s*f + 3*v = 2*v - 3, -v = -5*f + 3. Sort j, 2, f, 3 in decreasing order.\nAnswer: j, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1765*r + 23769 = -38006 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31491142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103721311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2622619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i - 1. Let n(a) = 11*a**2 + 6*a - 6. Let b(m) = -n(m) + 6*p(m). Let r(s) = s**2 - 2*s - 2*s**2 + 2*s. Determine b(r(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2 + 2 + n. Let b(g) = 4*g - 6. Let u be b(2). Let m(z) = -2*z**2 + 2*z**2 - 2*z**2 - 17*z**u. Determine c(m(y)).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -3, 21, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 - 1561674*z = 0. Calculate z.\nAnswer: -3123348, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -66, -358, -936, -1896, -3334, -5346?\nAnswer: -8028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 - (-4 + 10)\/(-3). Which is smaller: a or 1\/1376?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 9*x**2 + 50 + 3*x**2.\nAnswer: -6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2 - x**3 - x**3 + x**3 - 2*x + 5 + 3*x. Let w = -86 - -86. Let c be w + (-2 - 1) + -5. Give b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(96) - sqrt(96))\/sqrt(8))\/(sqrt(100)*4) + (-1*sqrt(108))\/sqrt(9)*5)*-5)**2.\nAnswer: 30603\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-3 + 0 - (1 - 5))*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2561 take away 4?\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 7*x**2 - 4*x - 5. Suppose -2*y + 52 = -0*y - 4*m, 106 = 5*y + 2*m. Let k = y - 18. What is the tens digit of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 - 10*u + 4. Let k be q(5). What is the smallest common multiple of -6 + 53 - (0 + -3) and ((-1376)\/215)\/(k\/(-10))?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 107\/4, 2, -49, -1\/3, -3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415 = 331*s - 248*s - 502 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2894 - -2871. What is the third smallest value in -0.06, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-96)\/72*(-1 - -7). Is j < 87\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 608*o**5*s + 81*o**4*s + 329*o**2*s - 8*o**2 - s wrt o?\nAnswer: 36480*o**2*s + 1944*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -229. Let g = t - 78. Let x = g + -37. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 14*i - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d + 64*d + 45*d in the form b + j*d and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1223 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f - 1. Let y(u) = -158*u**2 - 18*u + 40. Let q(w) = -10*o(w) - y(w). Find the second derivative of q(v) wrt v.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let g(d) = 2 - d**2 + 5*d + 0*d**2 - s. Does 4 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -47*i. Let b(d) = 344*d**2. Give b(g(u)).\nAnswer: 759896*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 7. Let x be a(-9). Suppose 0 = -x*q + 22*q - 690. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 6\/4*(-6)\/3. Suppose -5*t - 4*c + 51 = 0, -t - 4 - f = -3*c. Solve -3*j = -1 + t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**19\/a*a*a)\/a*a\/((a\/((a\/(a**(10\/7)*a))\/a)*a)\/a) assuming a is positive.\nAnswer: a**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.06 - 0.06. Let p = 13 - q. Let w = p + 10.9999996. What is w rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12097, 48334, 108709, 193204, 301801, 434482, 591229?\nAnswer: 772024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + (-2)\/(-4). Suppose -4*y + 13 = -d. Let q = -2853 - -2861. Solve x + 12 = 3*x - y*b, -q = -x + 4*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 132187135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -5 + sqrt(6)\/sqrt(3) + 2.\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 68 in ascending order.\nAnswer: 0.4, 0.5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 20. Suppose -40*r = -14*r - 624. Let k be 4\/(-14) + r\/84. Solve 0 = -k*a + q*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 2 - 2 + (5 + 2*w - 5)*(0 + 3 - 4) - 2*w + 4*w - w + (-1 - 3 + 2)*(w - 3*w + 4*w) + 2*w + 3*w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1208 + -533. What is the highest common divisor of 50 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*x + 8 = 0, 12 = -5*x - 8. Let f(j) = j - 5. Let t be f(i). Suppose t*a = a + 26. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511.591393 rounded to zero decimal places?\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 f when four letters picked without replacement from {x: 3, f: 3, z: 1, i: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7\/2 (b) -2 (c) 4 (d) 0.02 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 + 88. Let r be (2\/(-6))\/(6\/c). Suppose -o = r*b - 2 + 17, -2*o - 3*b = 9. Solve o = 2*w - 2, 0 = -2*x - 3*w + 8*w - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1232 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19293*s + 76905. Calculate k(-4).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 7. Suppose -5*f - l = 5*n - 2, -8 = -3*n + 4*f. Suppose 4*t + 3*i - 12 = 0, 5*t - 4*i - 15 + 0 = n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let y(z) = -z**3 + 2*z**2 + 3*z + 4. Let g be y(3). Let p(o) = 8*o**2 - g*o**2 + 4*o**2 + 1 - 24*o**2. Give p(t(h)).\nAnswer: -16*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1015.6466 to the nearest 10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/6 + (-60)\/90. Suppose x - 2*j = -10812 - 5778, 4*x + v*j = -66425. What is x rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62654482?\nAnswer: 2, 11, 2847931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77916976.\nAnswer: 2, 47, 103613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 541491\/19 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.009 + -0.0358. Let o = b + 2.0448. Do o and 52 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 * 9.93\nAnswer: -0.26811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.46 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 40 - f + 21 - 314*f**2.\nAnswer: -314*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Let g(y) = -y**2 + y**3 + 2*y - 2*y**3 + 0*y. Let j be g(-2). Which is the third smallest value? (a) n (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 4*u**2 + 426 - 5*u**2 - u - 112 + 353 in the form d*u + v*u**2 + g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 - 10 = 0. Find the second derivative of 16*w**r + 10*w**4 + 25*w + 2 - 2*w**2 + w wrt w.\nAnswer: 312*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 16 = -a. Let q = a + 7. What is the third derivative of 0*k**3 - 4*k**3 + q*k**2 + 4*k**3 - k**3 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674453?\nAnswer: 2674453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-21)\/6. Suppose -3*l + 9 = -3*s, -3*s + l + 26 = 5*l. Suppose s*b - m + 0*m - 153 = 0, -n*b - 4*m = -336. List the prime factors of b.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49668 or -49651?\nAnswer: -49651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 18, -5, -1.\nAnswer: -10, -5, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 32 = 3*y + 2*y, 2*h + 30 = -y. Let t = h + 59. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 + -0.02. Let n = 0.307 - 1.307. Sort w, -2\/13, n.\nAnswer: n, w, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 710\/24*(-27)\/(-2). Let a be -4 + (2 - (-45166)\/112). Let l = j - a. Calculate the common denominator of -93\/20 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 0*d**3 + 0*d**3 + 3*d**3 - 47*d.\nAnswer: 2*d**3 - 47*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41995753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 299874 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 43 - 31. Factor -8*j**4 + 30*j**2 + 3*j**4 + 40*j - 22*j**a + 7*j**3.\nAnswer: -5*j*(j - 2)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2891\/14 + 4\/8. Suppose -19*c = -28*c + d. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -13*k**7\/210 - k**3\/3 - 8*k**2. What is the derivative of c(q) wrt q?\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162951.8940246 - -162952. Let n = k + -0.106. Round n to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6869 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14)*120\/(-75)*10)\/(1\/13)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. Let c = -8935209 + 8935205.9999995. Let u = j - c. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:20 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*i + 2702 = -172*i. Let r = -204 + i. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -6.13. Which is the fourth biggest value? (a) 0.2 (b) s (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5316 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6921716.\nAnswer: 2, 1730429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -8*k - 47. Is 0.3 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 - 7*q + 13. Let l be u(5). Let g = 10 - 16. Let t = g + l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/18836?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*m - 655 = 79, k + 5*m - 379 = 0. Calculate the greatest common factor of 273 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9*v - 19 = -4*v, 3*u + 2*v + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -419, -4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10090.\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x + 2. Let s be k(2). Suppose 2 = 3*l + l + 5*j, 4*j = 5*l + s. Let w = 3 - l. Sort 3, w, 1.\nAnswer: 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -18. Let w = j - 6. Do w and -1\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 752\/5 + -703\/5. Calculate the common denominator of k and 31\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 28*k + 80. Let w be z(25). Suppose 0 = -5*b + 3*m + 424 + 2746, 0 = w*b + 4*m - 3170. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59600009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 370 - 317. Solve 7*q + u = 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1652758, -2, 1 in descending order.\nAnswer: 1, -2, -1652758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 2*v, -5*c + 2*v + 1 = -15. Let f = -2 + c. What is the greatest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*j. Suppose j*u = -x - u, -3*x - u + 8 = 0. Solve 2 = w - x*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 * -0.148\nAnswer: 0.002812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1025586 + 23*l - 9*l**3 - l**4 + 1025589 + 9*l**5 - 29*l + 88*l wrt l.\nAnswer: 180*l**3 - 12*l**2 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320 - 316. Suppose -6*s + 20 = -s. Suppose s*n + q*i + i = 26, -i = n - 6. Solve -k - n = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 4*k**3 - 5*k + k**3 - 2*k**3.\nAnswer: 3*k**3 - 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (4 - -3 - 1). Suppose -o*c + 0*c + 15 = 0, -3*u + 24 = -c. Let g(x) = -7*x - 116. Calculate the remainder when g(-19) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*v - 4*v + p, v = 3*p + 27. Calculate the least common multiple of v and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*w = -6 - 4, -1 = -p + 2*w. Solve 4 = -2*l + 3*a, a + 7 - 4 = p*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 18864*c**2 + 4*c + 0*c + 0*c - 4*c.\nAnswer: 18864*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174.557547 + -174.57. Let r = -0.0775472 + q. Let o = 0.09 + r. Round o to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 769*j**2 - 991*j + 7478. Calculate n(-255).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182*t*w**2 - 13519731*t - 140027*w**2 + w with respect to w.\nAnswer: -364*t*w - 280054*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23924 = 47*n + 24629 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**3 + 3*g**2 - 3*g**2 + 0*g**2 + 199*g**3.\nAnswer: 144*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-7 - -25) + -9 + 5577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -200. Let b(n) = -7*n + 62. Let g be b(14). Let x = s + g. What is the remainder when 98 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-18)*a)\/a**5)**(1\/32) assuming a is positive.\nAnswer: a**(-11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, f: 1, l: 2, a: 6}. What is prob of picking 1 k and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhoo when four letters picked without replacement from {b: 3, h: 1, e: 3, o: 5, l: 1, w: 1}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24731472 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420 + -35204?\nAnswer: -34344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 3. Let c(r) = -r**3 + r**2 - 6*r + 5. Let l be c(s). Let g be (-35)\/140*(-140 - 8). Calculate the highest common factor of g and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/38, 0.1, 1\/7, 0.4 in increasing order.\nAnswer: 3\/38, 0.1, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*q - 1653 = -172*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**4 - 68481*v*x + 12947*x - 9 wrt v.\nAnswer: 8*v**3 - 68481*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4, -269, -1, 3, 30 in descending order.\nAnswer: 30, 4, 3, 0, -1, -2, -269","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 4.04. Let j = -4384 + 4387. Which is the smallest value? (a) j (b) 0 (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*p + 3)*(-1 + 0 - 1 + (1 - 1 - 1)*(-1 - 2 + 4) + 2 + 3 - 4) as a*p + v and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28602, 58094, 87586, 117078?\nAnswer: 146570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*-1 + 46 + 2358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 66.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -b + 16, 4*b - 22 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*j**3 - 2787*j**2 + 1160776*j wrt j?\nAnswer: -366*j - 5574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -139, 1, 3, 212 in ascending order.\nAnswer: -139, 1, 3, 5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 - 141. Let i = 30 - j. Let k(q) = q**2 - 17*q + 8. What is k(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -97*c + 109*c + 8*c**2 - 2 - 34 - c**3. Let k be h(8). Calculate the highest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3187? (a) 1.4 (b) 3\/7 (c) -2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 + 1418.973048?\nAnswer: 1419.183048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.6639*-0.2\nAnswer: -0.13278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u - 1\/175*u**7 - 2*u**2 + 1\/20*u**4 + 0 - 1\/840*u**8 + 1\/75*u**5 - 1\/150*u**6 + 1\/15*u**3. Let d(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-2*(3*(sqrt(99) + -1 + sqrt(99)))**2 + 0).\nAnswer: -216*sqrt(11) + 7146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:57 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 15. Let q = s + -2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c = -948 - 1032 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3865\/3092)\/(110\/24).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*x + 1205 = 0, -86 = 3*l + 4*x + 816. Let i = l + 459. Let m = i - 109. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 12:24 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n. Let u(y) = y**2 - 7*y + 4. Let g(x) = x**2 - 6*x + 4. Let z(f) = -7*g(f) + 6*u(f). Let r(d) be the first derivative of z(d). Calculate r(t(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let q(w) = -w**3 - 6*w**2 - 5*w + 2. Let x be q(-5). Let p(j) = 3*j**2 - 99*j - 100. Let n be p(34). Solve o = -n*z + x - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*a*x**2 + 10*a*x - 14170*a + 4*x**2 wrt x.\nAnswer: -172*a*x + 10*a + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212 (base 3) to base 10.\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 2, l: 1, j: 1, k: 1}. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (74 - 63) + -1 + -77 - (0 + -4)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/(-14))\/((-3)\/6). Solve 2*b - 2*w = -10, b - d*w - 6 + 19 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, 3, -0.06 in ascending order.\nAnswer: -0.4, -0.06, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 + 8*m - 2. Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*q - 62 = -2102 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470016 is divided by 20431?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-96)\/54)\/4 - (-12950)\/18. Let i = f - -483. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4077*k**2 + 4077*k**2 - 5*k**3 + 3*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 3 + 18\/120 and (-125)\/6 + 4\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13780 divided by -2\nAnswer: 6890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9491661 and 9180?\nAnswer: 189833220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.6 and 4.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 + 8*b**3\/9 - 7*b**2\/6 + 2*b\/3 - 4. What is j in q(j) = 0?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:48 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16609.\nAnswer: 17, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 36*a**2 - 35*a.\nAnswer: -a*(a - 35)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1008 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 5*t**2 - 15*t - 16. Give m(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12 + (-57280)\/(-1920)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -9 (c) -38\/11 (d) 11 (e) 1 (f) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103450475 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.365568 years in millennia?\nAnswer: 0.009365568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -3) + 3\/(-3). Suppose -8 - 4 = z*b. Let i = 0.3 + 0.1. Put -1, b, i in decreasing order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/60 + s**4\/24 + 3*s**2. Let p be o(0). Let x = p - -3. Which is greater: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(539) + -3 + (-2*(((sqrt(484) - (sqrt(484) + 1*sqrt(484))) + sqrt(484) + sqrt(484))\/sqrt(11))\/sqrt(4))**2.\nAnswer: 7*sqrt(11) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.4 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.23 - 2.3. Let k = n - 4.93. Let l = -0.2 + 0.4. Sort k, 1\/3, l.\nAnswer: k, l, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1169, 1186, 1219, 1268, 1333, 1414?\n\"Answer: 8*k**2 - 7*k + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.9 + 13. Let d = -0.6 - f. Let o = 1 + d. What is the smallest value in o, -3\/7, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1072, 8570, 28922, 68554, 133892?\n\"Answer: 1071*s**3 + s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33725 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1315, 2\/5, 1\/8, -1 in descending order.\nAnswer: 1315, 2\/5, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1365 (base 9) to base 12\nAnswer: 71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = -f + 2*z, 3*z - 6 = -5*f. Differentiate -7 + 3 + f*a**3 + 2*a**3 + a**3 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:57 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1163036*d - 432. Let f be u(-12). Round f to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -483*u**2\/2 + 14*u - 310. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 1. Let w(g) = g**2 + 2*g - 9. Let c be w(2). Let s(o) = -6*o - 5. Suppose -x - 4 = 1. What is c*s(t) + x*y(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3849*r. Let v(z) = -306*z**2. What is f(v(q))?\nAnswer: 1177794*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 - 7*a**2 + 4*a - 7. Let l(m) = -4*m**3 - 6*m**2 + 3*m - 8. Give -4*l(w) + 3*x(w).\nAnswer: w**3 + 3*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(i - 2*i + 3*i)*(2262*i**3 + 4*i**2 - 2185*i**3 - 6*i**2).\nAnswer: 154*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 - 2*h + 3. Let j(m) = -11*m**2 - 4*m + 5. Determine -3*j(p) + 5*n(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 224, 1968, 6824, 16382, 32232, 55964, 89168, 133434?\n\"Answer: 265*j**3 - 34*j**2 - 9*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -9*z + 6534. Let t be ((-112)\/(-10))\/(1\/80). Let h = t - z. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319\/6 + 671\/12. Is v at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3994*z**2 - z + 385*z**2 - 897*z**2 + 19*z**2 + 3561*z**2 in the form x*z**2 + r*z + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -25*b**7\/21 + 41*b**6\/7 + 221*b**5\/35 - 202*b**4\/21 - 8*b**3\/7 + 32*b**2\/7 - 106*b + 3. Determine q so that z(q) = 0.\nAnswer: -1, -2\/7, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 97, -0.09, 23?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 195764*d**2 + 1566055*d + 1370292 = 0.\nAnswer: -195756, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i**2 - i + 6. Let p(v) = 44 - 22 + 29*v**2 - 35 + 2*v. Let c(k) = 6*p(k) + 13*x(k). Give c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 2*n, -8*n + 3*n + 5*l + 15 = 0. Let q(d) be the first derivative of 4\/15*d**3 + n*d - 7 + 2\/5*d**2. Factor q(m).\nAnswer: 4*m*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/3))\/x*x*x**4*x*x**(2\/23)*x**(2\/9)\/x assuming x is positive.\nAnswer: x**(1237\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 7, t: 5, w: 2, a: 1, i: 1, p: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531372021?\nAnswer: 37, 389, 106397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -146, -437, -1000, -1925, -3302, -5221?\n\"Answer: -15*t**3 - t**2 - t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 - 7)*(-2*b - b + 0*b).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6*-5)\/(22\/66).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3313)\/241849)\/((3\/18*-1)\/(-1))\nAnswer: -6\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*i + 187, -8*o + 12*o = i + 137. Suppose 0 = -o*j + 39*j - 748. What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 + 37 = 51*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/2 - 35*i**3\/2 - 231*i**2\/2 - 405*i\/2.\nAnswer: -i*(i + 3)*(i + 5)*(i + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -79*b**5\/6 + 86*b**4\/3 - 14*b**3\/3 = 0. What is b?\nAnswer: 0, 14\/79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/16 - 6\/8. Let q(p) = -2 + p - 3 + 0 - o. Let g be q(9). Solve -j - 23 = 5*i, g*i - 21 = 2*j + 8*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6686.7 to the nearest one hundred.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-1\/2)*a*a\/((a\/(a**(-14)*a))\/a)*a*a**(2\/7))**(-4\/3) assuming a is positive.\nAnswer: a**(286\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 7*q + 12. Let j be h(-5). Find w, given that 3*w**5 + 25*w**4 - 28*w**4 - 3*w**3 + 3*w**j + 0*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7203057.\nAnswer: 3, 2401019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iao when three letters picked without replacement from {r: 1, a: 2, o: 2, v: 1, i: 4, g: 5}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - 3649?\nAnswer: -3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 3419 - 6715 + 3*w + 3373.\nAnswer: 3*w + 77","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and 81\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f - 88. Let m(n) = 5*n - 40. Let d(h) = 13*m(h) - 6*v(h). Let x(t) = 4*t - 4. Let c be x(3). What is d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -e1cc1?\nAnswer: -e1cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37.6*255.7\nAnswer: -9614.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -3*j + 4*t + 1289 - 1242, -4*t = 2*j + 62 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3732 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022.1267 rounded to zero dps?\nAnswer: -4022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = 3*w, 0 = -3*k - 2*k - 2*w + 7. Let a(r) = r**3 - r**2 - r. Let v be a(2). What is the derivative of -1 + v*l**2 + 4 - k wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 21, 61, 111, 165, 217, 261?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982973480.\nAnswer: 2, 3, 5, 59, 379, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 0, -m + 1 = 2*f + 6. Suppose 2*k + 0*o - 9 = o, -3*o - 22 = -m*k. Solve -3*c - 5*l + 14 = 0, 3*c - 22 = 4*c - k*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 10:28 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 + 5314*a**2\/3 + 10602746*a\/3 + 158642890\/9 = 0. What is a?\nAnswer: -3983, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 0.3, -0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064) - sqrt(8064)*2)\/(sqrt(392) - -2*sqrt(392)) + sqrt(1008) + -1*sqrt(1008) + (sqrt(7)*5 + 0)**2.\nAnswer: -4*sqrt(7)\/7 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -3692.\nAnswer: -53\/3692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -131101402 (base 5) in base 8?\nAnswer: -2351611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5558\/1191)\/(14\/3))\/((6\/2)\/(-225))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*p + p = 6, -4*x + 26 = 5*p. What is the common denominator of (3 + x)\/(13 + -2 + -1) and -55\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (3 + -6 - 1). Let u(a) = -9*a**2 + 11. Let w(k) = 4*k**2 - 5. Let g(l) = v*u(l) + 7*w(l). Does 23 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from jjkxxxkxxxxkxxxxxxxx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 18*w**2 + 48*w + 10. Determine f(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201202000022 (base 3) to base 7.\nAnswer: -30241256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653444870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/20)\/(-72)*1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/140)\/((-12)\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.47667t?\nAnswer: 476.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**28)**(-5\/2)*(x**19*x)**(-2\/7) assuming x is positive.\nAnswer: x**(-530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 22*w + 5 = 0. Let v(f) = -4*f - 15. Calculate v(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 62 + 0*o + 62.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 5:45 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 87*u - 319. What is n(-47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53020 + 21?\nAnswer: 53041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let h = z + 10. Let a be (81 - -2 - 2)*1. Calculate the highest common divisor of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 92544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*c + 16, 5*y + 1 = c + 4*y. Solve -2*j - c*j + 5 = 4*h, 0 = -3*h + j - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -5*f**4\/4 - 5*f**3\/3 + 10*f**2 + 20*f + 33. Find s, given that t(s) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 10*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41417, 41419, 41415, 41399, 41365?\n\"Answer: -z**3 + 3*z**2 + 41415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3015 - -3?\nAnswer: 3018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 6. Solve x = 4*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 2, k: 2, t: 1, f: 1, r: 4}. Give prob of picking 3 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14618*k**2*m**3 + k**2*m - 5187*k*m**2 wrt m.\nAnswer: 87708*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/15 - 59*u**5\/10 - 187*u**4\/6 + 59*u**3\/3 + 186*u**2 + 1093*u - 1. Let m(n) = 0. What is n?\nAnswer: -3, -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1506016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.12, -2\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 0*z - 19*z - z - 9*z.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y - 65*y + 11*y)*(3*y**3 - 3*y**3 - 2*y**4) + 0*y**5 - 5*y**5 + 3*y**4 + 5*y**2 - 4*y**2.\nAnswer: 85*y**5 + 3*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 499\/1090492?\nAnswer: 499\/1090492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.4 + -7. Let n be (-3 + 1)\/((-2)\/(-11)). Let q = -542 - -538. Sort q, n, r.\nAnswer: n, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 4. Let b be r(2). Is 7*(1 - b) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 320, 32, 0, 7, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 4 + -63 - -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 49*t + 292. Calculate g(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180114\/(-165)*(-3)\/2 - (-2)\/(-5) is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 184. Let i = 78 - j. Solve -52*z**2 - 214\/7*z**3 - 16\/7 + 50*z**5 + 380\/7*z**i - 136\/7*z = 0 for z.\nAnswer: -1, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -75*d**2 + 31*d + 58. Calculate r(-2).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -26. Let v be 23 - (g + 8\/2). Sort -4, -3, v.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**4 + 2*m**3 - 2*m**3)*(1 + 2 - 2).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 4\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-14) - 16068\/(-91). Suppose 17*v + s - 1876 = 0. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.16 + 1.84. Let v = 0.43 - 20.43. Let d = v - -20.1. Sort b, 1\/3, d in increasing order.\nAnswer: d, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:20 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245426.2 - -245385.49402. Let j = 40.7 + m. Round j to four dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ggfgfggffgggfg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 805255695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 13.2. Let h = -24 - m. Let k = h - -11.0128. Round k to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-5)\/((-35)\/6). Calculate the smallest common multiple of 40 and (n\/(-5))\/(18\/(-420)*-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let x be 6\/4 - (-2)\/4. Suppose -2*v = x*r - 15 + 1, 1 = -v - 5*r. Let m(o) = -15*o + 15*o - v*o**2. Give g(m(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753955.3um to centimeters.\nAnswer: 75.39553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219318490?\nAnswer: 2, 5, 31, 43, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -7*y**5\/5 - 131*y**4\/5 + 178*y**3\/5 - 8*y**2 = 0.\nAnswer: -20, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k - 3*k + 2*k)*(k + 0*k + k + 2).\nAnswer: -24*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12198 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -94, -170, -266, -376, -494, -614?\n\"Answer: d**3 - 19*d**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.22 - 0.38. Let t = s + -7. Let q = t - 22. Round q to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/23)\/b)\/b)\/b**14 assuming b is positive.\nAnswer: b**(-369\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/(9 + (-25)\/15). Is 62 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (97375\/(-44280) + (-1)\/(-8))*12\/(-7). Determine g so that 2\/9*g**3 + r*g + 16\/9*g**2 + 0 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -59.5.\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 21) + (34 - (10 - 5)) + 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0, 18, -5 in decreasing order.\nAnswer: 18, 1\/6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 3*f - 13. Calculate i(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -297, -283, -267, -249?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4*12\/(-9)*-18)\/((-712)\/(-89))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 904608 and 2713824.\nAnswer: 2713824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 96 = -4. Let s = 91 - v. Let y be 20\/255*9\/(-6). Sort -1\/6, y, 0.2, s.\nAnswer: s, -1\/6, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c + 14 = -2*s, -2*c + 2*s = -22. Solve 2*y = -0*y - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.9 + -82.9. What is the fourth smallest value in 2, -2, q, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 4 (c) -24 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -3*p, 5 = 5*p - 4*r - 25. Factor -j**4 - 5*j**2 + 2*j**p + 3*j**2 - j**5.\nAnswer: -j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0) + 6 + 2 + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 241009346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524*f*w**3 - 210695*f*w**2 - 55253*w**3 + 205*w**2 + w wrt w.\nAnswer: 3144*f - 331518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 + o + 1. Let g be q(0). Let k = 260.1 - 260. Which is the closest to -2\/3? (a) k (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/(-47))\/(((-12)\/9)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25236, -50560, -75884, -101208, -126532, -151856?\n\"Answer: -25324*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + d - 117*d**2 - 109*d**2 + 2*d**4 + 228*d**2 to q*d**3 + u*d**4 + r + y*d**2 + c*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0 - -1) + -17. Let f = -21 + -22. Let k = f - -27. Do k and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/20 + g**4\/6 + g**3\/3 - g**2 + 4*g. Let v be b(2). Solve v*o - 4 + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 8, p: 1, d: 2, a: 4}. What is prob of picking 2 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004716093 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 650359807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1422.3004 - 1419.3. Let s = -15 + 12. Let c = s + p. What is c rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6139*h**2 + 72 - 6095*h**2 - 74.\nAnswer: 44*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126837541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 5 (b) 3 (c) 2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 362378.\nAnswer: 362378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6c38a8 (base 15) to base 13\nAnswer: 10c2b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 293747212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3910209 is divided by 977550.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327.9749 rounded to the nearest integer?\nAnswer: -1328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96.867 + -9.377. Let l = -156 - -243. Let p = m - l. What is p rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -58*z + 96. Does 9 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:14 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 33 = 3*l, 0 = -y - l - 0*l + 15. Let t(g) = g**2 - 13*g + 10. Let d be t(y). What is the units digit of (-430)\/(-14) - d\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965087659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4213682 - 6?\nAnswer: -4213688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 8, -21, -72, -151?\n\"Answer: -g**3 - 2*g**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-3)*((-12)\/90 + 1075\/(-375))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**2\/2 + 313. Let j(t) = 2449*t. Give j(b(l)).\nAnswer: 2449*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*w + 489*w + 74*w = -70912 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 != -818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111310555 (base 6) to base 5.\nAnswer: -1004443142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6252 and 36?\nAnswer: 18756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134509 - -752622. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*n = -2, 0*o - 4*o + 22 = -3*n. Let f be -1 + 2\/(2\/2). Suppose -o - f = -t. Solve -5*p + 2*q = 4*q - 15, 9 = 3*p + t*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*d**5 - 3150*d**4 - 13*d**3 - 58776155*d**2.\nAnswer: -6720*d**2 - 75600*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**2 - 4. Let b(r) = 1245 + r - 1250 - 2*r**2 + 13*r**2 - r**3. Let x = 12 + -8. Let o(a) = x*b(a) - 3*y(a). Factor o(i).\nAnswer: -4*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o + 34*o - 81 + 17*o + 81.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-29)\/((-9396)\/(-36))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 6*j**2 + 6*j - 9. Let n be u(7). What is n rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3774*l - 83. Let o(g) = -3776*g - 92. Give -10*j(y) + 9*o(y).\nAnswer: 3756*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + h - 105 + 95 = 0, 3*n = 2*h + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + 398\/(-312). Let k = -1\/39 - h. Factor 3\/2*g + k*g**2 - 9\/4.\nAnswer: 3*(g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -1)\/(-4) - (-55)\/44.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5666599577.\nAnswer: 19, 298242083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 1*-1*sqrt(114))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**3 + 13*k**3 + 0 + 0.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 46*b**2 - 77*b + 23. Determine g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1. Let h(p) = 8*p - 24. Let v(d) = h(d) - 24*t(d). Let a be v(3). Suppose 9*u = 3*u + a. Solve -i + 11 - 2 = u*m, 0 = 4*m + 4*i - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 21. Is 15 a factor of b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7870888 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 8*s + 9. Calculate b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*d + 5994, 31*p - 5*d = 37*p - 8983. Which is greater: p or 1500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97146 is divided by 5883?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 44 (b) 82 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090 divided by 335?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 36483, 3\/5, -3\/7?\nAnswer: 36483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/18*2907\/1615?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.04 + -0.04. Let u = 6\/103 + -2696\/309. Let i = u - -9. What is the nearest to l in i, 4, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*m + 8*m. What is the second derivative of -11*b - 4*b**4 - 4*b**m + 4*b**2 wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -50, -53, -56, -59, -62?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/63)\/((-320)\/105 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {a: 1, j: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyyy. What is prob of picking 2 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2096 divided by -4\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 90\/1080 + (-7)\/12 + 134\/288 and -19\/279.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347851236 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - ((-29 - 33) + (6 - 2))) + -12.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -61, -183, -417, -799?\n\"Answer: -6*f**3 - 2*f**2 + 2*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10674297 to the power of 1\/2, to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 39455*l + 433980. What is f(-11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 + 5959*d + 5958 = 0. Calculate d.\nAnswer: -5958, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 151?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.11, -2\/9, 0, 1\/5 in descending order.\nAnswer: 1\/5, 0, -2\/9, -9.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f. Let t be o(-2). Let i(m) = -5*m**3 + 465*m**2 + 5*m - 35. Let s be i(93). What is the highest common divisor of t and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 6*b**2 - b - 13. Let q be 150\/24 - (-1 + (-1)\/(-4)). Let u(p) = -p**3 + 2*p**2 + p + 6. Let l(r) = q*u(r) + 3*o(r). What is l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 34.9.\nAnswer: -6.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q - 5. What is the remainder when (-1827)\/(-28) + (-1)\/q is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, z: 2, o: 1, v: 1, l: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + (sqrt(190) + 3*sqrt(190))*-5 + sqrt(190))\/(sqrt(160) + 4*sqrt(160) - sqrt(160)).\nAnswer: -17*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 12*g**2 + 17*g + 39. Find the first derivative of i(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25243189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-104 + -5)) + -191 + 159.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*j + 1248 = -293*j - 614 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09386273 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 730 - 365. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-3 - (2 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2*-8*2\/(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 136?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*m + 4*m. Suppose 5*o - x - 1299 = 0, o + 3*o = m*x + 1056. What are the prime factors of o?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 2.3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 54*g**2 + 699*g - 1054. Determine q(-65).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -47*p - 227. Let u be d(-5). Let r(l) = 2*l**2 + 4*l. Let q be r(-4). Calculate the highest common factor of u and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6 + (-561)\/87)\/((-2)\/(-2)) and ((-615)\/82)\/((-1)\/2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/413 and -3\/91.\nAnswer: 5369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1038\/5 - 18709\/90. What is the common denominator of 61\/10 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -373, -1271, -3015, -5887, -10169, -16143, -24091?\n\"Answer: -47*p**3 - 5*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 995.8057 kilometers?\nAnswer: 995805700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1224 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2581816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -29. Let c(m) = -11*m. Give c(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 71 = 2*g, 2*r = -0*r + 10. Suppose 76 = 4*k + g. What is the least common multiple of 2 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/200 and -5\/4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-29)\/(-2))\/((-9)\/(-10962)*7). Suppose -m + s = -2180. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 914 or 909?\nAnswer: 909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.21 (b) -2 (c) 4 (d) 0.1 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/6255645 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -b372?\nAnswer: -b37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 - v**5\/4 + 11*v**4\/24 + 5*v**3\/3 - 5*v**2. Let s be p(13). Let q = s + 282. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*n - 434, -300 = -2*n + z + 134. What are the prime factors of n?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242041442 (base 6) to base 2.\nAnswer: 10001011101101001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {o: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {j: 1, v: 8, t: 2, e: 2}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from {m: 1, c: 3, u: 3, y: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + -1 + 6 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x - 11. Let m(b) = -9*b - 14. Let r(h) = 3*h + 5. Let l(q) = -3*m(q) - 8*r(q). Let d(v) = 11*l(v) + 2*n(v). Let a(u) = -u + 3. What is d(a(s))?\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 3\/26 (c) 4 (d) -17 (e) -296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*o = 24, 3*o = 7*i - 6*i - 10. Let q(p) = -p**3 - 4*p**2 + 20*p + 11. Let u be q(3). Solve -i*r - u = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + l**3 - 2*l**2 + 0*l**3 + 0*l**2 - 2 + 13*l. Let i be g(-5). Solve f - i = -5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1085.2 - 1085.49995. Let o = 0.004 - 0.304. Let x = o - q. Round x to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18940 * -1.11.\nAnswer: -21023.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z - 33*z = -16*z + 378*z - 17875 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 51.5. Which is the third biggest value? (a) k (b) -6\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 35 - (9 + 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 336\/36*(355\/10 + 5). Calculate the highest common divisor of 252 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 1011, 1512, 2011?\nAnswer: 2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2467, 4912, 7355, 9814, 12307, 14852, 17467?\n\"Answer: 3*n**3 - 19*n**2 + 2481*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*c - 185. Let q be ((-36236)\/c - -1)*12*60. What is q rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 114, -1, 2, -4.\nAnswer: -9, -5, -4, -1, 2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of ((-4)\/(-14))\/((-27)\/(-86751))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 697, 750, 801?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 723962, 2895839, 6515634, 11583347, 18098978, 26062527?\n\"Answer: 723959*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, s: 3}. What is prob of picking 1 f and 2 s?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7920417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*o - 21, -4*o + 15 = 6*k - 3*k. Let n(w) be the third derivative of 0 - 1\/330*w**5 + 0*w**3 + 0*w + o*w**2 - 1\/132*w**4. What is b in n(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1968, 3920, 5848, 7740, 9584, 11368?\n\"Answer: -2*s**3 + 1966*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4622238 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13752105 (base 9) in base 5?\nAnswer: 3221344414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 14) in base 13?\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from {h: 1, a: 1, b: 2, q: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n - n)*(-1149*n**3 + 13007*n - 13007*n).\nAnswer: 3447*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 0*b**2 + 40286855*b**3 + 5*b - 40286857*b**3.\nAnswer: -2*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from {x: 4, d: 5, i: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.34907 * 2\nAnswer: -0.69814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*c = -43368, 0 = i + 4*c - 8560 - 13115. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 93*o**2 + 90*o**2 + 10 - 8*o - 133*o**2. Let x be f(2). Let a be (4 - (-125)\/(-30))\/(x\/8). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4 + (2 + 2 - 3)*(3 + 1 - 3) + 0 - 1 - 1)*(3*c**5 - c**5 + 5*c**5) - c**5 + 2*c**5 - 2*c**5.\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 4*i - 6*i + 9*i**2 - 14*i**2 + 4*i**3 to y + m*i**3 + f*i + r*i**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from doa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5\/6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1848\nAnswer: -369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 - 7*d - 12. Let p(j) = -j**2 - 1. Suppose -s - 3*q = s, -s + 4*q + 22 = 0. Suppose -3*w = -2 + 5. Let g(i) = s*p(i) + w*m(i). What is g(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 2544\nAnswer: 101.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, -5.\nAnswer: -15, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 220\/40 - (-2)\/(-4). Suppose 6*i = i + 2*q + 19, k*i + 3*q - 34 = 0. Solve 2 = 4*v - i*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24 + -1 + 0 + 3. Suppose -p = -5*q - 6. Solve 4*c - 5 = -z, -q*c - 2*z + 12 - 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 4\/5, 9, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398 + -775\/2. Let l = s - 11. Which is the smallest value? (a) -0.3 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 2*l**2 - 3*l - 7. Let q(n) = 4*n**3 + 3*n**2 + 4*n + 10. Let m(g) = 7*d(g) + 5*q(g). Calculate m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267979*d**2 - 259835*d**2 + 527850*d**2.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32836 times 9\nAnswer: -295524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 h, and 1 i when four letters picked without replacement from jhhhjcjjij.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microsecond in nanoseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (-5 - (-22 + 47))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 35*p**2 + 10*p - 324. Let i(y) = 23*y**2 + 7*y - 216. Let h(k) = -7*i(k) + 5*l(k). Differentiate h(t) wrt t.\nAnswer: 28*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -78. Suppose 18 = 5*l + o, -3*l = 3*o + 5 - 23. What is the least common multiple of d and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - a + 518, b - a - a - 134 = 0. Suppose -3*c + b = 2*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13170559.1 to the nearest ten thousand.\nAnswer: -13170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13837743 and 1242?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -140.\nAnswer: -89\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t + 1. Let g be q(-3). Let j be g\/3 - (-11)\/3. Find the second derivative of -8*u**j + 2*u**3 - 5*u**3 + 0*u**3 - 4*u wrt u.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/638 + (-162)\/44.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1697*m**2 - 44125*m + 67. Calculate w(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 6259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62\/7 - 193\/21. Which is greater: z or -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 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: Simplify (k\/(k**(2\/5)*k*k))\/(k\/k**(-2\/5))*(k\/(k**(-1\/4)\/k*k*k))\/(k\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3570 and 3468.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 8*k**2 - 7*k + 12. Let p be t(-7). Are 11 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -i - 3*y - 2*y, 4*i = -5*y + 1828. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107628 is divided by 1397?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 332951360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 42 = -18. Let y = 0.22 - -0.08. Let s = y + -1.3. What is the second biggest value in l, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.675, 9, 3, -1389 in decreasing order.\nAnswer: 9, 3, 0.675, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13288, 13289, 13292, 13297, 13304, 13313, 13324?\nAnswer: 13337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 7*z - 2*z)*(0 + 3 - 2)*(0*z + 0*z + z + (2*z - z + z)*(2 - 2 + 1) - 164*z + 119*z - 335*z) + (-z - 2 + 2)*(-2 + 2 - 1)*(3*z + 4*z - z).\nAnswer: 3022*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2335*z**2 + 1807*z**2 - 4761*z**2)*(6 - 3 - 1 - 4 - 1 + 7 + 1 - 2 - 1 + 2 - 2 - 2 + (5 - 4 - 2)*(-1 + 1 - 2) + 3 + 2 - 6 - 3 + 5 - 4).\nAnswer: 619*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.4. Let t = 41\/7 - 37\/7. Let l = -2 - -2.1. Which is the closest to l? (a) t (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 141*z + 307597. Calculate y(429).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-826)\/15222)\/((-980)\/240*2)?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + 16. Let a(c) = -c**2 + 13*c + 11. Calculate the remainder when r is divided by a(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4051*n**3 - 4*n**2 - 13*n + 40. Let p be x(5). Round p to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -22*o**3 - 6*o**2 - 9*o - 2. Let n be u(-5). Suppose -12981 = -42*q + n. Does 62 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3412998297.\nAnswer: 3, 193, 1964881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/54 and -67\/312.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 22 + 10 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29\/(-4))\/((-2)\/(-8)). Let z = 52 + j. Suppose -3*y - 5 = -z. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 8. Let a be k(10). Calculate the smallest common multiple of (16 - 1)\/((-39)\/a) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7663 + -6498. What is the greatest common divisor of 233 and g?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 - 3)) + (7 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 17. Let v(x) = 223 - 164 - 51. What is -3*r(t) + 7*v(t)?\nAnswer: -3*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose 3*b = 5*r + 48, -a*b + r - 52 = -7*b. Let j = b - -8. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2645 - 4?\nAnswer: -2649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nebjint. Give prob of picking 1 e, 1 j, 1 n, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.3. Let t = 0.15 + o. Let b = 60.05 - 63.05. What is the third biggest value in b, t, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 110, 2\/47, -4, -3 in descending order.\nAnswer: 110, 2\/47, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**2 - 2\/3*h**3 + 206*h + 9. Let y(l) = -2*l. Determine u(y(v)).\nAnswer: -8*v**2 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7037746?\nAnswer: 2, 3518873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -63. Suppose 2*a + 3*q - 2 = 0, q = -n*q. Sort a, 0.1, 2 in decreasing order.\nAnswer: 2, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -4*r + 5*r**3 - 5 + 5\/24*r**4 + 45*r**2. Solve z(l) = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3432 and 371624.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20*d**2 + d - 3. Let y be w(-2). Suppose 0 = -2*k - k + y. Is 2 + 5\/(k\/2005) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = -25*a + 11*a. Is 3\/(-5) - a\/(-30) - -24429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 + 479. Let d = -22 + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 60*l - 351. Let q be z(6). Let i(b) be the first derivative of -q*b - 5\/2*b**2 + 3. What is the derivative of i(k) wrt k?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-21))\/((-3)\/21). Suppose -4*u - 13 = f - n*f, -5*u = -f + 8. Is (-4)\/(-2) + u - -120 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3144\/7 - -19459\/42. Let g = -2\/561 + -8411\/1122. What is the common denominator of x and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 12. Let s be o(-15). Suppose -s*q = -22*q + 57. Solve -q*l = d + 2*d + 15, 17 = -4*l - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)\/(6\/588). Let y = x - -2256\/23. Let s = -7.68 - -8.18. Which is the fourth smallest value? (a) y (b) 3\/4 (c) 3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2*1*1)**2 + 3 - (sqrt(704) - (sqrt(704) + (sqrt(704) - ((sqrt(704) - (-3*sqrt(704) + sqrt(704))) + -5))) - 2*(0 + sqrt(704))).\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - 3. Let a = 8 + -5. Let r be s(a). Suppose 4*g - 35 = r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 2*z**2 + 2*z**2)*(5 - 11 + 4)*(4 + 1 - 3).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 86*p**2 + p + 2. Is 5 a factor of w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 25 = 45*o. Suppose -o*b = -7*b. Solve -n + b + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 758 + 22. Suppose 6*k - y = -72. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:07 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286\/3 + 96. What is the closest to 3 in -2, j, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtijj. What is prob of sequence xit?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 22\/8)\/(1\/48). Suppose 0 = -v*x + 35*x. Let z(i) = -i**3 - 2*i**2 + i. Let h be z(x). Are h and 3\/56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -83\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 132*a**2 + 30 - 271*a**2 + 126*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h + 5*h - 6*h - 4*h - 1. Suppose -2*n - 5*k - 11 = 0, 2*n = 4*n - 4*k + 2. Is 13 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7916?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/142705 + 9850053\/81056440. Let n = 35183\/69864 - h. Let w = -2\/41 + n. What is the third biggest value in w, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 21 = -5*m - 1, 0 = -2*m - c + 8. Suppose 4*b = d + 2*b - 26, m*b = 5*d - 142. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 8. Let x be u(8). Let f = 2 + x. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119271337.\nAnswer: 17, 41, 211, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377 + -1887\/5. Put s, 5, -1\/9, 3 in increasing order.\nAnswer: s, -1\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1554e4 (base 16) to base 13\nAnswer: 39c417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 53*d - 30 = 0. Let p = d + 63. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98644)\/8190 - (-4)\/90?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 1699646.\nAnswer: 1699646.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 3, c: 1, t: 5, e: 3}. What is prob of picking 2 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2107 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 22*a + 4. Let h be q(-11). Suppose 3*v - v = 0. Suppose 2*t - 8 = v, -h*t + 101 = m + 8. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(-55*v - 4*v**3 + 55*v) + (v - 3 + 3)*(0*v**2 - 4*v**2 + 2*v**2) to the form k*v**2 + w*v + m*v**3 + t and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -924590 + -11.93?\nAnswer: -924601.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/6)\/5*22. What is the greatest common factor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 8958*m**3 - 6541777*m**2 - 60554575056*m - 45695328668224.\nAnswer: -(m - 5671)**2*(m + 1192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:05 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/g**(2\/9))**(-34)*(g*((g**(-3)\/g)\/g)\/g)\/g*g**(1\/4)*(g\/(g*g\/(g**(-1\/2)\/g)*g*g))**(1\/2) assuming g is positive.\nAnswer: g**(1526\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904868336 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*2*171\/18\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40893 - 81557 - 305*l**3 + 40664.\nAnswer: -305*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away 186657355?\nAnswer: -186657354.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s = -25*s - 9*s. Solve -2*i - 811 + 825 = s for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15953907.\nAnswer: 3, 5317969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z - 7\/2*z**2 + 6 - 2\/3*z**3. Let o(l) = -2*l - 4. Calculate -3*i(f) + 5*o(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20393173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -115*w + 3. What is the hundreds digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59 + -124?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1483603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-22)\/(-10) + 12\/(-60). Let v = 70 + b. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17269\/(-113482))\/(((-1)\/2)\/(1\/1))\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 2427*d**3 + 14634*d**2 - 29316*d + 19560 = 0. Calculate d.\nAnswer: -815, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00944 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 13890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18769\/7 - 1\/7*s**2 + 274\/7*s.\nAnswer: -(s - 137)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w**2 + 1 + 3*w + 2 + 0*w**3. Let j be t(-3). Solve 3*a - 18 = j*i, a + 4*i = -2*a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 10) in base 15?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*b**3 + 5*b**2 + 96?\nAnswer: 42*b**2 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -9*d + 7*d. Let p = d - -9. Solve -4*v + 6 - 4 = p*i, v = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107344036 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3358970 or -3358962?\nAnswer: -3358970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 3*q. Solve p - 16 = -q*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-28)\/(-6). Let l(j) = 2*j + 6. Let s be l(f). Is (-1174)\/(-18) + s\/18 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5986.1878 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19 - -6) + -20 + 7342?\nAnswer: 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 4*a + 2*a as k + z*a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.0572041, 0.26 in increasing order.\nAnswer: -5, -0.0572041, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*h**3 - 3*h - 26*h**3 - 97*h**3 - 61*h**3 - 17*h**3 wrt h.\nAnswer: -972*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f - 4. Let m be v(4). Let s be 6\/m - (-44)\/8. Suppose 0 = -s*d + 5*d - 163. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 w when four letters picked without replacement from {t: 1, l: 3, s: 2, w: 5, o: 1, a: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**2\/2 + d + 23. Let b be w(3). Solve 6*f - b*f + 4*u = 14, 4*f = -5*u + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 575\/21913?\nAnswer: 575\/21913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1114884 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 593649.3 meters in kilometers?\nAnswer: 593.6493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 50 = -6*l. What is the smallest common multiple of 3 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218795900*0.5\nAnswer: -109397950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2 (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4315, 8356, 12395, 16432, 20467?\n\"Answer: -v**2 + 4044*v + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Suppose d + 5 = -t*x, -2*x - 2*d + 6 = 16. Sort x, 1, -4 in ascending order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 83 - 57 = 0. What is the closest to 0 in 37, 1\/3, 0.5, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + y - 26, -2*y = -3*j - 89. Let l = j + 40. Solve 2 = 4*g - 4*d - 10, 3*g - l = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100 - 11001111110?\nAnswer: -11011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5842, 23251, 52284, 92941, 145222?\nAnswer: 209127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 170*o**2 + 167*o**2 - 332*o**2 - 1 + 1.\nAnswer: 5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2230 + -6680\/3. Factor -j*c**2 - 2\/3*c**4 - 8\/3*c**3 + 0 - 4\/3*c.\nAnswer: -2*c*(c + 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1452 + -91.5548. Let u = p - -91.7. Let j = 0.1 - 0.1. Which is the nearest to j? (a) u (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96.96 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - -99. What is the highest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g. Let k be (2045\/15)\/((-3)\/(-27)). Let h(w) = k - 2*w - 1227. Determine v(h(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -1, 0 in descending order.\nAnswer: 114, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273 is divided by 700?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 2622 in descending order.\nAnswer: 2622, 16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 205*i**2 + 1021*i + 11. Determine f(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:44 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*i - 5920 = -2709 + 2721 + 8692 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693499447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1119572991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 11 (b) 0.4 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - ((3 - 0) + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1073*u - 2 - 270*u + 4*u**2 - 283*u - 269*u - 290*u. Let v(c) = 9*c**2 - 78*c - 5. What is 5*a(d) - 2*v(d)?\nAnswer: 2*d**2 - 39*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2002 - 123. What are the prime factors of m?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-16)\/2)*(-23)\/(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 - 281*q - 2822 wrt q.\nAnswer: 3*q**2 - 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d**2 + 50*d**2 - 91*d**2 + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36566, 73124, 109670, 146198, 182702, 219176, 255614?\nAnswer: 292010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4051776.93 from 323.42.\nAnswer: 4052100.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4688*u + 23434. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.23, 4.01, -0.207, -1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -90*p**2. Let l(v) be the first derivative of -v**3\/3 - 33*v + 36. Let f(c) be the first derivative of l(c). What is x(f(s))?\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {b: 2, q: 4, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9 - 0. Suppose j*u = 2*f - 0*f - 21, 3*f + u = 15. What are the prime factors of (f\/(-4))\/((-4)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2*c - 4, 6*c - 2*c = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6435 and 3465?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 1823.9474?\nAnswer: 1805.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 681 by 7176.\nAnswer: 227\/2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*f, f + 36 = 2*n - 2*f. Let r(a) = a. Give r(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.34573 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 4*b. Let k(x) = -x**2 + x + 2. Let z be k(3). Let a be p(z). Let m be a*(1\/(-1))\/2. Solve -5*r + 25 = m, -4*l + 8*l + 5*r = 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 2.892, 23, -3\/8, -2\/9 in ascending order.\nAnswer: -3, -3\/8, -2\/9, 2.892, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t + 10*t**3 - 2538*t**4 + 5*t**2 + 2543*t**4 - t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, u: 3, j: 2, t: 8}. Give prob of sequence jee.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 237, 461, 755, 1119, 1553?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/(-6)*3\/2. Let a = k - 18. Suppose a = -j + 42. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237405?\nAnswer: 5, 447481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - z**2 + 2*z + 3. Let a be b(-3). Let l = -29 + a. What is the greatest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + l**3 - l**3 + (-l + 2*l - 3*l)*(-l**2 - 4*l**2 + 7*l**2) + (3 + 4 - 6)*(l**3 + 0*l**3 + l**3) + 12*l**3 - 42*l**3 - 178*l**3.\nAnswer: -212*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -151 times 36.57\nAnswer: -5522.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5189 + -70.4811. Let q = 34 - 100. Let j = q - f. Put -2\/9, -1, 1, j in increasing order.\nAnswer: -1, -2\/9, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let w(m) = 4*m**2 - 47. Determine o(w(i)).\nAnswer: 4*i**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -37*t - 25. Let i(u) = -112*u - 71. Give -6*i(c) + 17*p(c).\nAnswer: 43*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5\/11 - 2*f**4 + 36*f**3\/11 - 8*f**2\/11 - 16*f\/11.\nAnswer: 2*f*(f - 2)**3*(2*f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5009 - -5011.2582. Round c to 2 dps.\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(720))*-4 + sqrt(720) + -5 + sqrt(720)*-3)**2.\nAnswer: 2448*sqrt(5) + 26209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25462523 - 0?\nAnswer: -25462523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let d(u) be the first derivative of u**2\/2 + 4. Let v(o) = -4*o. Let h(k) = 2*d(k) + v(k). Give h(b(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1920632 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(95) - -1*sqrt(95)*-2 - sqrt(95) - (-5*(sqrt(95)*-1 - sqrt(95)) + sqrt(95)))\/((sqrt(720) - sqrt(720)*3)*-5).\nAnswer: -1 - 13*sqrt(19)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865889 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 13783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + (-4)\/18. Let c(a) be the first derivative of a**6\/120 - a**3 + 5*a**2\/2 + 2. Let b(j) be the second derivative of c(j). What is b(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-25))\/j)\/j**(2\/25)*(j\/(j\/(j**(-1\/8)*j)*j))**(-3) assuming j is positive.\nAnswer: j**(5059\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 + 2*d**3\/3 + 4*d**2 + 33*d - 8. Is 8 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.477 to 0 decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**0)\/y**(-2\/21))**16)**34)**(-25) assuming y is positive.\nAnswer: y**(-598400\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d + 8. Let l be f(0). Let o = l + -1. Suppose 9*y = o*y + 8. What is the greatest common factor of 36 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*o*v - 976*b**2*o + 19*b**2*v + 17*b**2 - 22*o*v + 62*v + 1 wrt v.\nAnswer: 2*b**2*o + 19*b**2 - 22*o + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 49 = 2*q + q, -5*b - 2*q = -34. Let a be 22\/b - 3\/4. Suppose -x = a*x - 15. Solve -x*s + 2 = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-12)*19\/(-3)*(-81)\/18. Solve 0 = 23*g + 119 + c for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 55569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 5*v + 12 + 4*v. Let o(f) = f - 8. Let n be o(0). What is the units digit of s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3154, -25530, -86248, -204478, -399390, -690154, -1095940?\n\"Answer: -3195*o**3 - o**2 - 8*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/10 + 38*x**3\/15 + 18*x**2\/5 + 552. What is d in y(d) = 0?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -37. Suppose -7*l + k = -3*l. Suppose 2*f = 2*o - 14, -o + 5*o + 2*f = 46. What is the least common multiple of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:33 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((132\/12)\/(-44))\/(3\/8)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1097.4 - 1097.4. Let t = 107.94 - 109. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70 - ((-4)\/(-8))\/((-2)\/4). Let q be 21 - h - (-1 - -1). Let j = 92 + q. Calculate the highest common divisor of j and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 22*s - 216. Let i be c(7). Calculate the greatest common divisor of 663 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2\/3*k**3 + 5*k + 22 + 3*k**2. Suppose -3*h + 2*u = 24 - 4, -8 = -h - 3*u. What is v(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 62. Let h = 31.3 - y. What is the second biggest value in 2\/13, -2, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984069883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18124 less than -15.04?\nAnswer: -14.85876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -8257*b**2\/2 + 7251*b + 4325. Find the first derivative of d(w) wrt w.\nAnswer: -8257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30117492?\nAnswer: 2, 3, 31, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b9 (base 13) to base 14\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310814004.\nAnswer: 2, 3, 25901167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13516 (base 7) to base 16.\nAnswer: e68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 + 3*i - 3*i - 1 + 1 + 2*i**2 - 16*i**2 - 93 + 93 + (1 + i - 1)*(i - 2*i + 3*i) to the form h*i**2 + j*i + g and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 69*f**2 + 174*f - 600.\nAnswer: -3*(f - 25)*(f - 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 + 494 = -8*q. Suppose 2*h - q*x + 1 - 17 = 0, x + 12 = 5*h. Find z such that -1\/4*z**h - 1\/4 - 1\/2*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1178 - 1151. Let l(m) = m - 1. Let t be l(4). Let f be t + -1 + 32\/2. What is the highest common divisor of r and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 16*o**5 - 1448*o**4 + 4905*o**3 - 2816*o**2 - 4835*o + 4350 = 0.\nAnswer: -1, 5\/4, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15265 = 1163*h - 7702 + 19186 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 73. Suppose -5*v + 4*u - 3*u = -214, 4*u - 4 = b. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 11. Let t be 268\/9 - (-8)\/36. Let l = q + t. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*o**2*t + 244*o**2 + 3*o*t**2 + 4*t wrt t?\nAnswer: 13*o**2 + 6*o*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let m be (2\/(-2))\/((-2)\/4). Let h(u) be the first derivative of 3\/2*u**m + 0*u - 2. What is i(h(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**5 + 3*p**5 - 3*p**5)*(2 - 4 - 3).\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -4.08. Let h = -2 - 1. Let p be (h\/(-10))\/(3\/4). What is the second biggest value in p, 0.1, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 - 268. Is q smaller than -29\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14950 - 21288801\/1424. What is the common denominator of 19\/8 and i?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -2010 + 2070 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 4, b: 2, z: 6}. Give prob of sequence pdpb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1\/12*g**4 + 0 - 3*g + 1\/2*g**2 + 1\/2*g**3. List the prime factors of y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1757 and 650832.\nAnswer: 652589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -34. Suppose -3*a = -4*f - 28, -3*a = -0*a - 2*f - t. Let l be 6*4\/168 - (-27)\/7. Calculate the highest common divisor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 303 - 0?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)\/(8\/(-4)). Suppose 0 = -3*t - s*t - 5*x, -3*t - x - 12 = 0. Let h(k) = k**3 + 6*k**2 + 3*k + 6. Is h(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 - -7 - (10 + 6 + -7))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 - (-5 - 1))*7\/((-7)\/2049).\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from yryrryrryrr?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-956)\/126 - (-1400)\/3150?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/8 - 2\/8. Let i be 4\/n - (-173)\/(-7). Let y = -12 - i. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1))\/(1 - 3). Suppose -4*g - 402 = 118. What is the common denominator of (1 - g\/(-28)) + a and -1\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*n - 0*u - 52, -u - 129 = -4*n. Find the common denominator of 6\/(-30)*(-370)\/(-12) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 9*m + 18. Determine g(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = -5*x, 3*x + 2*x = 3*g - 11. What is the common denominator of 69\/2 and (-260)\/72 - x\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80) - (-1 + sqrt(80))) + 6*sqrt(80)*2 - (1 + (-5*(sqrt(245) - (sqrt(245) + -1)))**2).\nAnswer: -25 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28192207895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + t + 1. Let q be k(2). Let m = q - -3. What is the remainder when ((-1)\/(-1) - -39) + (4 - 5) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.44\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((5964\/(-112))\/(-71))\/((-1)\/((-2)\/(-6)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -5, 0.2, -2\/183653 in increasing order.\nAnswer: -5, -2\/183653, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -329, -372, -469, -644, -921, -1324?\n\"Answer: -4*d**3 - 3*d**2 - 6*d - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 26. Let c be i(13). Let g = c - 21. What is the greatest common factor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**3 + 40*u**3 - 82*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1024 and -43\/22.\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23747051 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(931) + (sqrt(931) - (0 + -1*sqrt(931) - sqrt(931)))**2 + sqrt(931) - ((-1*sqrt(931) + 2 - sqrt(931) - sqrt(931)) + -5)**2).\nAnswer: -112*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**6 + 116*z**3 + 1315*z**2.\nAnswer: -360*z**3 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - c + 11, -5*g = -2*c + c + 19. Let n be (-160)\/(-2)*g\/(-5). Suppose -3*u = u - n. Solve 0*t = 4*t + 5*h - 31, 0 = t + 4*h - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/29)*c\/(c*c**(1\/57)) assuming c is positive.\nAnswer: c**(313\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**3 - 3*q**2 - 6*q - 3. Let y(t) = 6*t**3 - 4*t**2 - 5*t - 4. Calculate 4*j(k) - 3*y(k).\nAnswer: 2*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - -10 - 122) + (-9 + 5 - 5).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800972*f + 800971*f - 3203890*f + 800968*f + 800980*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 1.99. Let b = -3 + q. Let c = 1.1 + b. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69915, -559737, -1889353, -4478661, -8747559, -15115945, -24003717?\n\"Answer: -69983*j**3 + j**2 + 56*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let u(q) = -3*q**2 - 2*q. Calculate f(u(h)).\nAnswer: 18*h**4 + 24*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11542.9 + -11543. Put -6.9, -5, r, -10 in increasing order.\nAnswer: -10, -6.9, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3773, -7566, -11337, -15074, -18765, -22398, -25961, -29442?\n\"Answer: 2*g**3 - g**2 - 3804*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542527457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(448) - (sqrt(448) + sqrt(448) + 4*sqrt(448))) + 4)**2 - (1 + sqrt(448) + -1)**2).\nAnswer: -53840 + 1600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 2*w**2 - 22*w**6 + 32*w**6 + 2*w**3 - 7 wrt w?\nAnswer: 1200*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 15}. What is prob of picking 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.8 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + sqrt(128) + 0 + sqrt(128) + 2*sqrt(128)*2*5 + -1.\nAnswer: -4 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 30 = -5*y, 38 + 43 = 20*z + 8*z - y + 75 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/b**(-2\/7))\/b)\/b))\/b**(-15)*b**(-6\/11)*b**(-7) assuming b is positive.\nAnswer: b**(706\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180081816 times 0.06?\nAnswer: -0.01080490896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20227 (base 8) to base 10\nAnswer: 8343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94884700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(76) + -1 + -3)*-5)**2.\nAnswer: -4800*sqrt(19) + 34000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54681 + 94384. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 949588 and 60612?\nAnswer: 2848764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -735.901 rounded to the nearest 10?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1. Let y(p) = -5*p**2 - 4*p - 3. Determine 4*q(x) - y(x).\nAnswer: 5*x**2 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t + 30 = -10*t + 186. Solve t*d + w - 11 = 0, -11*d + 15*d = -4*w + 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958809767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025661423 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n + 1. Let i be b(3). Suppose 0 = t + a - 29 + 1, -t + 22 = i*a. Calculate the highest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7268\/(-6) - (-19)\/57. Let t = a - -2200. List the prime factors of t.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 21 + 1. Let y(x) = 3*x - 39. Let h be y(l). What is the remainder when 157 is divided by h\/30 + 164\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(1\/(-6)). Let a = 13 + f. Let h = 8 - a. Solve 0 = -h*o - o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 178 - 392)*(1 + 1 - 4)*(6*w - 4 + 4) in the form s + y*w and give y.\nAnswer: 7080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6489 - -3089. Let g = b + 27237\/8. What is the common denominator of -43\/9 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*o - 13*o**2 - 332*o)*(-5*o**2 + 0*o**2 - 3*o**2).\nAnswer: 104*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.3, -631, -4 in increasing order.\nAnswer: -631, -4, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247 + -245. Suppose -y + 2*a = -9, -2*y - 5*a = q + 7. Solve 2*z = 4*z - 2*l - 4, y*l + 4 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 7 (b) -3 (c) 2\/13 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9094, 75250, 254818, 604504, 1181014?\n\"Answer: 9451*x**3 - x - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*q + 17 = q, 35 = -5*j - 5*q. Suppose 0 = -3*g - g + 24. Suppose t + t = -4*m + g, 4 = 4*m. Put t, 0, j in decreasing order.\nAnswer: t, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) 1 (b) 2 (c) -4712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:24 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 6. Let k be s(5). Let h be (1 + k)*(-3)\/6. Solve -25 = -h*c + 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*p + 55, 42288*t + 5*p = 42287*t - 5 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 3*l - 21 = -65*n, -3*l + 15 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -497254198.07 minus -0.01?\nAnswer: -497254198.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15711795*t + 15711805*t + 600 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157819 is divided by 146.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3.6, -4\/9, 10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -9) + (5 + -4 + 3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0728309314 rounded to 5 decimal places?\nAnswer: 1.07283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(240)\/((sqrt(4) - sqrt(4)*-2) + sqrt(4)) + sqrt(60)))\/(sqrt(432)\/sqrt(4)) - ((sqrt(125) - (sqrt(125)*1 + -5)**2) + 5).\nAnswer: -661*sqrt(5)\/12 + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -497*c**3 + 63*c**2 + 63*c + 63. Let h(g) = -16*g**3 + 2*g**2 + 2*g + 2. Suppose -22*r + 1145 = -241. Calculate r*h(d) - 2*a(d).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 f when four letters picked without replacement from uuffuuf.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**12)**(4\/21))**(-27) assuming h is positive.\nAnswer: h**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 89*r + 3 - 192*r + 1.\nAnswer: -103*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 0. Let b = -1537 + 902. Let z = b - -630. What is the smallest value in 3, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Differentiate 3 - 6 + x**2 - 1 + x**c with respect to x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37 - 79 - 214*i + 42 + 140*i**5 wrt i.\nAnswer: 2800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 3*m + 14 + 8*m - 17*m + 7.\nAnswer: -3*m + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19921.9 * -270.\nAnswer: 5378913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 77*w - 82*w, 4*z - 4*w - 2*w = 4*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9707, 19410, 29111, 38810, 48507?\nAnswer: 58202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 0, -5*v + i = -8*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n - 980 = -121*n. Solve 4*v - n = 3*r - v, 4*v = -3*r - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 2, k: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -5, -0.013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53 (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116036361 + -35?\nAnswer: 116036324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 - 38467\/26)*(-2 + 0).\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (107 - 1)*(-30 - 1 - -4). Let d be f\/(-5) + 4\/(-10). What is the highest common divisor of d and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/170*18)\/3*((-22)\/(-3))\/(-11)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 r when three letters picked without replacement from ddldarayayy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -159546 * -1.18\nAnswer: 188264.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549969659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522452?\nAnswer: 2, 7, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29.37477mg?\nAnswer: 0.02937477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*o, 2*o = -3*k - 3*o - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 11*d + 6. Let u be q(-10). Let m = u + -6. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116648503.\nAnswer: 701, 166403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -19. Let f(c) = c**2 + c - 4. Let y be f(a). Suppose 3*p + 28485 = -7*r + y*r, 2*p - 5*r + 19015 = 0. Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6395.\nAnswer: 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -177\nAnswer: -23\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13294, -26571, -39836, -53089, -66330?\nAnswer: -79559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v - 11. Let w be m(-3). Suppose n = -w*n + n. Suppose -b - y - 1 + 6 = n, 3*b - 3*y = 9. What is the least common multiple of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 105?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3218343 divided by 3\nAnswer: 1072781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-202802)\/(-357182) + 4\/(-7). What is the nearest to 0 in 1, -2\/11, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a decade in months?\nAnswer: 4740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g = 29*g + 3*g - 700 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-6*295\/885.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 204.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2 + f**2 - f**2 + 242*f - 4*f**2 + 28*f**5 wrt f.\nAnswer: 560*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -4\/5, 1575\/4, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q. Let o(l) be the first derivative of 0*l + 77 + 1\/2*l**2. Determine 45*o(p) + 6*z(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 34 = d, -c = -5*d - 0 + 10. What are the prime factors of -40*1\/(c\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81839 is divided by 518.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**32*(r**(2\/9))**(-37) assuming r is positive.\nAnswer: r**(-1094\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 17, 10, 3, -4, -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23149 = -55*i + 20289 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14028721*l**3 - 11313083 with respect to l.\nAnswer: -42086163*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5\/1 + 7352 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 + h**3 + 9422*h**2 + 2908838*h?\nAnswer: 20*h**3 + 6*h + 18844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - t**3 - t**3 + (2*t**3 + 2*t**2 - 2*t**2)*(-3 + 4 - 2).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 11*t + 14. Let r be g(-10). Suppose 4*m + 636 = r*o, -2*m = -0*o + 2*o - 310. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 99 + 193 = -86 - 36 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3 + (sqrt(1216) - sqrt(1216)*-2))**2*6*6 - (sqrt(1216) + 1*sqrt(1216) + -5 - -4*(sqrt(1216) + -3))**2).\nAnswer: -3552*sqrt(19) + 350239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let s = -0.2 - 0.3. Sort f, s, 10.\nAnswer: s, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 116\/1217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 249 = -253. Calculate the remainder when 65 is divided by 518\/(-37)*(2*-1 + q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -3*g**6\/10 + g**5\/30 + 36*g**2. Find the third derivative of a(s) wrt s.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d. Let a(x) = x**3 - 4*x**2 - 4*x. Let u be a(5). Suppose 0*m - u = -5*m. Let z(o) = o**2 + m - 2 + 1. Calculate z(n(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:28 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*q - 65, -9*q + 62 = -6*q + 4*f. Suppose -12*i + 22 = -q. Solve 0 = -i*h - 7 + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -13 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 5452*m**2 + 4149*m - 2.\nAnswer: -12*m**2 - 10904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-20 + -4) - (-2 + 35).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25676 divided by -6419?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(6 - 9*w - 6) as c + f*w and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -20870.\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 133?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-10)\/(-15)*3 + -30. Calculate the common denominator of (354\/120 + -3)*k and 3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914434501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9 - 0. Solve -11 = 3*m + 4*s + d, 4*m - 5*s = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 848*u**3 + 61*u**2 + 6*u - 11166661 wrt u.\nAnswer: 2544*u**2 + 122*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 397143 and 1765080.\nAnswer: 15885720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/14 and -15\/213928.\nAnswer: 1497496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z - 4*u + 8 = 0, -4*u = z - 8. Suppose b - 3*v - 184 = z, -5*v = b - 4*v - 196. Let n = b - -15. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*r - 23, 7 = 5*t + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 94, 198, 340, 520?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -3404, -13246, -33466, -67778, -119896?\nAnswer: -193534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-308))\/(2\/2*-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/48 and 75\/12572656.\nAnswer: 37717968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41388 - 41389. Let l(p) = -75*p - 67. Determine l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -68, 30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*18\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 170*g - 345*g + 175*g. Let v(i) = 4*i**2 + 14*i**2 + 14*i**2. What is n(v(t))?\nAnswer: 2048*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1049 - -9455\/7343. Calculate the common denominator of 41\/21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 784 - 274. Suppose -k + n = 3*k + p, 6 = -3*p. Let x = 199 - k. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101285923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.1, -82, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1806*s**3*y**2 - 305*s**2*y**2 - s**2*y wrt s?\nAnswer: -10836*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*u, y - 5*y - 20 = -0*y - 0*y + 4*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 98. Suppose -3*u + t - p*t + 10 = 0, -u = 2*t - 2. Suppose 11 = -2*o + 5*m, 4*o = 3*m - u + 3. Solve 1 = -j + o*c - 9, 0 = j + 3*c - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18)\/((-1)\/((-3)\/2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.2 + -26. What is the second biggest value in 2\/11, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 43*i**2 + 34*i**2 - 4093*i**3 + 4092*i**3 as h + k*i + a*i**3 + u*i**2 and give u.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 259200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 21. Let h be ((-2)\/(-8))\/(6\/z). Let o(v) = -5*v - 200. Let d be o(-40). Sort d, 11, -1\/3, h in descending order.\nAnswer: 11, h, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.5, 4321, 1\/3, -2, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368 is divided by 588.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 676313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22121011222 (base 3) in base 7?\nAnswer: -1303322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3 and 30\/107818147.\nAnswer: 323454441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 + 61*h**4 + h - 3063.\nAnswer: -40*h**3 + 732*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058862 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5\/8 - 33*s**4\/8 - 117*s**3\/8 - 135*s**2\/8 = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28281760 and 85280.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at most 3030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 3*c + 0*c + 10 + 2*c**4 - 21 + 5 to the form d*c**4 + m*c + n + t*c**3 + v*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46179576 is divided by 33757.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/56 + 8 - (-22)\/(-28)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*f = 4 - 2, -4*f = 4*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00193 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (112\/(-630))\/(2\/3). Suppose -4*c = -3*x + 254, -x - 2*c = -6*c - 98. Let a = 79 - x. Is a at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -29 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -43. Suppose 17*x + 10*x + 81 = 0. Suppose 3*k = 8*k - 10. Put k, x, c in decreasing order.\nAnswer: k, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/5*41 - (1 - -1). Suppose 37*k = -p - 72. Let h(c) = c - 1. Let y(n) = 2*n**3 + 3*n. Give k*h(i) + y(i).\nAnswer: 2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -2, -176, 5, 86 in ascending order.\nAnswer: -176, -32, -2, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, v: 4, s: 2}. What is prob of sequence vsv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 343792436, 343792435, 343792434, 343792433, 343792432?\n\"Answer: -h + 343792437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 25. Let r be h(7). Find the second derivative of -2 - 3*y**2 - 239*y**3 + 4*y**4 + 21*y + 235*y**3 + r*y**2 wrt y.\nAnswer: 48*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 16*m + 19*m + 127, -2*m = -u + 38. Let o(j) = -3*j - 4. Calculate the lowest common multiple of o(-4) and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 4*b**2 - 3*b + 13. Let m(g) = -14*g**2 - 144*g - 34. Let t be m(-10). Calculate q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 101 + -2*(-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let j = q + 4. What is the third smallest value in j, 4, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - 1 - (-3 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 44 = -5*m - 1, 0 = -t + m + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) - (sqrt(13) + -2))*4) + 1 - (4 + sqrt(637) + -2)) + 0.\nAnswer: -6*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17594, 34640, 51686, 68732, 85778, 102824?\n\"Answer: 17046*f + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-2)\/(8\/(-4 - 4)). Suppose -11*i = -53 - t. Solve -4 = i*m - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30120 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3589*w + 175217. Calculate m(49).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:53 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1423.866 nanometers?\nAnswer: 0.000000001423866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7427009 years in millennia?\nAnswer: 0.0007427009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 943, 2148, 3849, 6052, 8763, 11988, 15733?\nAnswer: 20004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2724*s**4 + 1959*s**2 wrt s?\nAnswer: -65376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 790, 1188, 1586, 1984, 2382?\nAnswer: 2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -v*m - 8*m = 0. Solve m*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 110*d**2 + 9*d + 31. Let k be o(5). Let g = k + -1569. List the prime factors of g.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10733565707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3279 - 42773 = -26*l. Let d = 196 + l. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175334 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: Suppose -14*m - 14 = -56. Let h be (m\/(-9) + -3)*-1230. Round h to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 260*v - 124 = -305*v + 524*v, -3*s = -4*v + 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1)\/(-25 - -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -71. Suppose -441 + 161 = -h*p. Calculate the remainder when p is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1607 = -4*l - 3*x, 3 = -3*x. Let d = l - 299. Calculate the remainder when 38 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/7 - 554*u**3\/7 - 1116*u**2\/7.\nAnswer: 2*u**2*(u - 279)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + y**3 + 3 - 2*y + 3*y**3 + 2*y. Let p(m) = m - 1. Suppose -8 = -3*g - 5*o, -5*o + 33 - 32 = -4*g. Calculate g*r(t) + 3*p(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6084544 * -0.09.\nAnswer: -547608.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a = -14*a + 164 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 813.999998678 - 814. Round f to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*w - 8922 - 16054 = -473*w for w.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*b**2 + 20*b**2 + 10*b**2)*(9 - 7 + 11).\nAnswer: 1430*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 10) in base 16?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 69. Let d be z(22). Suppose 5*q + 2*h - 914 = 0, -5*q + 0*q + 904 = -d*h. List the prime factors of q.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = 4*f, -15*v = -10*v - f - 24. Let d(c) = -c**2 - 23*c + 27. Let l be d(-23). Sort -1, l, v, -4 in ascending order.\nAnswer: -4, -1, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23075 is divided by 11431?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -82 in ascending order.\nAnswer: -82, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623572 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: Calculate the greatest common factor of 693977397 and 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1531 - 2?\nAnswer: -1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1*-2 + 1. Let v = -3539707\/22020 + -2\/5505. Let f = -161 - v. Which is the closest to f? (a) n (b) -0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 - -329. Let a = -1255 - -1283. Calculate the remainder when l is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -32.9, 5, -1, 0.4, 1.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(13\/(585\/10)))\/(9\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 53 - 20 = -2*z, 5*z - 2*q - 168 = 0. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/210 + p**5\/15 - p**4\/12 - 256*p**3\/3 + 642*p**2. What is the second derivative of w(g) wrt g?\nAnswer: 12*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 4*q = h - 3, -2*h + 4*q = -10. Suppose o = 2*o + h. Let j(z) = -499*z**2 + z. Let i be j(o). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15900 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 18.18428ml?\nAnswer: 0.01818428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, 3*y + 4*r + 583 = 2168. Let t = -522 + y. Which is the third smallest value? (a) t (b) -0.2 (c) -0.5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155880 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 10*j + j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:07 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.48638181 rounded to 3 decimal places?\nAnswer: -62.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3 - 2439*u**2\/2 - 7935. Factor r(a).\nAnswer: -3*a*(a + 813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8093432\/5 - -1618687. Solve -2\/5 + x*g - 1\/5*g**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21805)\/(-14))\/(-5)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35785 at least 178918\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-921 + 921 + 32*l)*(4*l - 2*l + 1400 - 153) in the form p*l**2 + j*l + a and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 5 - 14) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4645*h**3 - 4646*h**3 + 13939*h**3 - h + 2395*h**2 - 4646*h**3 to the form t + p*h**2 + r*h + f*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(450) + -6*(-1 + sqrt(50) + sqrt(50)))**2.\nAnswer: -900*sqrt(2) + 4150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 2*h - 18*h. Let q = 17 - h. Solve 2*l = -q*m + 6 - 20, 0 = 5*m + 5*l + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46146648?\nAnswer: 2, 3, 23, 41, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -228*o - 374. What is the hundreds digit of h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 6737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1600 and -1469819.\nAnswer: -1471419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 3 - 1\/4*g**2 - 1\/12*g**3 + 0*g. Factor t(k).\nAnswer: -k*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 7*f**2. Let d(x) = -10*x**3 + 22*x**2. Calculate 5*d(t) + 16*v(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.06, 7 in descending order.\nAnswer: 7, 3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -36 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28427?\nAnswer: 7, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 40*o + 23. Let w be p(4). Let x = w - 1646\/9. Which is the third smallest value? (a) 2 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -2. What is the least common multiple of 3 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003011 rounded to seven decimal places?\nAnswer: 0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 744, 738, 730, 720, 708, 694?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.63768 kilograms to tonnes.\nAnswer: 0.06463768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104303263.\nAnswer: 199, 557, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177 + 194. Calculate the remainder when 117 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639912 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, y: 1}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((57\/(-5187))\/(6 - (-738)\/(-117)))\/(2\/40)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -159. List the prime factors of (-2)\/z - (-48)\/(-90)*-327.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 4, -9.6?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 k when four letters picked without replacement from kkkkkkww?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -43 - (44 - -35)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-207)*1175\/15275.\nAnswer: -2\/299","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -9, 0.2, 2\/13, -3\/34, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 3*i**2 - 3*i - 2. Let v(o) = o + 13. Suppose -n + 36 = -4*b, 0*n - 32 = 2*b - 4*n. Let y be v(b). Suppose -4*g - y - 7 = 0. Give s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ammtttmtmtat.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-180000)\/(-14))\/((8\/658)\/(-4)). Round s to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218092 = 4*l + 4*p, 78 - 54 = 4*p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 227. Let v = x - -83. Calculate the highest common divisor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 8*u. Let y(s) = -6*s**2 + 7*s. Determine -4*j(a) - 5*y(a).\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -15406152913138.\nAnswer: -15406152913135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761059559.\nAnswer: 79, 223, 156727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 17 = -3*a. Suppose n + u - 9 = 0, n = 3*n + 5*u - 9. Calculate the greatest common factor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = 12. Let y = -5 - r. Suppose -3*z = 4*v - 69, 4*v - 2*z - 59 = -y*z. Solve -4*q - 1 = -v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t - 7. Let r = -25 - -20. Let o be d(r). Let -5*i**3 + 6*i**3 + 2*i**4 + 11*i**o + i**4 + 12*i**2 = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -514*x - 1420. What are the prime factors of u(-26)?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 12. Solve 2*q = 3*v - 16, 2*q + 4*v = -5 + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 606*s**2 - 30317*s + 6554. Calculate n(551).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppgpvnagvpavvpvpcv. Give prob of sequence vc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14080\/4*(-13 - -14) is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/35)\/(((-66)\/84)\/11). Let p(f) = -15*f. Let z(w) = -2*w - 15. Let x(i) = 3. Let h(t) = 15*x(t) + 3*z(t). Calculate u*h(s) + 5*p(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 252 + 73 + 13*b**2 + 16.\nAnswer: 13*b**2 + 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -18827 greater than -18642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4361203 + -5?\nAnswer: 4361187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - (-5 + 3 + sqrt(11))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/25253685 and -9\/842.\nAnswer: 50507370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*r**3 - 111*r**3 - 120*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3 = -0*u - l, -4*l + 4 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 902.59946 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 2*y - y - 2*y + 0 + 0 + (y - 2*y + 2*y)*(-1 + 2 + 0) - 6217*y + 5060*y + 11 + 3189*y + 2147*y as c*y + a and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -20. Suppose -4*d + 6 = 2*q - 6, -a*q - 3*d = -24. Suppose -3*g = h - 141, -q*g + 188 = -2*g + 3*h. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2*h**3 - 2*h**2 - 15 + 2*h - 3*h in the form q*h**2 + r*h + y + j*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 - 15*g + 358. Let t(b) = -26*b**2 - 45*b + 1072. Let l(x) = -11*i(x) + 4*t(x). Factor l(a).\nAnswer: -5*(a - 7)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 6.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1815 and 560445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/5 + r**4\/4 - 8*r. What is the third derivative of m(f) wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14872280.\nAnswer: 2, 5, 17, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 45\/314?\nAnswer: 45\/314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 + 96 = -6*p + 4*j, 3*p + 75 = -5*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 + 58. Suppose -l + 1107 - q = -5*p, 4*p - 2505 = -3*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11394, -11392, -11388, -11382, -11374, -11364, -11352?\nAnswer: -11338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -35\/34, 1, -1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 - 0.1. Let v = d - -2.01. Put -4, v, -0.1 in descending order.\nAnswer: v, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295977.5 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1614)\/(-18) - 91)\/((-4)\/141)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - s - 9 = 0, -1 - 22 = -3*f + 2*s. Suppose 48 = -3*r - x, 80 = -5*r - 0*x + f*x. Let p be 1\/4 - (-4)\/r. Solve p*q = 4*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 4*p - 10. Determine o(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 4. Let z = -17 - -18. Suppose -5*d - z - 12 = -3*r, d = 4*r + 11. What is v(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -174*b**3 + 2*b**4 - 3*b**4 + 176*b**3 + b**2 + (b - 2*b + 0*b)*(-4*b + 4*b - 2*b**3) - b**4 - b**4 + 3*b**4 - b**4 + 4*b**4 + 0*b**4.\nAnswer: 5*b**4 + 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(3415 - 3563).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-360)*5 + 3\/48*668 + 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103573792 and 476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15668399 a multiple of 2321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1 + -1)*(-9)\/(-6))\/(-9). Let g(l) be the second derivative of -1\/36*l**4 + 0 + q*l**2 - 1\/18*l**3 + 5*l. Factor g(h).\nAnswer: -(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-2\/7)\/((v*v*v*v**(-1)\/v)\/((v**2*v*v*v*v)\/v))*(v**1)**(-47)\/(v**(-2\/9)\/(v**(1\/8)*v)) assuming v is positive.\nAnswer: v**(-20849\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 749129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let h(y) = -2*y**2 + 4*y - 6. Let k(c) = h(c) - 4*r(c). Let g(b) = b**2 + 3. Let l(d) = -7*g(d) - 3*k(d). What is the derivative of l(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 12) in base 6?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-13)\/195). Let y(i) = i**2 - 5*i - 3. Let l be y(a). Let p be 195\/26*(-2)\/l. Solve -s - p = 0, -4*s - 17 = -2*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1294*h**3 + 584.\nAnswer: -3882*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 55, 122, 205, 298, 395?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 1, o: 4, w: 3, i: 3, d: 3}. Give prob of picking 3 w.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 328 (b) -2.5 (c) 23 (d) 0.5 (e) 0.3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-387)\/(-45) - -7)*(-100)\/(-6) is divided by 93?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 8 = 8*j. Suppose 4*a + 4 = -4*q, -7*q + 2*q + 4*a + 22 = 0. Solve 0 = d + q - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33118*f + 66233*f - 33114*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 7. Let a be (-1)\/2*(1 - o). Find the second derivative of -t**5 + 0*t + 2*t - t**a wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1655342865 to the nearest integer?\nAnswer: 40686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/616 and 25\/16745988.\nAnswer: 368411736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61134.\nAnswer: 2, 3, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229 + -107. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 21, 28, 35, 42, 49?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -825*b - 2526. Calculate r(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 22 + 82. What is the remainder when w is divided by ((-11)\/(-11))\/((-2)\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 2506267?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30*1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + b - 864, 5*j + 4*b = -152 - 4159. Let u = 899437\/6 - 149045. Let h = u + j. Calculate the common denominator of -91\/12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10831386 - 889184 = -230*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 2*x**2 + 4*x. Let m(n) = 5*n**3 - 3*n**2 - 5*n - 1. Let c be ((-2184)\/(-189) - 14) + (-8)\/(-18). Calculate c*m(f) - 3*k(f).\nAnswer: 2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3\/(-6))*-2. Let l be 1*(n - (5 - -2)). Let d = l + 12. Solve 0 = -o + d*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x - 2*x)*(-3 + 2 - 1) + 2 + 3*x - 2 + (x + 2*x - 4*x)*(1 + 3 - 1) + 2*x - 2*x - 3*x + 0*x - 5*x - 2*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*d = k + 19, 5*k - 10 = -3*d. Let q be (-3)\/15*k*4. Let u be ((-1)\/(-15))\/((-33)\/99). Which is the closest to q? (a) -0.5 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3. Let a(t) = -4*t + 1. Let z be a(1). Let o(k) = -k + 1. Let w(s) = z*o(s) + i(s). Suppose 22*n - 2 = -90. What is w(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 384 - 778 + 2271*a + 2938*a + 394 in the form u + c*a and give c.\nAnswer: 5209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5, -y - s = 2*s + 4. Let g(m) = -m**3 - 5*m**2 + 6*m - 10. List the prime factors of g(y).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v - 52. Let i = 55 - -24. Suppose 2*p + 0*p + 56 = -4*f, 5*f = 2*p - i. What is the tens digit of a(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1906 + 1908. Which is the third smallest value? (a) -1\/4 (b) p (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)\/(-1 + -1). Let q be -1 - ((v - 1) + -44). What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -70*d**4 - 15*d**3 + 80*d**2 + 15*d - 10 = 0.\nAnswer: -1, -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-4))\/(-10 + 10*(-21)\/(-20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3741 + -3740.99999652. What is s rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -293. Find the third derivative of -12*q**2 + 5*q**3 + 138*q**5 - k*q**5 - 2*q**3 wrt q.\nAnswer: 600*q**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/8)\/(24 - 13)*(-12)\/(-7). Determine g so that o*g + 4\/11 + 2\/11*g**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + 2. Let s(g) = 168*g**2 + 2*g + 5. Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {r: 3, g: 1, c: 3, j: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 613250*j**4 + 394121 wrt j.\nAnswer: 2453000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - h**2 + h. Let c be f(1). Suppose 0 = z + c*z + 12. Calculate the least common multiple of 23 and z*(-4 - (-20)\/12).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5528 by 4.\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -2*u + 9*o + 240, -3*u + 3*o + 357 = 0. Factor u*v - 1061*v**2 - 1019*v**2 - 3*v**4 + 3*v**3 + 54 + 2149*v**2.\nAnswer: -3*(v - 6)*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 2. What is the remainder when 37 is divided by -3*39\/s*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + k**2 + 2)*(2 + 2 - 1).\nAnswer: 3*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:03 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -1, 658 in ascending order.\nAnswer: -201, -1, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 11*x**2 - 14*x - 15. Determine d(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 - -22 - (5 - -2). Suppose 4*c - 5 = 2*i - i, 1 = -i. What are the prime factors of (158\/m)\/(c + (1 - 3))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-1 + 3*sqrt(11))) + 2*sqrt(11)*5.\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2060602 and 8?\nAnswer: 8242408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2*v - 3*r**2*z + 31454*r*v + 21604*v*z wrt z?\nAnswer: -3*r**2 + 21604*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22))**(-20) assuming f is positive.\nAnswer: f**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 22*h**2 + 119*h + 11. Let p(y) = 3*y**3 - 66*y**2 + 357*y + 31. Let l(i) = -4*p(i) + 11*r(i). Let s be l(12). Solve s*m - 3 = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p. Let g(s) = 8*s**2. What is o(g(i))?\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 + 110 - 4*s**2 - 29 to m*s + k + t*s**2 and give k.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l**2 - 235*l - 88. Determine x(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -10. Let -2\/9 - 2\/3*r - 2\/3*r**t - 2\/9*r**3 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241889 is divided by 620936?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118402, -118397, -118388, -118375, -118358?\nAnswer: -118337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {u: 3, a: 1, o: 2, t: 2, z: 3, p: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -361.717?\nAnswer: -358.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68083174*s + 119608653 wrt s.\nAnswer: -68083174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 31*x + 15. Does 24 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2114 + 2260?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 666.8134 millilitres?\nAnswer: 0.6668134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q)**(2\/5)*(q**(-11)*q*q)**(-3\/8) assuming q is positive.\nAnswer: q**(341\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 529 = -269 - 232 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/3))\/(d\/(d**(7\/2)*d)))\/(d**(-2)\/(d*d**8*d)) assuming d is positive.\nAnswer: d**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:46 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840*z - 916*z + 117344 = 0. What is the least common multiple of 40 and z?\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 - 60570631?\nAnswer: -60571596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50 - 357*l**5 - 210 - 3108*l**5 - 8*l**2 wrt l?\nAnswer: -207900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3 - 11 = -5*d, 0 = -2*z + 3*d - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(1\/10)))\/(i\/(i*i*i**(-4\/5))*i))\/(i**(1\/5)*i**(-4\/7)))**(-1\/8) assuming i is positive.\nAnswer: i**(107\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((375\/(-210))\/(-25))\/(2\/(-7)). Suppose 7*k = 2*k + p - 6, 3*k + 5*p = 2. Are k and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {p: 1, u: 5, y: 2, g: 2, v: 2, k: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**7\/105 - i**5\/30 + 8*i**2. What is the third derivative of u(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let q be 3\/(-3) - (r + -9). Let u(h) = h - 4. Let p be u(q). Let s(w) = w - 1. Calculate s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2\/3 - 139432*j + 2927876\/3 = 0?\nAnswer: 7, 104567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1 + 0\/(-3)). Suppose 5*a = -t*y + 19, -5*y - 25 = -2*a - 0*a. Suppose 0 = a*h - h - 192. What is the greatest common factor of 32 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -9) + 2 - 1. Let c(k) = -2. Let b(x) = -x - 4. Let a(i) = -2*b(i) + 5*c(i). What is a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.6. Let k = -95 - -100. Suppose -5*d = 3*x - 16, x = k*d - 3*x - 37. Which is the closest to -1\/5? (a) -1 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 567 + 9705. Let b = v + -17944\/7. Calculate the common denominator of 85\/8 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -18. Let p = 10655 + -10655. Let x = -56 - -279\/5. What is the nearest to p in -1\/2, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10911872 - 16118619. Let p = r + 3154747. What is p rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 0*h**3 - 3*h**3)*(-1 + 2 + 0)*(9 + 1 + 9) + (-h + 6*h**2 + h)*(3*h - 3*h - 2*h).\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5534111 != -5534111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -8. Is 27 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 - 6*w + 13. Let b be v(3). Suppose -1476 = -4*y - 4*u, -y - 30 + 424 = -b*u. What are the prime factors of y?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = r. Which is the closest to 0.4? (a) 5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 43 = -1 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 166?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 11*h + 2. Let r(i) = -6*i**2 + 12*i + 2. Let s(z) = 5*b(z) - 4*r(z). Calculate the smallest common multiple of s(6) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 - -227. Let r be 78\/(-52)*i\/((-3)\/2). Solve -2*u - 7 - r = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) + 16 + 0. Let z = x + -11. Suppose -47*p - 242*p + 1156 = 0. Solve z = -5*v - 2*h - 19, 4*v - p = 4*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 + 44588*h\/3 + 872256.\nAnswer: 4*(h + 59)*(h + 11088)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -827.161 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78, 363, 844, 1527, 2418, 3523, 4848, 6399?\n\"Answer: g**3 + 92*g**2 + 2*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.449 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 24*i**2 + 7*i + 2. Let q(d) = -24*d + 1041. Let m be q(43). Is c(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -234*s + 598. What are the prime factors of y(-5)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 58, -2, 0, 119, 5.\nAnswer: -2, 0, 1, 5, 58, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 85*y**2 - 116*y - 239. Calculate the common denominator of (-2)\/8 + 157\/20 and x(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Suppose -2*j - 5 = -3*b - 0*j, i*b - 18 = -3*j. Let x = 11 - 8. Is b greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0095965 to four decimal places.\nAnswer: 1.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 37 - 332. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/((-1)\/10). What is the third derivative of 5*r**4 + 2*r**4 + 2*r**2 - 5*r**d wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 11 = -39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/4911, -18, 2 in increasing order.\nAnswer: -18, -3, 4\/4911, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -32, -56, -96, -158, -248, -372?\n\"Answer: -s**3 + s**2 - 10*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -212. Let r = 537 - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1781, -1631, -1481, -1331, -1181?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 374 = 0. Let c be 15 + (-5)\/(10\/(-4)). What is the greatest common factor of u and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 340*j - 7. Let x(b) = 1361*b - 31. Give -9*u(o) + 2*x(o).\nAnswer: -338*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -112*j - 225. What is t(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1667197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 15) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -773107 * 4.\nAnswer: -3092428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g = -20*g - 198. Suppose 509 = g*q + 146. Suppose -3*z + 117 = 4*t, 5*t = -z + 41 + 97. Calculate the lowest common multiple of q and t.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + -3.34. Let o = 0.16 - s. Let w be ((-4)\/(-18) - 0)*-3. Which is the smallest value? (a) o (b) -1\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 3*u**4\/8 + u**3\/3 - 4*u**2. Let k be w(-9). Solve -g = -5*o + 7, -4*o = -k*g + 3*g - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/65)\/(17\/(-170)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 - w**4\/6 - w**3\/6 - w**2. Suppose -9 + 0 = 3*v. Let k be r(v). Are k and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8139133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 e when three letters picked without replacement from {z: 2, e: 3, l: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/14)\/((-76)\/(-266)))\/(-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -654, -1664, -3346, -5700, -8726?\n\"Answer: -336*b**2 - 2*b - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7308 and 5485284.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197421 = -4048*r + 5707*r for r.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27401\/25326 - 5\/469. Calculate the common denominator of s and 13\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 351 + -323. Calculate the common denominator of ((-282)\/k - 3) + 15 + -10 and 19\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c - 2 + 6*c + 4 + 1 + 2*c - 1 + (-4 - 1 - 1)*(18 - 7*c - 18) - 5*c + 7*c + 6*c.\nAnswer: 54*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160160309 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 376*k**2 - 1618*k + 381290?\nAnswer: 752*k - 1618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -765 - -764.9. What is the second biggest value in 1, -0.07, -0.4, s?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -21. Which is the second smallest value? (a) -0.5 (b) f (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 1. Let p be i(0). Suppose -7 = a - 5. Sort 0, p, a in decreasing order.\nAnswer: 0, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17816 - -17828. Do h and 1\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 2. Suppose -2*u - 8 = -2*q, 0 = -3*u + 4*u + 3. Let y(i) = i + 1. Determine q*f(z) - 2*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17*w**2 + 12*w**3 + 1797*w - 14*w**3 - 1780*w. Suppose -5*r + r = -5*o + 81, 5 = 5*r. Let d(q) = q**3 - 6*q**2 - 6*q. Give o*d(b) + 6*t(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/33 - 3\/((-33)\/1069) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/150*100)\/((-4)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20260, -20292, -20328, -20368, -20412, -20460, -20512?\n\"Answer: -2*v**2 - 26*v - 20232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let s = y + 1. Let a = -7.438 - -7.238. What is the smallest value in -1, s, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-4921190\nAnswer: 1968476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 66*b**3 + 3*b**2 + 196*b - 132.\nAnswer: -(b - 1)**2*(b + 2)*(b + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/8560240 and 13\/9560.\nAnswer: 2045897360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13383, -30665, -47947, -65229, -82511?\n\"Answer: -17282*o + 3899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212*w**4 - 15436*w**3 + 81777098?\nAnswer: 848*w**3 - 46308*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 36*m - 9. Let d be t(-18). Suppose 10*x - d = 5*x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.684 rounded to zero dps?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/36 - 347\/252. Let u = 141 + -276. What is the common denominator of x and u\/(-8)*6\/10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*p - 63 = 0. Let q(j) = 5*j**2 + 4*j - 23. List the prime factors of q(p).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318881711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -2 (b) 2\/8471 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020120200221 + 0?\nAnswer: -1020120200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = h, -18 + 28 = 2*h. Suppose -4*k + 0*g - 4*g = -1072, -v*k + 792 = -3*g. What are the prime factors of k?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78272, 78078, 77884, 77690, 77496, 77302?\n\"Answer: -194*p + 78466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 = -2*c - 9, 3*c + 13 = 5*v. Suppose 0 = -5*w + 5 + 5. Suppose -w*k + 9 = k. Solve -4*u = v*l - 15, 4*u - 5*l = k*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0499 minus 32398814649?\nAnswer: -32398814648.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 22 - 25 + 2*n**3 - 6*n**3 - 2*n**3 in the form j + u*n**3 + t*n**2 + s*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 - 27 = 2*u, -4*d + 2*u + 40 = 0. Let s = 13 - d. Suppose -s*r = 4*l + 5, 3 = r + 2*l + 8. Solve -2*n + 23 = -0*n - r*x, -5*n + x = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -29, -40, -49, -56, -61?\n\"Answer: h**2 - 16*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-111))\/((-6)\/54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.3. Let z = -3.60181 + 2.60181. Put z, c, -3, 13 in descending order.\nAnswer: 13, c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9069 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917 is divided by 369.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2 - 6 + 2)*(3*a**2 - 5*a**2 + 4*a**2) - 6*a**2 - 3*a**2 - 3*a**2 + a.\nAnswer: -8*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/3 + 11. Let h = -51 - -409\/8. Suppose -4*q + 22 = 2*j, -3*q - 6 = -5*j + 2*j. What is the nearest to k in j, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 93750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 49\/3. Suppose 3*o + l = o. Let d = -4 - o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 58*h + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 46*m**2 - 2*m + 2. Does 10 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92545 is divided by 7100?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 - -7) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 2*s**2 - 4*s - 3. Let u be n(-2). Differentiate u*j**3 - j**3 + 1 - j**3 wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - (-15)\/(-12). Suppose 30 + 370 = -5*n. Let z = -481\/6 - n. Put f, z, -0.3 in ascending order.\nAnswer: -0.3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 694*z - 1980 = 698*z, -1220 = -3*t - 4*z. Calculate the remainder when t is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 14*p + 57. Let j be u(-16). Let q be (24\/(-18))\/(-3 + j\/9). What is the greatest common factor of 162 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 + 1.6. Suppose 129 = -149*u + 106*u. Which is the closest to z? (a) u (b) 1 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*1\/(-6))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*j - 1442741 + 342876. Suppose -7*v + j = -4*v - 4*a, 3*v = -3*a + 16914. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**10*w)\/w)\/(w*w**10))**(-3\/20) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*-22 - (2 - 0). What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14100 + ((-98)\/(-42))\/((-2)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u + 380 = -25. Let s(o) = -o**3 + 16*o**2 - 13*o - 26. Let j be s(15). Solve u*v - 22 = t + 7, j*v = -3*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(3 + 0 - 6)*(-2*y**5 + 5*y**5 - y**5).\nAnswer: -18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216908 is divided by 163.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 + 7*f - 2. Let v be g(-4). Suppose 0 = v*r - 3 - 3. Solve -h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*r - 3*h, -r - 6*h + 9*h - 14 = 0. Let o be (-3)\/((-30)\/4)*(-195)\/(-78). Calculate the greatest common factor of r and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721*o**4 + 74661*o**2 - 548380*o - 577 wrt o.\nAnswer: -8652*o**2 + 149322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19692 plus -0.3?\nAnswer: 19691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 315 in descending order.\nAnswer: 315, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13937, -31381, -52329, -76781, -104737, -136197, -171161?\n\"Answer: -1752*i**2 - 12188*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1985 = 1230. Suppose 0 = -2*d + 3*d - 5, r = 4*f + 3*d. Let m = f + 13. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -504396.864130331 + -3.\nAnswer: -504399.864130331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 15*q + 9. Let s(o) = o**2 + 7*o + 4. Calculate 4*c(l) - 9*s(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x)**47\/(x*x**(-4\/9)\/x*x**(2\/9)) assuming x is positive.\nAnswer: x**(331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**7\/840 + z**6\/60 - z**5\/10 + z**4\/12 + 3*z. Let h(k) be the third derivative of c(k). Suppose h(a) = 0. What is a?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 6109?\nAnswer: 6109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 + 47*o**4 - 337*o**3 - 2103*o**2 - 846*o + 3240 = 0. What is o?\nAnswer: -3, -2, 1, 15, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39841.5 (b) -0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4907612 by -5.\nAnswer: 4907612\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 2845*q**2\/2 + 84675*q - 1266750.\nAnswer: (q - 5630)*(q - 30)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 88a?\nAnswer: 88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -4, 3\/13?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 931\/18 + -103\/2. Suppose 5 = -51*i + 46*i. Are i and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**26)\/(i\/((i\/(i\/(i\/i**10*i)))\/i*i)*i))\/((i*i**15)\/i*i*i\/((i**(-1\/21)\/i*i)\/i)))**(-4) assuming i is positive.\nAnswer: i**(4456\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -398, -800, -1196, -1580, -1946, -2288, -2600?\n\"Answer: p**3 - 3*p**2 - 400*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 157920*c - 1558670400.\nAnswer: -4*(c + 19740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40045188 divided by -61419\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, and 1 m when three letters picked without replacement from dmddxdxemeew.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(20) + 1 - (sqrt(20) + sqrt(5) + -5))**2 + -4 + -5.\nAnswer: -12*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 45*u + 4. Suppose 2*r = -3*w + 175, 3*w + 4*r - 84 - 101 = 0. What is the remainder when f(6) is divided by w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -213, -857, -2135, -4257?\nAnswer: -7433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4269 + 4289.09. Let r = -20 + o. Let a = r + -0.59. What is the smallest value in 0.5, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15804708 divided by -6?\nAnswer: 2634118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, -1\/413, -12, -3\/2 in increasing order.\nAnswer: -12, -3, -3\/2, -1\/413, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Solve n - y*p = -4*n + 1, 3*p = n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3b501?\nAnswer: 3b4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**5\/180 - 7*n**4\/108 - 2*n**3\/9 + 58*n + 213. Let w(s) be the first derivative of z(s). Determine l so that w(l) = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1193898, -2387780, -3581646, -4775490, -5969306?\n\"Answer: u**3 + 2*u**2 - 1193895*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-8 - (-6 - -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 2028*f + 12276.\nAnswer: -3*(f - 6)*(f + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112321, -224640, -336959?\n\"Answer: -112319*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 478834595 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4\/7 - 772*f**3\/7 - 12580*f**2 - 1383644*f\/7 - 1296360\/7 = 0.\nAnswer: -65, -18, -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/15 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46640 and 61072.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k*k**(-2\/9)*k assuming k is positive.\nAnswer: k**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -104, 39 in increasing order.\nAnswer: -104, -14, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a - 22822 = 2*a - 538406. Does 41 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Let p = 2 + y. What is the derivative of -3 - 2*t**p + t - t + 4 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50463 and 24.\nAnswer: 403704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -72, -0.1, 5, -0.3, -311\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 29. Let t be (-10)\/4*24\/(-20). What is the second derivative of -6*b**2 + g*b + t*b**2 + 0*b**2 - 6*b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 87*u + 1750. Determine i(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3976910\nAnswer: -3976906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 15) in base 16?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13953 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, l: 1, g: 1, a: 2, b: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16178643 divided by 3.\nAnswer: 5392881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0610011957 + 499.0606841957. Let n = y - 499. Round n to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7239922?\nAnswer: 2, 3619961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3*m**2 + 1\/2*m**3 + m + 1\/12*m**4 + 0. Let s(o) = o**2 + 2*o - 4. What is -7*s(r) + 5*w(r)?\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107.4 or -2\/3?\nAnswer: -107.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*n**3 - 3)*(2 - n**2 - 2) + (53 - 53 - n)*(n**4 + n**4 - 3*n**4) + (-103*n**3 - 23121 + 23121)*(2*n**2 + 0*n**2 - n**2).\nAnswer: -100*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/70389, 32, -0.114, 3.\nAnswer: -0.114, 1\/70389, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 10*v + 7. Let t be q(11). Let h = 7 - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3941 (base 14) to base 7.\nAnswer: 41211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c + 2*c**4 + (-c**3 + c**4 + c**3)*(5 - 4 + 0) + 3 - 3 + c**4 - 2*c**4 - c**2 + c**2 - 3*c**4 + 5*c**4 - c**4 + 4 + 16 + 127*c**4 - 18.\nAnswer: 130*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 15 + 12 = 0. Suppose 0 = -k - j*k + 176. What is the lowest common multiple of 6 and (-2 - -1)*k\/(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 - 2. What is v(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7269 + -4670. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505042538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -37. Let s(b) = -b**3 - 2*b - 5. Let x be s(c). Calculate the highest common divisor of x and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgg when three letters picked without replacement from ggbgbggbbbbbbbbbbg.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1970.3 - 1971. Which is the third smallest value? (a) 0.3 (b) h (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w**3 + 36*w**2 - 1302*w - 12. Let m(y) = -18*y**3 + 36*y**2 - 1302*y - 10. Let f(g) = 6*m(g) - 5*r(g). Find the second derivative of f(q) wrt q.\nAnswer: -48*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 9*d + 9. Let u be h(8). Sort 5, 2, u in ascending order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 5. What is t(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a. Let u be g(2). Suppose 3*b - 27 = -3*i - 0, 4*i - 35 = -3*b. Solve u*h = -v, -i = -2*h - 2*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-21))\/((-2)\/42). Let z = 0 + y. Solve -3*b + 2*p + 2*p = 28, -2*b + 5*p - z = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -15 - (9 - (25 - 14)) - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2821*t**5 - 7*t + 76 wrt t?\nAnswer: 56420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1017?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 0.6. Let l be (-3)\/9 + (-28)\/6. Let n be (-2 - 0)*2 - -1. Which is the closest to g? (a) l (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) 3\/7 (c) 0.041 (d) -0.1 (e) 2054\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -3. Suppose -b = -1 - 2, 5*o = b + a. Let c = -1 + o. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5*c**9\/252 + c**8\/24 + 11*c**5\/20 - c**4\/6 - 297*c**2. Find the third derivative of o(j) wrt j.\nAnswer: 1200*j**3 + 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -4, 2, 8462568 in descending order.\nAnswer: 8462568, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1900 in 1, -74, -64?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046859 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*n**3*u - 27*h*u - 440*h - 138*n**3 + n**2*u - 34*n*u wrt h.\nAnswer: 2*n**3*u - 27*u - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11494 - -11496. Sort c, -64, 2\/7, 0.1 in increasing order.\nAnswer: -64, 0.1, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -5, -995976 in decreasing order.\nAnswer: 4, 3, 2, -5, -995976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -2*v**6 + v**5\/10 + 109*v**2\/2 + 159*v. Find the first derivative of r(h) wrt h.\nAnswer: -240*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*9\/252 + (-19)\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16445279.\nAnswer: 19, 37, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Suppose -18*h + 14*h - 3*j + 55 = 0, h + 5*j = 69. Which is the second smallest value? (a) 5 (b) h (c) -8 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 41. Suppose -2*f + 190 = -0*f. Suppose c - 3*p + f = 5*c, -2*c + 60 = 4*p. Calculate the smallest common multiple of c and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 - 7*i**3\/3 - 3*i**2 + 4*i - 7. Suppose 2*d = 2*w + 6*d + 32, -3*w = -2*d + 8. What is g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -608*r + 5. Is w(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187851248 by -31408.\nAnswer: 5981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.24 and -727923048858?\nAnswer: 727923048858.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - r)*((8 + 0 + 2)*(-1 + 4 - 1) + (7 + 10 + 2)*(9 - 2 + 8)) as i + p*r and give p.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 215018, 1\/16, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from iifigiggggiijiij?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1 + 33*f + 0 - 32*f. Let y(t) = -t. Let x be y(-4). Calculate g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.7 (b) 85 (c) 2\/5 (d) 3 (e) -2 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15580 minus -290640754?\nAnswer: 290656334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -0*y, h = -2*y + 8. Suppose 4*a - h - 6 = 0. Suppose 9 + 0 = a*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 3. Let q(j) = 11*j + 6. Let c(f) = -5*b(f) - 2*q(f). What are the prime factors of c(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 16, z: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3439 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a = 201 + 539 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85470547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 20896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(3*sqrt(76) + -4 + sqrt(76))*5*-6)**2.\nAnswer: -921600*sqrt(19) + 17740800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2489\/133 - (-355)\/(-497).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - a)*(-7*a**2 + 19*a**2 - 8*a**2) + 2 + 4*a - 3*a**3 - 4*a + a**2 to the form j*a**2 + m*a + w*a**3 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 - -61. Let t = 31 + m. Find the second derivative of t*r**2 - 13*r - 6 + 12*r**2 + 6 wrt r.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 9. Let j be 44\/(-33)*(-9)\/(-2). Does 9 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + k + 7, 2*k + 3 = r - 0*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 41*l**2 - 21*l + 1. Is s(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 - (4\/3)\/((-12)\/18) and 255?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*i**3*w**4 - 15*i**3 + 4*i**2*w**4 + 5*i*w**2 wrt w.\nAnswer: -1032*i**3*w + 96*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*k + 554*k + 48 = 1102*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83, -82, -85, -98, -127?\n\"Answer: -j**3 + 4*j**2 - 4*j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldie when four letters picked without replacement from sldllieli.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 134. Let p = -8850 + 8833. Give s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167897221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Solve -g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-2\/9))\/v)*v)\/v**(-2\/17))\/(v**(-2\/25))**29 assuming v is positive.\nAnswer: v**(17824\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 + l**2 + l. Let k be n(-1). Let a = 20 - 24. Let r = a + k. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*j = 20, -9 = -5*g - 2*j + 34. Suppose -2*t + g = -3. Suppose 0 = w - t*w - 23200000. Round w to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1077 + 0*i - 764*i**5 - 2674*i**5 - 249 + 3*i - 4*i wrt i?\nAnswer: -68760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 319*w + 2760. What is n(-7)?\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c + b + 12, -4*c = -3*b + 48. Are -9 and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -15. Suppose -v*h + 4 = -2. Suppose 5*j - 2*s = 84, 26 = 2*j + 4*s + h. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*j - 12, 0 = -5*j - 0*j - 3*f + 22. Suppose -v = m + 1, -1 - 4 = j*v + m. Is -2 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 40*b**2 - 12*b + 2. Let j be t(-5). What is the greatest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/149346632 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 44, 81, 118, 149, 168, 169, 146?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269897, -269896, -269893, -269888, -269881, -269872?\nAnswer: -269861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0 - 3) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 9*b**3 + 22*b**3 + 10*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 51251 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16649\/5 - -3330. Which is the biggest value? (a) -2\/823 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q. Let g(t) be the third derivative of 665*t**4\/12 - 35*t**2 + 75*t. What is p(g(v))?\nAnswer: 6650*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*h - 563*h + 1184*h.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, o: 1, v: 7, i: 2, e: 3}. Give prob of sequence et.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 20*m + 14*m - 38*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 315527147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1422)\/1185*(-625)\/8)\/(9\/294). Suppose -5\/2*d**2 - 175*d - z = 0. Calculate d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16372 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + c?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 4, g: 4, x: 1, s: 6, u: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 122\/51, -0.4, 9.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j. Let l(n) = n**3 - 11*n**2 + 9*n + 11. Let o be l(10). What is z(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 376 = -v + 121, i + 2*v = -123. Let d = -125 - i. Suppose -8 = d*x + 4*a, 5*x = -3*a - a - 5. Solve -x*c + 6*c = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - 45 - (2 - (-14 + 93))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, 5, 0, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19705?\nAnswer: 5, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-64)\/864)\/((-13)\/3 - -4). Let d = 6 + -61\/10. Which is the closest to -3\/2? (a) -1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175360 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54646019*s - 19*s**2 - 54646019*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**3 + h**3 - h - 4*h**3 + (5 - 5 + h + 1)*(14223 - 14223 - 509*h**2) in the form x*h**3 + o*h + s*h**2 + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -5\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:42 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335 and 603?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-14 - (-13 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 equal to -16560576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 426 + -421. What is the smallest value in -0.5, t, 89?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 0, 2*r + 6 = -0*r + 2*v. Solve -4*d + 5*n - 32 = 0, -4*d - n = -r*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llkl when four letters picked without replacement from plkplllpkgkkklklkk.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100100000 - -100000110?\nAnswer: -1010000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-3)\/(-7 + 4)). Let t be (72\/4)\/a + 3. Is 15 a factor of 3 - (t + -12 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -1. Let z be x\/8 - (-1)\/4. Suppose z = -2*n + 4 - 2, 0 = r - 2*n - 19. What is the remainder when r is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 2*b + 4. Let n be u(-3). Suppose 76*k + 54 = 78*k. Let y = k - 27. Put n, y, -5 in descending order.\nAnswer: n, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1701726998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-45)*2\/(-24)*18.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t. Suppose t*b + 15 = 5*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/403 (b) -94 (c) -4\/5 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v**(-1\/20)*v*(v\/(v*v*v**(-2\/17))*v)\/(v*v*v**(4\/7)))**(-4\/11) assuming v is positive.\nAnswer: v**(-8321\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/3 (b) 0.5 (c) -9 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301233 + 3?\nAnswer: -1301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z + 45*z = -259*z + 1540 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13298687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 4*x**2 - 3*x + 22. Let f(q) = -q. What is h(f(s))?\nAnswer: -8*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 11*l**2 - 5*l + 7. Let z be j(-5). Let f = 48 - 46. Solve i + 7 = f*u, 8 = 5*u - 5*i - z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -735*m - 748 - 105 - 101 - 623*m wrt m?\nAnswer: -1358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 9\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + k**2 + 1 - 12*k**3 + 0 to x*k + v + f*k**2 + s*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + 4*v - 6*v - 3*v - 6 - 5*v**2.\nAnswer: -5*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 1 - v**4 + 6*v**2 - v - 201*v**3 + 200*v**3 to a + i*v + x*v**4 + h*v**2 + r*v**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246217258.\nAnswer: 2, 11, 13, 19, 79, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368308947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1980, -1986, -1988, -1986, -1980, -1970, -1956?\n\"Answer: 2*u**2 - 12*u - 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 16. What is the highest common divisor of 24 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 1, w: 1, g: 1, k: 1, z: 2, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-45) - 1)\/(-391 - -385)*6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.42 and 339.\nAnswer: 142.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*(z\/(z*z**(-2\/11)*z))\/z*(z\/(z*z**4))\/z**6*z**3\/z**(-1\/2)*(z**(1\/3))**(-27) assuming z is positive.\nAnswer: z**(-1949\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 253*m**2 + 249*m**2 + 3*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 2340.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 - 3*g + 3*g)*(-8607*g + 2547 - 2547) as d*g**4 + v*g**2 + n*g**3 + f + i*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 166 = 4*v, -3*v - 5*h + 112 = 20. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 417996 and 2040.\nAnswer: 4179960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -23.1. Let m = -2.100035 - u. What is m rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19662 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:29 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13*f = -529200. What is f rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 2678*j**3\/3 - j**2\/2 - 18*j + 1212. Find the second derivative of x(q) wrt q.\nAnswer: 5356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.85 + 5. Let j = -37.85 - -36. Let s = v - j. Which is the smallest value? (a) 1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:05 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -154. Let o = y - -43.9. Let l = o + -2.9. Which is the nearest to -0.2? (a) -5 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7146000 by 178650.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(0*d - 4*d + 2*d + 5*d - d - d - 4*d + 2 - 2 + (3 + 0 - 4)*(0*d + d + 0*d))*(1 - 2 + 2).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81122479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44774 <= 44774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*i + 728 = -158*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103768544 + -11.\nAnswer: -103768555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) - (sqrt(3645)*-2 + -4))**2 + -5 - 2*(-5 + -5 + (sqrt(80)*2)**2).\nAnswer: 648*sqrt(5) + 32196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24078)\/(-63) - 3)\/(12\/(-14)). Let h = d - -435. Let s = -4838\/285 - 34\/95. What is the common denominator of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/1463 and -68\/632643?\nAnswer: 4428501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 5*s**4\/12 + 4*s**2. Let d(w) = w**2. Determine d(m(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/5 - 4*u**3\/5 - u**2\/5 + 4*u\/5 = 0. Calculate u.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 24401?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170941612?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 174*h**2 + 94*h - 6. What are the prime factors of g(-4)?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245 - -248. Suppose 5*g - 145 = -35. Let c be 6\/27*1 + g\/63. Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l + 2*l + 4*l + 10*l. Let k(c) = 2*c. Let g(p) = p. Let j(o) = -5*g(o) + 5*k(o). Give j(v(f)).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(10\/9))\/(v*v\/((v\/((v*v\/v**(-7\/6))\/v))\/v)*v))**(-2\/5)*v**6*v**(2\/9)*(v*v\/(((v**(-2\/5)*v)\/v)\/v)*v)**34 assuming v is positive.\nAnswer: v**(2369\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:56 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003713284 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*n - 22 = 0, -5*j = 2*n + 3*n + 10. Suppose -3*i - 3*o - 27 = -0*i, i + j*o + 14 = 0. Are i and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (216\/(-10))\/((20\/125)\/(-4)) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**2 - s**3 + 103*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133760 and 24?\nAnswer: 401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 19. Let t = -5455\/17 - -321. Which is the closest to -1\/3? (a) t (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 14 = 0. Suppose -5 = -2*x + 11. Let u = x + 14. Calculate the least common multiple of u and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1070834, 2141660, 3212486, 4283312?\n\"Answer: 1070826*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.4399 + 4.56023. Let y = 20 - m. What is y rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 18. Sort k, -5, -2 in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 9*s = 13. Suppose -3*g = -s + 22. Let w(a) = -a**3 + 2*a**2 + a + 2. Let i be w(3). Sort g, i, 0, -1 in increasing order.\nAnswer: i, g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 931.053 + -2.053. Let m = 929.00000211 - c. Round m to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7371436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 63, 114, 171, 234, 303, 378?\n\"Answer: 3*t**2 + 36*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221 - -220.9991575. Round l to 5 decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5055, 5098, 5177, 5298, 5467, 5690?\n\"Answer: y**3 + 12*y**2 + 5042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2486895\/26 or -95649?\nAnswer: -2486895\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2324 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -94*n**2 - 31. Let m(a) = -a**2. Determine d(m(g)).\nAnswer: -94*g**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -27, -57, -99, -153, -219, -297?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617 - 939 = -174*r + 228 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 5*k**3 - 15*k**2 + 25*k - 10.\nAnswer: 5*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325622262 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from xgxgggggggxxggxggg.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58508.002 - 58402. Round x to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:56 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 10*q**2 - 21*q + 4. Let b be s(6). Calculate the greatest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2727, 5451, 8147, 10803, 13407, 15947?\nAnswer: 18411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a\/(a*a\/((a*(a*a\/(a\/a**10))\/a*a)\/a)))\/a*a)\/a)**(-4\/19))**(-3\/32))**1 assuming a is positive.\nAnswer: a**(15\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7746173.\nAnswer: 7746173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5 + 196 = -187. Which is smaller: h or -85\/2?\nAnswer: -85\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 5*k**2 - 21*k - 95. Let u be (-61)\/(-7) + 2\/7. What is the remainder when b(u) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/7 and (0 - 41\/(-6)) + 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 2*q + 1. Let v be a(2). Suppose -y - 12 = -5*y. What is the third derivative of -2*k**v + y*k**2 + 2*k**5 + 2*k**5 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4077*w**2 + 5. Let n(t) = 4*t + 33. Calculate n(o(r)).\nAnswer: -16308*r**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11066, 22133, 33194, 44249, 55298, 66341, 77378?\nAnswer: 88409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21372? (a) 10 (b) -3\/5 (c) 0.5 (d) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -19*t - 14. Let x(n) = 10*n + 7. Let r(p) = -3*w(p) - 5*x(p). List the prime factors of r(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i - 2. Let k(g) = 44*g - 5. Calculate -3*k(s) + 8*v(s).\nAnswer: -12*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -93.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 2\/11 in decreasing order.\nAnswer: 3, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 221, -5, 2\/3, 3 in decreasing order.\nAnswer: 221, 3, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*i**5 + 76120*i**3*p**3 - 42148*i**2*p + 6*p**3 wrt i?\nAnswer: -2280*i**2 + 456720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let n be -1*(-4 - -1)*i. Let d = 12 + n. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365 by 73.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhok. Give prob of sequence khh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 8*v + 4. Suppose f + 4*k = -3 + 24, -f + 2*k - 3 = 0. Let w(l) = -l + 10. Let r be w(f). Determine a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:12 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/9, 1, -15, -2\/11 in increasing order.\nAnswer: -15, -2\/11, -1\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13267587 to the power of 1\/2, to the nearest integer?\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - -4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 7 - -9 - (3 + -30)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -263*f + 548*f + 2088 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*h**2 - 28*h - 28*h**2 - 742*h**2 + 28*h.\nAnswer: -1355*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from dpvdvwrvxwrv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -453, -1067, -1685, -2307, -2933, -3563?\n\"Answer: -2*c**2 - 608*c + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 10*w. Let o(c) = c**2 - 10*c. Let j(s) = k(s) + o(s). Let x(n) = -13*n + 5. What is x(j(y))?\nAnswer: -78*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 117 = 2*m. Let i = -152 + m. Let u be (1\/2)\/((i\/56)\/(-5)). Solve -w + 2*f = 7, u = -w + 6*w + 3*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t + 409. Give w(-51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 11*z**5\/20 - z**4\/4 - z**3\/3 + 2*z**2 - 62*z + 1. What is the remainder when 58 is divided by r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + -93. Suppose n + 2 = c*q, q = -2*n - n + 59. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/6 + g**3\/2 - g**2\/2 - 3. Let z(x) be the second derivative of k(x). Let a be (-4)\/14 - (-368)\/112. Give z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 291628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 + f - 3. Let b be 26\/8 - 3\/12. Let v(s) = s - 14*s + 11 + 6 - 15*s**2 - s**b. Let r be v(-14). Give k(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(45) - sqrt(5))*5)**2.\nAnswer: 24500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/168 - (-47)\/40. What is the smallest value in -1, -27, m, 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:18 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -151, -292, -437, -592, -763, -956, -1177?\n\"Answer: -i**3 + 4*i**2 - 146*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) -1.44 (d) 269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/4 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)**31\/(u\/(u*u*u**(-1)))**16)**(-50))**(-49) assuming u is positive.\nAnswer: u**75950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}