diff --git "a/data/dm_maths/full_data_1/2473_11255.jsonl" "b/data/dm_maths/full_data_1/2473_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2473_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -165*r + 388907 = 104*r - 5310127. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (-615)\/(-287).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -d - 0*n + 50, 3*d + 3*n = 120. Let a = 48 - d. Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2702*s + 3*s**2 - 19601 - 350*s + 19599 in the form m + o*s**2 + x*s and give x.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 54 - 70 = 3*k, 0 = 2*k - 5*p + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1164.\nAnswer: 1\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) 16 (b) -3 (c) 5\/136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-3)\/((-7)\/((-280)\/(-24))). Suppose y = -u*q + 4*q + 104, 0 = -3*y - 9. Let p = 141 - q. Calculate the greatest common divisor of 51 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.048, -8, -0.3, 4, -1 in increasing order.\nAnswer: -8, -1, -0.3, 0.048, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64726 is divided by 64410.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrv when three letters picked without replacement from mvsmvvvmrvrmmvsrvvr.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2*4 + sqrt(88) + sqrt(88))\/sqrt(8) + ((sqrt(11)*1 + 2)*2)**2.\nAnswer: 10*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5740859*j**2*q**2 + 56*j*q**2 - j + 2*q**2 + 563*q - 1 wrt j?\nAnswer: 11481718*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663272?\nAnswer: 2, 17, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/33))**(2\/93) assuming l is positive.\nAnswer: l**(64\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-40))\/(1\/(-8)). Suppose -y*s + 4*s = 4. Let v be (1\/(-2))\/((-2)\/(-4)). Sort v, s, 0 in descending order.\nAnswer: 0, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**7\/840 + t**6\/60 + t**4\/4 + 2*t**3\/3 + 6*t - 87. Let n(b) be the third derivative of c(b). Give n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 take away 732?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28693012?\nAnswer: 2, 1283, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -102?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 16665*n - 7116140.\nAnswer: 5*(n - 383)*(n + 3716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 1 + 5*m + 29*m**2 - m. Suppose 0 = 14*u - 71 + 57. Calculate the remainder when o(u) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (798\/(-8))\/(2\/(-9 - -1)).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = 4*r + 3*i, -r - 6 = 3*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (0 + -1) - 7) + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/5 + 37*q**4 - 8272*q**3\/5 - 26504*q**2\/5 - 752*q\/5 + 35344\/5 = 0.\nAnswer: -2, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32250 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-27274)\/(-20))\/1. Let p = -1364 - d. Find the common denominator of p and (-334)\/(-252) + 1*6\/21.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 + 4*g - 4. Let u be l(-8). What is the third derivative of 6*w**5 - 3*w - u*w**2 + 3*w + 3*w**5 wrt w?\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - z**3 + 2*z**3)*(5 + 1 - 5) + 4*z - 4*z + 5*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1606 divided by 6.\nAnswer: -803\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 321, 322, 315, 294, 253?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1\/18, 24, -0.25443?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 20. Suppose 21 = 3*s + m + d, -4*s + 3*m + 30 = 0. Calculate the least common multiple of 4 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -5 - -38) + 0. What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Suppose -r*p + 6*p = 3. Solve -3 = p*f + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2)\/(-1)*(-6)\/144.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*u = 5*u - 7, -3*b = -5*u - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 31*o**2 + 51*o + 56. Let c be x(29). What is the units digit of 7736\/12 + (-28)\/c*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-231)\/(-22))*429\/11)\/(-14*2)?\nAnswer: 13\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/84*4 - (2720\/(-35))\/(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -541*-45\nAnswer: 24345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/125)\/(4\/20))\/((-12)\/15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z - 1. Let m = 25510 + -25505. Let r(l) = -9*l**3 - l**2 - 5*l + 5. Give m*p(o) + r(o).\nAnswer: -4*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*r - 324 - 268 - 409 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(sqrt(10) - -2*sqrt(810))\/((sqrt(60)*1)\/sqrt(12) + sqrt(5)))**2.\nAnswer: -228*sqrt(2) + 2897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohaozhzbzozovz. What is prob of sequence oz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 - 1176761\nAnswer: -1176751.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 90. Let r(b) = -b + 181. Let t(x) = 2*r(x) + 5*s(x). Find the first derivative of t(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40833 = 3*c + 3*d, 3*c - 61246 = d. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 14*h**2 + 19*h + 20. Let k be u(-15). Let g be 15\/k + (-957)\/8. Let j = g + 192. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29508552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(0 - 1)*-10. Let u = r - 14. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46427 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7955, -10237, -12519, -14801, -17083?\n\"Answer: -2282*d - 5673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*(-4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -427\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**5\/21 - 10*y**4\/7 - 30*y**3\/7 + 50*y**2\/3 + 160*y\/7 - 408\/7 = 0.\nAnswer: -3, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e13 - -2701?\nAnswer: 3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*v - 28, -20 = -v + 3*s - 0*s. Suppose 13*r - 2155 = v*r. What are the prime factors of r?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 47*x**2 + 120*x - 767. Let w be y(49). Solve 292*q = w*q + 38 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001311461 to 7 dps.\nAnswer: -0.0001311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000443028 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 18887, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4308, 8811, 13306, 17793, 22272?\n\"Answer: -4*y**2 + 4515*y - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from aqqeaaahayayyya?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(-3*3\/54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*o + 41 = 0, -3*s = -6*o + o - 57. Let b = -11 + s. Does 37 divide (347\/b)\/((-10)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + s + 2*s - 6, -2*s = -3*c + 15. Calculate the remainder when 22 is divided by (8 - (-4 + c)) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 - 40\/(-40). Let d(l) be the third derivative of 14*l**2 + 1\/60*l**5 + 0 + 0*l + 7\/24*l**s - 1\/3*l**3. Determine d(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11193?\nAnswer: 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 12*s**2 - 12*s + 14. Let w be c(11). Suppose q - 2*x = 6*q + w, x = -4. What is the nearest to 0.3 in 0.2, q, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 5:49 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 400 in 2, 0.1, 20, 0, 3\/64?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -13966?\nAnswer: 13968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 + 0.1. Let i = -70 + 70. Let m = 0.5 + i. Which is the third smallest value? (a) m (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6\/(-6)*-10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5 + 4. Let b(s) = 2*s**2 - 4*s**3 - 3*s**2 - s**3. Is b(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489956 (base 12) to base 5\nAnswer: 300200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1101010010101110010110100?\nAnswer: -1101010010101110010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(-9)\/3. Which is the smallest value? (a) -5 (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -6 (b) 5\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -378, 2499?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 2*x**2 + 2*x - 2. Let w(b) = -b**3 - b**2. Calculate -n(t) - 3*w(t).\nAnswer: t**3 + t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194766 greater than 3194762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*sqrt(192)*1 - (sqrt(192) + (-3 + 1 + sqrt(192))**2) - (-1 + (-1*sqrt(192))**2 + 2)).\nAnswer: -386 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 832508.6kg?\nAnswer: 832.5086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*y - 1610 = 76*y. Let d = y + 426. What is the highest common factor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.011 - 11.111. Let a = -11 - l. Which is greater: a or -1.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1349, 1338, 1321, 1298, 1269, 1234?\n\"Answer: -3*i**2 - 2*i + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 1, s: 1, h: 1, p: 3}. What is prob of sequence mppp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137748 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6507 divided by -2169\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10380 - 4?\nAnswer: -10384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9959 - 9957. Let x(f) be the first derivative of -9*f - 1\/3*f**3 - 9\/2*f**l + 18. What is x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 34 = w, f - 10*w + 7*w + 6 = 0. Solve -4*r - 3*z - 13 = 0, -5*r + f*z - 5*z - 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:41 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:16 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8.5. Let i = q - 6.7. What is the nearest to 1\/4 in -0.1, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-29081)\/(-9) + (-40)\/180)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(19\/(171\/(-6)))\/((-6)\/9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, 125153, -0.023 in increasing order.\nAnswer: -3\/13, -0.023, 125153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44190654 by 222.\nAnswer: 199057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.15129 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135995 by 13.\nAnswer: 135995\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57819 is divided by 127?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676830 divided by -3?\nAnswer: -2676830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316540430 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.228002 years in months?\nAnswer: 74.736024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93053 divided by 2?\nAnswer: 93053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5266, 5284, 5302, 5320, 5338, 5356?\nAnswer: 5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.069 - 1.079. Round h to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106099, -212223, -318349, -424477, -530607, -636739?\nAnswer: -742873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(875) - (sqrt(875) + 6*(sqrt(875) - sqrt(875)*1))) + sqrt(875) + sqrt(875) + sqrt(875) + sqrt(875))\/(sqrt(80)\/(sqrt(4)*-1)) + -1)**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i - 2. Calculate y(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -43 - 42 - (-5 + -1 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -3)\/(1 - 0). Let g(u) = u**3 - 23*u**2 + u - 18. Let y be g(23). Is y greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6 + (-4)\/6. Suppose 5*u = -2*i - 3*i - 10, -4*i - 2 = -k*u. Let x = 1\/23 + 21\/46. What is the third biggest value in -1\/2, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(4\/17)*o**21 assuming o is positive.\nAnswer: o**(370\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*h + 3*h - 25 = 0, -2*q = -4*h - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -803, -818, -839, -866, -899, -938?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-9)\/(135\/2)). Let z = 35 + a. Calculate the smallest common multiple of 4 and (z\/1)\/4 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1496*t**4 - 6210*t**3 - 80722423.\nAnswer: -5984*t**3 - 18630*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661 + 1322 - 661 + 256*q.\nAnswer: 256*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86450152?\nAnswer: 2, 19, 568751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11*c + 3256 = 0. Let b = -268 - c. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 345245*v**2 - 7937990*v = 0.\nAnswer: -69026, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 3*t)*(3*t - 2*t - 4*t) + 2 + 6 + 328*t**2 + 28*t**2 - 8.\nAnswer: 362*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*j - 38*j - j**3 - 53*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5066\/109 - -25439\/545. Factor -2\/5*f**2 + 1\/5*f**4 - x*f**3 + 0*f + 0.\nAnswer: f**2*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-55) + (-12)\/30. Suppose y + 2*x + 5 = 0, -2*y - 3*x - 2*x - 10 = 0. Which is the closest to 3? (a) 4 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**2 + 24*c + 1. Let t = 3498 - 3504. Let i be j(t). Solve q - 26 = 4*k - 9*k, 2*q + 2*k - i = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000397891 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3977 - -19882\/5. Which is the nearest to 4? (a) -2 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52))**2 - sqrt(13)) + 2 + -3.\nAnswer: -sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let k = l + 7. Let q(t) = 2*t - 5. What is the remainder when q(4) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3*q + 1 - 4, 4*x + 4*q - 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/35, 0.2, -2\/25, 5, -0.1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 272 = k, -6*c + 2*c + 272 = k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxggggggxggxg. Give prob of picking 2 x and 1 g.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 5 (c) -366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 361489*b**3 - 202*b**2 + b - 1 wrt b.\nAnswer: 2168934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/14*-2*2 + 2. Let u(a) = 2*a + 1. Let j(v) = -11*v - 6. Let t(p) = 6*j(p) + 34*u(p). Determine t(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2*o**3 - 7*m**2*o + 2*m**2 - 145*o**3 with respect to m.\nAnswer: -4*m*o**3 - 14*m*o + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Suppose 0 = 31*d - 37*d + 72. Let b(h) be the second derivative of -1\/4*h**4 + 0 + 0*h**2 + d*h + 0*h**3. Calculate o(b(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 - 4*h + 3. Let n be j(2). Suppose -3*l + n*c + 8 = 2*c, 2*c + 13 = 5*l. What are the prime factors of (l\/(-6))\/((-2)\/48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248638.\nAnswer: 2, 13, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -418, -2 in increasing order.\nAnswer: -418, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (3 - 1) - 8. Let d be 3 - 9 - -3 - h. Suppose b + 86 = d*b + 3*w, -4*b + 61 = 5*w. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 4. Let l be z(4). Suppose l = 2*p - 8. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 62*s - 42900 = 3*i, 57146 = 4*s + 5*i. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -10) + (-128 - -65).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-2)\/(-4))*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 111. Let a(v) = -v**2 + 121*v - 57. Let s(d) = 39*d - 19. Let c(z) = 3*a(z) - 8*s(z). What is the remainder when p is divided by c(16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9237 times 0.4\nAnswer: 3694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 23*w - 18. Calculate f(-18).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*h = 0, 3*o - 12 = -o + 4*h. Put 0, 4, o, 27 in descending order.\nAnswer: 27, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2021996.511 and 640.\nAnswer: 2022636.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 127\/2286*((-2)\/3 + 80\/(-24))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*j - 33*j + 70*j)*(-8 - 2 + 4).\nAnswer: 1392*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2*g - 3*g + (-g + 5 - 5)*(-3 + 0 + 4).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000959086 rounded to five decimal places?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/((-2)\/4). Let y(f) = -4*f. Let h(m) = m + 1. Let u(d) = 4*d + 6. Let l = -18 + 17. Let z(n) = l*u(n) + 6*h(n). Determine x*z(o) + 3*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -1.29, 2\/5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8*-2)\/((-11)\/(-2992)*4)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 40*r - 256. Determine h(-33).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 2*j + 51. Let s(u) = u**2 - 8*u + 4. Let r be s(8). Suppose q = -r*q + 155. What is the remainder when w(-5) is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1642 and 20.\nAnswer: 16420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*a + 3*y, 5*y = 2*a + 3 + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*m**2 - 36*d*m + 94513*d - 51416761*m**2 - m + 9 wrt m?\nAnswer: -4*d - 102833522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2720419565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from mflfbhs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d + 60 = -102*d. Calculate the least common multiple of 412 and d.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)\/m)\/m)**(-36) assuming m is positive.\nAnswer: m**(432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3574 = 155*j - 7139 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 339 = -2*u + 127, 4*f - 465 = -u. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000689828 rounded to 5 decimal places?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334610253 + -34?\nAnswer: -334610320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1533923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 31. Calculate i(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, q: 2, y: 5, u: 6, m: 5}. Give prob of picking 2 y and 1 m.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 2*r)*(-3*r**2 - 3*r + 5*r + 5*r**2).\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8*w)\/((w*w**(-1\/15)\/w)\/w))\/(w**(-3))**(-36) assuming w is positive.\nAnswer: w**(-1469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*w - 2*y - 2*y, -y = -2*w + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11846735.\nAnswer: 5, 2369347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48033 - -81592. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - d**2. Let w be y(1). Suppose -4*l + 64 = -4*a, -w = -l - l. Let x = -6 - a. What is the smallest common multiple of 7 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 4*u**3 + 6*u**3 + (0*u**2 + 2*u**2 + 0*u**2)*(0*u - 4*u + 0*u) + 6 + 4*u**3 - 6.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 4*w**2 - 4*w**2 + 7*w**4 + 7 - 7 + 5*w**4 + 0*w**4 - 4*w**4 + (0 - w**2 + 0)*(0*w**2 + 5*w**2 - 3*w**2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssbbs. What is prob of picking 2 b and 2 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/9*30\/(-690) - 3\/54*4.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 682 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and 1614\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*j - 4 = 0, 37*j - 353 + 390 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.65 to 1 decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:39 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - (6 - 5)\/(-2 + 3). Suppose -31*w = -s*w - 83446. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7844730.144362 less than -0.4?\nAnswer: 7844729.744362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let x(w) = -523906*w. Give r(x(s)).\nAnswer: 2095624*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/2*(-16)\/3. Let m(w) = -10*w**2 - 2*w - 1. Let l be m(-1). Let d be 6\/(1*l\/(-12)). What is the highest common divisor of z and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**3 - 404*s**2 + 424*s - 16. Let v(l) = l**3 + l**2 - 3*l + 2. Let b(t) = -d(t) - 8*v(t). Solve b(u) = 0 for u.\nAnswer: -100, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 - (-13 - -6))\/(3\/(-72)). Let p = t + -738. Round p to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21736)\/(-684) + (-6)\/(-27). Solve -753*l + 757*l + v = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 2*u + 7. Let l(r) = 3*r + 25. Let q be l(-5). Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1035932.061 - -1034355. Let p = 1646 + s. Let i = p - 69. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 3, 27, 5, -11.\nAnswer: -11, -5, -3, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*p - 31960 = -12880 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 8*v**2 - 47*v - 3085. Calculate q(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*a - 162*a - 167*a + 476*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 24 = 13*m. Does 21 divide (-8)\/((-192)\/1050)*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (2 + (3 - -2) + (-23 - -19) - -1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:44 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 2, m: 3, r: 8}. Give prob of sequence rm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*w, -2*q + 4 = -4*w - 4. Let n(j) be the first derivative of 2\/3*j**3 - 1\/2*j**2 + 0*j + q. Find the second derivative of n(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*i = -t + 5, -2*i = -t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*d - 5*a - 105, 0 = 3*d - a - 53. Calculate the highest common divisor of d and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -15*m + 11*m. Let g be 3*10\/m + 1723\/(-4578). Let i = 1\/218 - g. Which is the second smallest value? (a) i (b) -0.1 (c) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 5. Suppose -2*v + 18 = 2*x, 3*v + 4*x - 29 = -x. Suppose v*i - 4*i - 24 = 0. Give n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 44*x = 51*x + 782 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 125127*h**3 - 129119?\nAnswer: 375381*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223489 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5631891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 14. Let x be r(0). Suppose -10*p - 2121 = -2141. Suppose -s + x = 2*c - 5*s, -p = s. Solve 0 = -l - c - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - (sqrt(440) + sqrt(440)*-1 + sqrt(440) - sqrt(440) - sqrt(440))\/sqrt(11))\/(sqrt(8) + sqrt(224)\/sqrt(7) - sqrt(8)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -28*h**3 + 29*h. Let i(l) = 27*l**3 - 30*l. Let j(u) = 4*i(u) + 5*v(u). What is the second derivative of j(z) wrt z?\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 9*c. Let x(l) = 5*l**2 - 11*l**2 + 7*l**2 + c*l**2. Let q(n) = 27*n**2. Calculate q(x(d)).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 2*s - 79. Let h be u(-7). Which is the second biggest value? (a) -5 (b) h (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -861, -1330, -1837, -2394, -3013, -3706, -4485?\nAnswer: -5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.00791 - 0.08737. Let f = 0.087 + b. What is f rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4494)\/(-14980))\/(3\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35419 by 662.\nAnswer: -35419\/662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -64, -79, -112, -169, -256, -379, -544?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*1\/10*(-1)\/9. Put s, 0.1, -15 in descending order.\nAnswer: s, 0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -16*a. Let s(i) = 6*i - 17. Calculate g(s(x)).\nAnswer: -96*x + 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10. Suppose 4*b - 4*k - 12 = j, 2*b + 3*k = 4*b - 7. Solve -b*n = -1 - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660827?\nAnswer: 31, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10531536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3, -2, -45, 1223 in decreasing order.\nAnswer: 1223, 3, -2, -45, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14443\/84 + 675\/4. What is the common denominator of 83\/168 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*112702\/4569.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -91. Let m(x) = x**3 + x**2 + 2*x. Let w(r) = 2*r**3 + r**2 + 3*r. What is j*w(z) - 3*m(z)?\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*f - 25912 - 63650 = -1219*f for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**(-8)\/k)\/k)\/k))\/((k**(-4)*k)\/k*k))**(2\/11) assuming k is positive.\nAnswer: k**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/5 or -2\/83477?\nAnswer: -2\/83477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -0.4, 16\/7, 5, 0.5, -4\/387, -1\/2?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6538.\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(320)*-1 + sqrt(40)\/(sqrt(2)*-1))*-4)\/(4*sqrt(1440) - sqrt(110)\/sqrt(44)))**2.\nAnswer: 512\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 8*t + 20, -4*a - 10*t + 5*t = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 73. Let i(x) = 11148*x**2 - 23*x - 1. Let u be i(z). What is u rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 7*y = 14350. Calculate the greatest common divisor of 246 and y.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31186, -120089, -268266, -475723, -742466, -1068501, -1453834?\nAnswer: -1898471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28726 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10681*u**3 + 438*u - 2.\nAnswer: -64086*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 982, 4149, 9500, 17035, 26754, 38657, 52744?\nAnswer: 69015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k*o**4 - 62*k*o**3 + 54*k*o**2 + 1338*k + 3*o**5 + 13*o**3 wrt o?\nAnswer: 96*k*o - 372*k + 180*o**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 30 = 4*n. Let q be (-7)\/(-3) + 4\/6. Is q\/9 - 148\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*q + 3*q - q - 4*q + (2*q - 6*q + 3*q)*(121 + 142 - 46).\nAnswer: -217*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y - 86*y = -28. Find the second derivative of 81*b**4 + 9 + 41 - 2*b + 14*b**y wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + 3*o**2 - 4. Determine g(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2 + (sqrt(64) - sqrt(16))\/sqrt(8))**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -33\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 112*z + 431. What is the thousands digit of c(68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y. Let w(k) = 196*k**2 - 2*k. Calculate f(w(i)).\nAnswer: -2352*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let h = 152 - 143. Let m(j) = 5 + 0 - h + 2 + 6*j. Give m(a(d)).\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 769 + -769.3. Which is the nearest to -20? (a) t (b) -2\/27 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-71 - -57)*(-2)\/(-4). Let y(l) = -2*l**3 - 6*l**2 - 27*l - 52. What is the tens digit of y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 8*p**2 + 8*p + 5. Calculate the remainder when x(-6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.47653699 rounded to 3 decimal places?\nAnswer: -4.477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 - (-14 - -10 - 25)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36783 + -24561. List the prime factors of k.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruuuuuruuuuuuuuuu. Give prob of sequence rru.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:10 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37672281?\nAnswer: 3, 1637, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78766.608274 + 2.\nAnswer: -78764.608274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 1\/12*q**5 + 1\/4*q**4 + 1\/3*q**3 - 5*q + 0 + 3*q**2 - 1\/120*q**6. Give l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*x**2 + x**2 + 66*x**3 - 83*x**3 wrt x?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.2, -0.1, -3, 163?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33831, 67957, 102563, 137889, 174175, 211661?\nAnswer: 250587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8255.444 + -8280. Let b = z - 0.044. What is b rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*h - h + 41*h)*(-3*h - h + 3*h - 4) to u*h + w*h**2 + t and give u.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(3 - 35\/10). Let c = -19 - k. Suppose 0 = -c*z + 5*i + 33 + 29, -22 = -z + i. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l - 12. Let k(a) = -a**3 - a**2 - a + 4. Let y be k(l). Let x = y + -13. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 18*q = 33*q - 13*q - 78, 0 = 3*g + 9*q - 3*q - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 817169.8 tonnes?\nAnswer: 817169800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 3118411*u**3 - 7745049*u + 2.\nAnswer: -20*u**3 + 18710466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90107, 180222, 270337, 360452, 450567?\n\"Answer: 90115*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 1.9, 0.3, -1, 1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.011 + -49. Let f = g + -0.005. Round f to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172110562 rounded to three dps?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 3*x**2 + 3*x**2)*(-3*x + 0*x + x) - 7*x + 5*x**3 + 7*x + x - 4*x**3 - x + (2*x + 2*x + 2*x)*(x**2 - 3*x**2 + x**2).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 19*x**4\/12 + 5*x**2\/2 + 10*x + 2. Let i(a) = 2*a**2. Give z(i(t)).\nAnswer: 76*t**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -18. Sort w, 2, 0 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = m. Let n(t) = 1. Let w(l) = l - 8. Let h(c) = 6*n(c) + w(c). Let x be h(2). Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + ((-70)\/60)\/((-1)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13455*t - 78. Let m be v(2). Let a = m - 14033. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let g(m) = 4*m + 1. Suppose 16*l = 2*v + 14*l - 2, v = -2*l - 5. Give v*g(r) - 3*w(r).\nAnswer: -7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -27*p + 987. Is b(-44) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 96528*b\/5 - 77216\/5 = 0.\nAnswer: 4\/5, 9652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008*f + 1005*f = -3. Which is greater: f or -2\/97?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*w - 23 = 0, 93*g - 172 = 89*g - 24*w for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5 - 25485*p**4 - 18*p**3 - 1011019*p**2 wrt p.\nAnswer: 120*p**2 - 611640*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 425433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-228))\/(((-2)\/35)\/(10\/(-70)))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 12.4. Let d = -4.39989 + o. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 30 = 3*q, -13*q - 3*w + 12 = -16*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43232588 is divided by 1442?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*t + 20 = -3, -4*t = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 2.71 (c) -0.438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48888713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 1 - 1)*(0 - 2*v + 0)*(-3*v + 3*v - v**3) + (-2 - v + 2)*(-3*v**4 + v**4 + 3*v**4).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(2\/5)*y)\/y)**(-22)*y**12\/(y**(-15)*y))**(8\/3) assuming y is positive.\nAnswer: y**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1\/5*d**5 + 0*d**3 + 3 - 2*d + 0*d**2 + 0*d**4. Differentiate s(b) with respect to b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and -23\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = m + 2*m. Let l be 16\/3 - m\/(-12). Is ((-10)\/l)\/((-2)\/749) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppupupppppuppu. What is prob of sequence pu?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6 = 2*z + 2, 4*z - 20 = 5*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - f**2 - 1 - 3*f - 2*f**4 + 3*f**3 + 2*f**4 - 2*f**3 to the form z + m*f**4 + l*f**3 + k*f + d*f**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -805 (b) -3\/5 (c) -5 (d) -3 (e) -2\/19 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.03 - -27. Sort 1, 2\/19, j in ascending order.\nAnswer: j, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -118 + -1 - (3 - 6). Let d = i - -186. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -2. Suppose z - 23*h = -18*h - 3, 2*h = -5*z + 12. Let m = z - q. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 5. Calculate l(11).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134068, 268089, 402108, 536125, 670140?\n\"Answer: -s**2 + 134024*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) 5 (d) -0.3 (e) -1.9 (f) -1\/10 (g) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/((q\/(q\/q**(-7))*q)\/q)*q))*q)\/(q\/(q*q**3)))\/((q*q\/(q\/q**(-5)))\/(q**(-1\/7)*q)) assuming q is positive.\nAnswer: q**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73950334 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4447, -4451, -4465, -4495, -4547, -4627, -4741, -4895?\n\"Answer: -t**3 + t**2 - 4447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 8096?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + (-2 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*m**3*r**2 - 62*m**3 + 28*m**2 + 88*r**3 - r wrt r.\nAnswer: 60*m**3 + 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/10 - (-9)\/15. Let x = -15.2 - -4.6. Let v = -10.5 - x. Which is the closest to j? (a) -2 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 411 + -14797\/36. Let a = g - 2\/9. Let p be ((-1)\/3)\/(1\/3). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 77*r - 2461. Let q be l(32). Let j(a) be the first derivative of 1\/34*a**4 + 0*a - 5 + 1\/17*a**2 - 4\/51*a**q. Factor j(g).\nAnswer: 2*g*(g - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3003)\/363)\/((-3)\/33). Solve 0 = 10*z - 41 + v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 27*g - 3. Let c be n(9). Calculate the greatest common divisor of 30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/11)*(p\/((p**1*p)\/p))\/p)\/(p*p**1)**(-4))\/((p\/p**(-1))**(2\/125)*(p*p*p\/(p**2\/p)*p)\/p**(-3\/5)) assuming p is positive.\nAnswer: p**(7131\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76\/11 - 74\/11*l + 2\/11*l**2.\nAnswer: 2*(l - 38)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15602 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2526178 and 412.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 953915.\nAnswer: 20\/190783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(33)\/sqrt(3) + -3) + -3 + sqrt(99)\/(sqrt(45)\/sqrt(5)))**2.\nAnswer: -96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53190 is divided by 626?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-612)\/48)\/((32\/(-40))\/(112\/(-105)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*s = -36*s - 2651 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9 = -0*d + 5*l, -d + 3*l = -12. Calculate the remainder when 288\/(-54)*9\/(-4) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530534 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(132) + sqrt(132)*3)*1)\/((sqrt(132)*-2)\/sqrt(11)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26030803 - 1218422.\nAnswer: -27249225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269041 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:23 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2582 = -3*n + 97. Let c be ((-9630)\/(-120))\/(2\/16). Suppose -n - c = -5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11130849, -11130840, -11130831, -11130822?\nAnswer: -11130813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015051 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 + 25296*f\/7 + 50584\/7.\nAnswer: 2*(f + 2)*(f + 12646)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18294028.\nAnswer: 2, 223, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 154 - 119*h**2 + 312.\nAnswer: -119*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-2) + -3)*-2. What are the prime factors of -3 + (-3)\/v - -36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(4 + sqrt(147)) + 1 + -4*(sqrt(147) + -4*sqrt(147)*-1 + sqrt(147)))**2*2.\nAnswer: 58800*sqrt(3) + 1154730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13 = -0*d + 5*x, -2*d + 4*x + 14 = 0. Let p be 147\/(-28) + d\/(-12). Let a(q) = -2*q - 5. Give a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 35154 = -25*w. Calculate the highest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**3 - c. Suppose 0*b + 2*b + 4*m = 18, 5*b + m = 0. Let s be l(b). Suppose 4 = y - 1. Solve -y = -3*i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 5586 - 22866 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -121406*p + 121413. What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:14 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106604395505 - -2244.\nAnswer: -106604393261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(588)*1).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 9*n + n)*(29 + 77 + 27)*(1 - 1 - 2*n**2).\nAnswer: -532*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let v(f) = 25*f**2 + 2*f - 1. Let o be v(1). Let s be (-21)\/117 - 4\/o. Which is the closest to i? (a) -2\/3 (b) 0.02 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204376274 is divided by 1286.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 + 290*v**4 - 2000*v**3 - 5120*v**2 = 0. Calculate v.\nAnswer: -64, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10\/3 + 4. Let i = 25 + -25.5. What is the nearest to g in i, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 503596, 4, -3 in increasing order.\nAnswer: -3, 4, 5, 503596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 482469, 964934, 1447399, 1929864, 2412329, 2894794?\n\"Answer: 482465*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1150460352 and 4656?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -745*b**3*o**3 + 2*b**3*o**2 - 2296*b**2*o**3 + 2*b**2 wrt b.\nAnswer: -4470*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let o be (1\/3)\/(9\/270). Let k(l) = -l + 10. Let g be k(o). Solve n - q = -g*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -414 - -730. Calculate the remainder when u is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -2143\nAnswer: -16\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3 (c) 266\/13 (d) 1\/3 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 208, 405, 602, 799?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.373272 rounded to one decimal place?\nAnswer: -400.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.692201 milligrams to tonnes.\nAnswer: 0.000000008692201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 d when four letters picked without replacement from {h: 1, q: 1, r: 4, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/2*m + 1\/4*m**2 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - 9) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54975.97 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3) + 1 - (-3 + sqrt(13)*2))*1*3 + -5)**2.\nAnswer: -42*sqrt(13) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwc. Give prob of picking 1 c and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6504*w - 2286*w - 3 + 11 - 8 to the form q + d*w and give d.\nAnswer: 4218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16081880 divided by 3216376.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 5*l - 2*h, 23*l - 18*l - 369 = h. Suppose -268 + 1896 = 2*v. What is the highest common divisor of l and v?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 + -413. Let l = 245 + h. What is the remainder when 46 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + (-44 - (-23 + 62))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 3*y**2 + 3. Let w = 7 - -1. Let v = -2157 - -2154. Let s(f) = 2*f - 3*f - f**3 + 8 - 8*f**2 + 7*f**3. Determine v*s(k) + w*z(k).\nAnswer: -2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -18142, 62\/3, -1\/3, -0.3 in descending order.\nAnswer: 62\/3, -0.3, -1\/3, -18142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*q - 212*q - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -25. Let o(q) = 14 - 33*q - 14*q**2 + 20*q**2 + 43*q - 4 - 7*q**2. What is o(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + r - 40 = 0, 0*r = q + 3*r - 3. Which is the nearest to -0.1? (a) 4 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 128, 110, 84, 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:48 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61200 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5 + 21159*l**4 + 402714*l**3 + 2756964*l**2 + 7891272*l + 7637760 = 0.\nAnswer: -6, -5, -2, 7072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2 + 867*g + 460 wrt g?\nAnswer: 2*g + 867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9359546371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + o - 24 = 0, 2*g - o - o = 44. Solve -g = -5*x - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017676 to six dps.\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-8)\/(-104)*13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -0.2. Let n = -0.02 + 0.04. Let v = -5.02 + n. What is the closest to 1 in v, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203\/1305*(322\/(-1470) - 10\/150).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4\/9, -4438\/33?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8440, -8430, -8406, -8362, -8292, -8190, -8050, -7866?\nAnswer: -7632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 - 161 - 211)*(-10 + 10 - 3*x)*(0 - 6 + 4).\nAnswer: -1488*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -7, 3, 3\/35, 2, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1575*t. Let w(q) = -19*q**2. What is w(k(j))?\nAnswer: -47131875*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 - -0.13. Let u = l + 0.52. Put 0.2, 4\/7, u in decreasing order.\nAnswer: 4\/7, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/8 in -1\/7, -157027, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3917 = 5*l - 4*d + 3*d, -2*l - 1565 = -d. Let r = -465 - l. List the prime factors of r.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*f*p + 6*d*f - 16*d*p + 15*d - 3*f*p + 4*f wrt p?\nAnswer: -2*d*f - 16*d - 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/3 + j. Let q(i) = 3*i**2. Let l be q(-1). Let w(p) = -2 + p + 2 - l*p. What is r(w(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.614571+-35.6051\nAnswer: -36.219671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.47730875.\nAnswer: 0.09546175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325635654 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a50c8 - -13?\nAnswer: a50db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5 - 5)*((-q + q**2 + q)*(-2*q**2 + 2*q**2 + 2*q**2) + q**4 + 4*q**3 - 4*q**3) to the form y*q**4 + m + b*q**3 + v*q**2 + g*q and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 8*h + 8. Let d be a(-6). Suppose 2*q = -4*g + 2, 0 = g + 2*q - 0 + 7. Suppose -2*w + 3 = -g. Sort w, -5, d in ascending order.\nAnswer: -5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 8*z**2 - 4*z**2 + (z + 2 - 2)*(-5*z + 2*z - z)*(27 - 11 - 2).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10013 + -1322?\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 20*s + 52235 = -g, -4*s + g = -41788. What is the highest common factor of 31 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 46*h - 11. Let r be q(15). Suppose a - 4*a + 1168 = 4*u, r*a + 1168 = 4*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:30 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26874 is divided by 318?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13768 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhc when three letters picked without replacement from {n: 2, h: 2, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223302032 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 5. Let i(t) = 3*t - 5. Let s(a) = -5*b(a) + 4*i(a). Let z(r) = r - 2. Let w(l) = -3*s(l) - 7*z(l). Give w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-16)\/(-224))*(-72)\/84?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let h = m + 0. Solve 2*n + h*p = 8, 3*n + 4*p - 13 + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 392*w - 4. Let h be r(1). Suppose -h = 7*z - 1207. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10 (b) -0.02 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-363278)\/48*(-8)\/(-6). Let a = r + 10096. What is the common denominator of a and -101\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*i + 6, -3*i + 2*i + 2 = 3*g. Suppose w = -0*w - 1. Sort w, 4, g.\nAnswer: w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147702 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3811*i**3 - 3*i**2 - 10*i - 3. Let q(f) = -11434*f**3 + 8*f**2 + 27*f + 8. Calculate 3*q(g) + 8*s(g).\nAnswer: -3814*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -22.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/386 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(90))\/(sqrt(50)\/(sqrt(10) - sqrt(160))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 - 9*z**2 + 4*z - 11. Let f(d) = 2*d**3 + 4*d**2 - 2*d + 5. What is -9*f(p) - 4*g(p)?\nAnswer: 2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*i**3 + 26383*i**2 - 52799*i + 26405.\nAnswer: (i - 1)**2*(11*i + 26405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(2 - 1 + 8)*(3 - 3 + p**3).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 6*c + 1. Let b be j(-3). Suppose 2*s + 6 = b. Let 2\/3*y**4 + 4\/3 + 11\/3*y**3 + 7*y**s + 16\/3*y = 0. Calculate y.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 19. Let p(n) = -2*n**2 + 19. Let v = 10625 - 10620. Give v*p(q) - 4*f(q).\nAnswer: 2*q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 2084*o**2 - 164288*o + 30279728.\nAnswer: -4*(o - 83)*(o + 302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4782 divided by -797\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(0 + -1). Let c be (-51)\/(-15) - (-2)\/(-5). Factor 1\/4*m**2 - 1\/4*m**c + 0 + p*m.\nAnswer: -m**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 43 = -151. Let u(m) = -m**3 - 8*m**2 + 12*m + 2. Let r(d) = -d**3 - 8*d**2 + 13*d + 3. Let x(v) = 2*r(v) - 3*u(v). Is 2 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -44*i**2. Let b(h) = -2*h**2. Calculate k(b(p)).\nAnswer: -176*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**4 - 2*v**2)*(2 + 9*v - 2) - 2*v**2 + 2*v**2 - 2*v**5.\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3601743183, 3601743186, 3601743191, 3601743198?\n\"Answer: i**2 + 3601743182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253 + -12142?\nAnswer: -12425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 557, -4 in decreasing order.\nAnswer: 557, 40, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 49*k**2 + 20 - 47*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 0 + 0 + v**3 + v - v + (2*v + v - 4*v)*(-v**2 + v - v) + (-224 + 224 + 25*v**2)*(11 + v - 11).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -48. List the prime factors of (30\/d - 2) + (-350)\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*b*f*l*q + b*f*l - b*f + f*l*q + 13*f*l + 2*f*q + 2*l*q - 3*l + 5*q - 7 with respect to q.\nAnswer: 37*b*f*l + f*l + 2*f + 2*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207830 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 2062, 4966, 9126, 14548, 21238, 29202, 38446?\nAnswer: 48976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4\/9 - 508*s**3\/3 + 495088*s**2\/9 + 22982848*s\/3 - 1223742464\/9 = 0.\nAnswer: -116, 16, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 319*a**4 + 385*a**4 - 587*a**5 - 200*a**3 + 573*a**5.\nAnswer: -2*a**3*(a - 50)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 431, -1, -129 in increasing order.\nAnswer: -129, -1, 5, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2147 - 2142. Solve d*r = 6*r - 2*b, -3*r - 3*b + 18 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3\/4)*l)\/l)\/l)\/(l*l**7) assuming l is positive.\nAnswer: l**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950190.\nAnswer: 2, 5, 11, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -3.637556?\nAnswer: 3.337556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(-q**2 - 2*q + 13 - 17 - 3*q) as p*q + k*q**2 + t and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-4 + (45\/10)\/1)*4858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(13) - sqrt(13)) + 4.\nAnswer: sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/470, -21\/5, 0.08?\nAnswer: -3\/470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 12. Let a be k(-8). Suppose 0 = a*y - 237 + 65. Suppose v + 4*z - y = 10, 4*v - 5*z = 170. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/228 and 22\/7?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2247, -5757, -9267?\nAnswer: -12777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15221512 plus -1.4066?\nAnswer: -1.55881512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25140.005185 + 25140. What is v rounded to four dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-3)\/(-9))*(-15180)\/(-1980).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Suppose -19 = y*d + 4*t + 3, -5*t = 2*d + 17. Calculate the remainder when 41\/2 - 3\/d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (3 - 14) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1350 + -11?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 293a (base 14) in base 6?\nAnswer: 53452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*((sqrt(891) - (sqrt(891) + 0)) + -5 + sqrt(891) + 3*(sqrt(891) + -1))**2 + -3)*-6.\nAnswer: -429577 + 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1528, -0.194, 5?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9632?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -0.4 in decreasing order.\nAnswer: -0.4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - 45\/(-130). Let o = 0.1 + -0.2. Let m = 0.4477 + -0.4477. What is the nearest to m in c, -5\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 5 (c) 1 (d) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + -0.5. Let w = -0.41 + p. Let f = w + -0.05. What is the third smallest value in -3, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**3 + r**2 + (-r**2 - 2*r**2 + 2*r**2)*(-5 + 5 - 5*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i - 8 - 2 + 10 - 2*i**2. Let n be z(7). Let k = n + 270. Calculate the remainder when k is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(6 - 130\/20))\/1. Solve -5*b + 4*d - 24 = -o*b, -2*d + 2 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1211*v**2\/5 + 20781*v\/5 + 3298\/5 = 0.\nAnswer: -17, -194\/1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1126 greater than -1128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*1*-24*375\/2700.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*f - 7777 + 7729, 0 = -q - 2*f + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 232*q + 7285. Calculate s(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 7*k**2 + 14*k - 14. Let w be q(7). Suppose 82 = h + w. Let z be (213\/h)\/(3\/4). Which is smaller: z or -141?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9)*-6 - 2\/(-3). Let p be t\/(-6) - -1*699\/(-9). Let q = 82 + p. Let x(s) = 2*s - 6. Determine x(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + j**2 - 5*j**2 + (-1 - 2 + 1)*(3 - 3 - 2*j**2) - 2*j**2 - 3*j**2 + 3*j**2 - 2 + j**2 + 2 - 1 + 20*j - 10*j - 9*j + 3*j**2.\nAnswer: 5*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + 5 - (-1 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2504310 and 1252155?\nAnswer: 2504310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 1011011001101100?\nAnswer: -1011011001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 = -143*g + 30*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -77, -165, -311, -533, -849?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 + 2.3. Let b = 1.5 + a. Put 1, 2\/3, b in increasing order.\nAnswer: b, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {u: 5, w: 2, i: 3, d: 1, p: 1, q: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 15. Let d = l + -1. Suppose -88 = -d*z - 2*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -698751312 divided by 12\nAnswer: -58229276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 15, a: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143140 (base 6) to base 12.\nAnswer: -7ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7181492?\nAnswer: 5\/7181492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdj when three letters picked without replacement from ddedjvhdhhvjhjdedd?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -1 + -433 + 439?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1193600198 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42985.\nAnswer: 5, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(-1\/10)))))\/t*t**25*t**25\/t*t**24*t assuming t is positive.\nAnswer: t**(731\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1*-3*sqrt(3) + -3)**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*x - 45*x + 7*x**3)*(-2 - 3 + 3).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8210.\nAnswer: -1\/1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Let v be -1*(-2)\/n*3. Calculate the remainder when 22 is divided by (-28)\/6*-3 + v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9) + 106\/(-6). Let u = l - -22. Solve -2*g - 22 = -5*g + 5*z, -u*g + 10 = -3*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose 0 = 2*k + 3*m - 454, u*k = -4*m + 328 + 355. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 9 - ((-63)\/7 - -6). Factor 20\/3*g + 8\/3 + 4\/3*g**3 + 16\/3*g**a.\nAnswer: 4*(g + 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, l: 3, w: 2, b: 5, h: 3}. Give prob of picking 2 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -24, -38, -58, -84?\n\"Answer: -3*z**2 + z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -16 (c) 20 (d) 4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*z + 86*z + 154 = 0. Suppose 3*j - 111 = -3*d, -5*j + 4*d + z = -90. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let k(h) be the first derivative of -h**4\/4 + 8*h - 8. Let z(s) be the first derivative of k(s). Give z(n(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 + -9.4. What is the second smallest value in 13, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184.93 + -184.92938563. What is t rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 - 31950*g**2 - 127865*g - 95910 = 0. What is g?\nAnswer: -3, -1, 6394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52271299 is divided by 4778.\nAnswer: 4757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 52\/7, 0.4, -1, 0.3, 3 in ascending order.\nAnswer: -1, 0.3, 0.4, 3, 52\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*k + 49, 3*r = -2*k - 0*k + 43. Calculate the remainder when r is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqf when four letters picked without replacement from fqqfqfqqqqqffqqqqqqq?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:32 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0773845 and 0.5?\nAnswer: 0.03869225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) - -2*sqrt(980)*2 - 1*(2*sqrt(980) - sqrt(980)))\/(-5*(sqrt(1000)*-3 - sqrt(1000))*6))**2.\nAnswer: 49\/45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-7 - (-4 + 2)). Let o(d) = -13*d**2 + 7*d**2 + d**3 + 12*d**2 - 2 - d + d**a. Let z be o(-7). Solve z*y = -1 - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237903.\nAnswer: 3, 79301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261761?\nAnswer: 3, 29, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let l(x) = -2*x**3 + 16*x**2 + x - 6. Let q be l(8). Put q, g, -5 in ascending order.\nAnswer: -5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4035262.\nAnswer: 2, 7, 11, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/4 - 12*s**4 + 267*s**3\/2 - 331*s**2 + 1233*s\/4 - 99 = 0 for s.\nAnswer: 1, 12, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4402765378.\nAnswer: 2, 11, 59, 83, 40867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1398*y + 105 = -1382*y - 215 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -827, -5, 87 in ascending order.\nAnswer: -827, -5, -1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555816 is divided by 1173.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 + 8*g + 3. Let s = -37 + 26. What is the units digit of t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*s + 90*s - 64 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbv when three letters picked without replacement from {x: 3, b: 5, v: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 - t + 8. Give g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 4)*(1 - 1 + 3*p) - 2 - 1 - 3*p + 7 to f + u*p and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 46, 41, 34, 25, 14, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 8*k**2\/3 + 554*k\/9 + 176\/3.\nAnswer: -2*(k - 24)*(k + 1)*(k + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/26 and -1 + 1 + 21\/(-8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4755 and 3855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**4 - 3*p**3 + p**2 + p - 1. Let b(m) = 36*m**5 + 384*m**4 - 1304*m**3 + 1808*m**2 - 1060*m + 244. Let x(v) = b(v) + 36*i(v). Solve x(d) = 0.\nAnswer: -13, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 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: What is (-32)\/22 + 1 + 1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2)\/(1 - 3). Let j be 14\/(-189) + 2\/27. Put j, -8, k, 2 in descending order.\nAnswer: 2, j, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 1 - 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 36 = 12. Suppose -l + 8 = l. Suppose -l*z + z + 9 = 0. Solve n = z*m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1327.16 and -0.08.\nAnswer: 1327.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 26. Let h be (-18)\/30 - c\/10. Suppose z - 2*n - 2 = 0, -3*n = -3*z - h*n + 1. Put z, -4, -3 in descending order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrxy when four letters picked without replacement from {y: 1, n: 3, t: 1, r: 2, x: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15777, -14092, -12407, -10722, -9037?\nAnswer: -7352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/18*(-27)\/72.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 17643636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 5*m - 2. Determine r(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438460 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 2*t - 0*m, 0 = 5*t + 3*m - 52. Suppose -3*f = -f - t. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590838 to the power of 1\/2, to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**2 + 0*l + 138 + 43\/2*l**4 + 46\/3*l**3. What is the third derivative of p(a) wrt a?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397 is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 147344960 divided by 131558\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67, 157, 247, 337, 427, 517?\n\"Answer: 90*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -484566*s**3 + 2005170*s**2 wrt s?\nAnswer: -2907396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -7*f**5\/60 - 3*f**3\/2 - 2*f**2 - 12. Let d(a) be the second derivative of l(a). Differentiate d(x) with respect to x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235939.\nAnswer: 31, 39869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633 divided by -5?\nAnswer: -5633\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001308642 to 7 dps.\nAnswer: -0.0001309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 70. Let r = -55 - b. Is r not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/(c*c*c**(-10)*c))\/(c*c*c\/(c*(c*c**1)\/c*c)*c*c**(-12)\/c*c) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let l = 52 - 32. Suppose -l = -5*i, f = -3*i - 2*i + 28. Calculate the least common multiple of w and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 96*p**2 + 44*p + 77. Is t(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285021 + 176534 - 128825 = -7394*h for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-10 - -1 - (-25 + 19)) + 7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -176*s + 59*s + 63*s + 57*s. Let x(n) = -9*n + 11*n + n. Give x(t(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -77*h - 112. Let q be y(7). Let l = -330 - q. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 11 - 40*m - 6)*(1 - 1 - 1).\nAnswer: 40*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 2*o + 29*o + 2*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + (-2 - 26) + 23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*20\/(-5)*1\/(-28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 559 - 282. Calculate the remainder when m is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32033121 (base 4) in base 12?\nAnswer: 29909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2999 times -3.4\nAnswer: 10196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/2*3\/6. Let k be 170\/12 - 2*(-1)\/6. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2140 and 2140 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -163.\nAnswer: 7\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4135 divide 151276691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - -0.7. Let s = 84.02 - 5.02. Let x = s - 79. What is the nearest to p in -1, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 139 = 2*q - 23, 0 = -4*l + q - 315. Sort 2, 4, -4, l in decreasing order.\nAnswer: 4, 2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 102. Let j = c - 41. Solve 3*u - 17 + 5 = j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25032626.000084 + -25032667. Let b = -41 - r. Round b to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*c - 11*c + 6*c)*(-43049 + 730*c + 43049)*(-1 + 2 + 1)*(2 + 0 - 4) to i*c**2 + b + j*c and give i.\nAnswer: -29200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 + 5*l**5 - 3*l**5 + (0 - 3 + 1)*(l**2 + 5*l**3 + l**5 - 5*l**3).\nAnswer: -5*l**5 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkuuufumffmkfuufuu. Give prob of sequence mfkm.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4976)\/(-104) - (4\/130)\/(-6 + 1131\/195).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from {f: 1, g: 1, t: 1, n: 3, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (((sqrt(128) + 2 - sqrt(128)) + 1)**2 - sqrt(128) - sqrt(128)) + 3)*1.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333.1 rounded to the nearest ten?\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433004 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36916787 and -27673.\nAnswer: -36944460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1377, 0, 0.5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/546*14\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(((-6)\/16)\/((-105)\/140))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 39*v - 40*v - 4, -5*b + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, y: 7, q: 12}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -41*p**4 + 57*p**5 + 48*p**3 - 43*p**4 - 34*p**5 - 31*p**5 + 44*p**2 = 0. What is p?\nAnswer: -11, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:52 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**5 + 6*b**4 + 2*b + 105?\nAnswer: -60*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 - 3*n**3 + n**2 + 4*n. Let r be c(-15). Suppose s + 2*w - r + 60 = 0, -1794 = -2*s + w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4043290 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/54442 and -43\/14696.\nAnswer: 2395448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 4. Suppose -4*d + d + 28 = 5*m, d - 4*m - 15 = 0. Let l = w - d. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.3, -585, 0.42?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19013 + 4108*d - 15956 + 3*d**2 - 4108*d.\nAnswer: 3*d**2 - 34969","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.85 from 1228095988.\nAnswer: 1228095988.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 16284882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {b: 5, a: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18804829 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5784742, 11569501, 17354284, 23139103, 28923970, 34708897, 40493896, 46278979?\n\"Answer: 2*g**3 + 5784745*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*v**2 + 10650240*v - 3042928 = 0. What is v?\nAnswer: -380366, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-35)\/15)*3 - -1. Suppose 5*p - m*u - 115 = 0, 0 = 4*p + 5*u - 59 + 12. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = 2*o, -3*o = n - 0 - 7. Suppose 0 = -2*d + o + 2. Solve -d + 1 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.6349 - -21.6. Let t = -0.9651 + r. What is the nearest to t in 1\/6, -1, 2\/5, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 3. Let s = 17 - 22. Let w(f) = -f**3 - 4*f**2 + 3*f - 5. Let k be w(s). Does 7 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.103915l to millilitres.\nAnswer: 4103.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292.1 - -292. Which is the closest to g? (a) -4 (b) -8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150335 + 426302?\nAnswer: 426302.150335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 70715\/(-14155) - 8 and -29.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, o: 9}. Give prob of sequence ss.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -11, -2, 4, -3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 80. Suppose 81 + t = 3*f. What is the first derivative of -f - 28*l**3 + 46 + 0*l + 0*l wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -36*j - 6. Suppose -33 = -3*n - 36, 4*a + 2*n + 34 = 0. Let b(f) = -24*f - 4. Determine a*b(o) + 5*q(o).\nAnswer: 12*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {a: 6, r: 4, b: 6, v: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**3 - 16*f**2 - 27*f - 13. Let y(z) = -14*z**3 + 45*z**2 + 77*z + 38. Determine 17*t(o) + 6*y(o).\nAnswer: o**3 - 2*o**2 + 3*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 150179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 + (-44128)\/18). Let m = f - 7072\/3. Let o = m + -91. Which is the second smallest value? (a) o (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*114\/171\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -3\/5, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34031*d - 45 = 5*b + 34033*d, 0 = -b + d - 16 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*q = g - 248, 2*q + 140 = 2*g. Let s = -63 + g. Suppose 14 - 4 = x. Calculate the remainder when x is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.11, 43\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = -3*d + 5, d = -2*k - 9. Let n(v) = -5*v + 27. Let f be n(5). Let g be -1*5\/((-170)\/4). Which is the nearest to d? (a) g (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d. Let i be n(-1). Let r be 2 - (i - 33*6). Suppose -f - r = -5*f. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 6*v**5\/5 + v**4 - 4*v**3\/3 - 7034*v - 1162. What is the first derivative of j(x) wrt x?\nAnswer: 24*x**3 + 12*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*l - 126*l + 29*l**2 + (0*l + l + l)*(-3 + 2*l + 3))*(1185*l**2 - 1185*l**2 + 191*l**3).\nAnswer: 6303*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 57, 75, 113, 177, 273, 407, 585?\n\"Answer: h**3 + h**2 - 6*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z - 3. Let k(d) = 8*d - d**2 + d - 3 - 2*d. Let b be k(5). What is the units digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1223*q**6\/120 + 509*q**5\/4 - 40*q**2 + 135*q. What is the third derivative of o(j) wrt j?\nAnswer: 7338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/20 - 2\/164*37. Suppose -3*q - 5*t + 2 = -6, -4 = -4*t. Let v = q + -2. Is z less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 131972*o - 131980*o - 1 + 2.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 18*j**2 - 2999. Let y(l) = -7*l**2. Determine y(s(h)).\nAnswer: -9072*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*o - 28 = o, 0 = d + o - 16. Suppose 4*t + 0*t = -d. Let r(w) = -4*w**2 - 6*w + 2*w**2 + w**2 - 1 - 3. What is r(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261*h + 0 + 7*h**2 + 269*h + 0 wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062192853.\nAnswer: 7, 79, 127, 29363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 minus 68421?\nAnswer: -68422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 92, 4\/5, 0.2, -3, -7.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 13408\nAnswer: 69\/13408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(2*(-4)\/(-16)). Suppose 0 = -4*t + 4*q, f*q = 5*t + 4*q - 4. Calculate the remainder when 10 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 - 2*u + 1. Let o(v) = 9*v**2 - 2*v + 1. Let g(s) = -6*h(s) + 7*o(s). What is the remainder when 14 is divided by g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94*y - 47*y + 5*y)*(-3 + 0 - 2)*(-21 + 7 + 9) to j + i*y and give i.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - k + 2. Let l be o(-3). Suppose -4*s = 3*a + 2*a, 4*s - 3*a = l. Suppose 8*t - 111 = s*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 4. Suppose 4 = 2*k - f*y, -3*k + 5*y + 6 = y. Solve 3*p - 1 = k*l - 0, p - 1 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145342743 is divided by 145342742.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*g + 96*g = 440 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*w - 1343*w = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461.238 grams in nanograms?\nAnswer: 2461238000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let h(z) be the second derivative of 0*z**2 + 0 - 1\/12*z**4 - 9*z + 0*z**3. Determine y(h(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31040 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 752 by 8.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/2)\/g)\/(g*g\/(g\/(g**4\/g)))*(g*((g*g\/(g\/g**(-2\/5)))\/g*g)\/g)\/(g\/(g*g**(-2)\/g*g)) assuming g is positive.\nAnswer: g**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - -3339c0?\nAnswer: 3339fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*r + 5*y, -r + 984*y - 985*y = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008796743 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/3 - 9*t**2\/2 + 2*t. Let i be s(6). Solve -3*o = -0*o - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.796 times 0.7?\nAnswer: -0.5572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 (base 9) in base 3?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -179?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**4\/5 + 18*p**3\/5 - 36*p**2\/5 + 6*p - 9\/5 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6492 - 6489.8985. Let n = 2.1 - c. What is n rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4387855 by 5.\nAnswer: -877571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -2)\/((-1)\/(-5)). Suppose s*m = 21 - 1. Solve -m*w + 6 = 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367518 divided by -367518.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 671 + -663. Let v be k\/6*(-13 + (-1675)\/2). What is v rounded to the nearest 10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 3*f + 6. Let x be j(-5). Let w = x + 5. Suppose 7*g - 6*g - 7 = 0. Calculate the smallest common multiple of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5 + 12 + 1 - i. What is the remainder when 71 is divided by f(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15262, -30361, -45450, -60529, -75598, -90657?\nAnswer: -105706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose w = x - 0. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gczc when four letters picked without replacement from {g: 3, a: 9, c: 5, z: 1}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2*t + t - 8*t + 0*t**2 + 3. Let y be n(9). Suppose -4*g**3 + g**3 + 4*g**4 + 5*g**4 - 6*g**2 + 0*g**y = 0. What is g?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452 (base 7) to base 2\nAnswer: -11101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**15*r\/(r**(2\/17)*r*r)*r**31\/(r*(r\/r**1)\/r*r*r*r) assuming r is positive.\nAnswer: r**(712\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {d: 1, s: 1, o: 2, h: 1, p: 2, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*r = 40, 8 - 28 = -5*n + 5*r for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -34. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2760*u = -2765*u. Let k(x) be the third derivative of -x**6\/120 + x**5\/60 - x**4\/8 + 100*x**3\/3 - x**2. What is the tens digit of k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.801257kg?\nAnswer: 3801257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from dsdsddsdds.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 14 - (23 + -3 + 3).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three eighths of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfbbzzzbzjzzxhzjhfjz. Give prob of sequence fxjz.\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*h + 1925 = 356*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:14 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 - 4*j**3\/3 - 8*j**2\/3 + 16*j\/3.\nAnswer: 2*j*(j - 2)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let s(d) = -40 + 8*d + 40 - 21*d. What is s(g(r))?\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) -0.052 (c) -3 (d) -0.3 (e) -958 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-4)\/48 + 47\/(-84)). Let n = 19 - 6. Suppose 7 = -x - 2*j, -3*x - 3*j - j = n. Is i bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81153153 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 0 + -3 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 147, 169, 175, 159?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*x**2 + 9613*h*x - 74*h + 29*x**2 + 4*x + 19379 with respect to x.\nAnswer: -2*h*x + 9613*h + 58*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277.700001349 - 277.7. What is m rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*d - 18, -h + 2*d = -d - 9. Solve 17*g + h = 16*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12077 and -7.1?\nAnswer: 85746.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 31*v - 53. Is r(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 2139?\nAnswer: 2138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/67 - -138\/1139. Let m = -2.59 + 7.59. Put r, m, 27\/5 in increasing order.\nAnswer: r, m, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13567\/78 - 521\/3. Let q(g) = -g**3 + 7*g**2. Let l be q(7). Is l at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -81*q**2 + 3 + 0 - 5 + 10*q + 80*q**2. Let f be z(4). Suppose -10*n = -812 + f. List the prime factors of n.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271747 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 114445745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -123291 (base 13) in base 14?\nAnswer: -b49a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**2 - 4. Let b(d) = 7*d - 15. Let a(j) = -10*j + 21. Let t(g) = -5*a(g) - 7*b(g). Give y(t(r)).\nAnswer: -5*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79985548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125215 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 68544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -58. Let b(l) = l. Let y(q) = 2*q - 1. Let c(a) = p*b(a) + 2*y(a). Give c(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - h = -0*h + 1, -3*h - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let j be (12\/24)\/((-2)\/(-28)). Suppose 2*w - 7*w = b - 6, 3*b - j = -4*w. Let i(k) = 1 + 3*k**2 - 2 + b. What is a(i(g))?\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*g = 80, 4*i = g - 1843 + 1779 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 447*p - 134. What is k(-112)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.521 + 0.079. Let q = -0.4 - 1.6. Which is the closest to q? (a) -0.3 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.00191, 5, 1 in descending order.\nAnswer: 5, 1, 0.00191, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 266, 219, 136, 5?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 62*o**2 - 60*o + 34. Calculate d(-30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 56*q**2 - 1. Let l(c) = -3 - 5*c**2 + 2*c**2 + 3. Give l(d(i)).\nAnswer: -9408*i**4 + 336*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, -3, -6, 45.\nAnswer: -6, -5, -3, 39, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 146939310*m - 146939307.\nAnswer: -3*(m + 1)*(m + 48979769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/75 and 38\/105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*n**3 - 23659*n + 7 - 18 + 2*n**2 + 23656*n as w*n**3 + h*n + x + i*n**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27394 divided by -4.\nAnswer: 13697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3510439427.\nAnswer: 11, 281, 607, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-5))\/((-3)\/(-60)). Let x = 34 + j. Let a(t) = x*t**2 + 8*t**2 - 23*t**2 + 6*t**2. Let k(v) = 17*v. What is a(k(p))?\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let l(w) = -231*w**2. What is l(u(o))?\nAnswer: -231*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-45)\/39))\/((220\/33)\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 0, 1 in ascending order.\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*p**3 + 355*p**3 + 351*p**3 - 8*p**2.\nAnswer: -2*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193 - 194.7. Let s = 1.5 + f. What is the closest to -8 in s, 5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*u**4 - u**2 + 469*u.\nAnswer: 1824*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129881888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17370.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.4 + -60. Let k = y + -0.4. Let v = -115\/663 + 1\/51. Which is the third smallest value? (a) v (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205397, -410798, -616199, -821600, -1027001?\n\"Answer: -205401*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 203*i**2 + 5*i**3 - 2*i**3 - 212*i**2 - 2*i**3 - 2 - i to the form b + l*i**2 + c*i**3 + k*i and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197290 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 32*j + 15. Let s be t(-11). Suppose 4*r - 4 = s. Solve -3*u + r*a = -a + 6, 3*a + 14 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 11*b + 88. Let x(d) = 14*d**2 - 26*d + 220. Let n(r) = 12*s(r) - 5*x(r). What is the second derivative of n(a) wrt a?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -46*h + 17*h - 21*h**2 + 13*h + 15*h. Let u(j) = -2*j**2. What is r(u(w))?\nAnswer: -84*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + u - 1 = -3, 0 = 3*y + 3*u - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 185*v**4 - 1760*v**3 + 120*v**2 + 15120*v - 19440 = 0. Calculate v.\nAnswer: -3, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54288 greater than or equal to 54286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Let d(o) = 7*o**2 + 28*o - 6. Let h be d(-4). Determine f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269620000 rounded to the nearest 1000000?\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000618249043 to 7 decimal places.\nAnswer: 0.0000618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/558 - -553\/2790. Which is bigger: b or -17\/71?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17497 - -17497.24462. What is c rounded to three decimal places?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*x + 84108 = 75144 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-217)\/140*-5)\/((-1)\/164). Let d = k + 5111\/4. Calculate the common denominator of d and ((-4)\/6)\/(3\/(-10)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 1 + 1 + (14*b - 12*b - 9*b)*(1 - 2 - 1).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 132 - 138 - 135 + 411. Let h(s) = s - 7. Give 2*h(q) + 3*p(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*z - 470 = 0, -2*z = 2*y + 2*z - 472. Let k be (-4)\/6 + y\/27. Calculate the highest common divisor of 88 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (-1*sqrt(520) - sqrt(520))\/sqrt(10))\/sqrt(4) - (sqrt(26)\/(sqrt(6)\/sqrt(3)) - (sqrt(208) + 1 + sqrt(208))).\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 0*s - 124 - 6*s - s as a*s + d and give d.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 262798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 96*d**2 + 63*d**2 - 129*d**2 - 3*d.\nAnswer: 30*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128949*q**3 - 304194*q.\nAnswer: 773694*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4271, 16751, 37425, 66293, 103355?\n\"Answer: 4097*f**2 + 189*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52002, -52397, -52792, -53187?\n\"Answer: -395*t - 51607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(6*y**4 - 3*y**4 - 2*y**4) + (-6*y**4 + 2*y**4 + 9*y**4)*(-4*y + y + 0*y).\nAnswer: -17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:26 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 26. Let q(j) = 670*j**2 - 351*j**2 - 335*j**2 - 4 + 4. What is q(v(n))?\nAnswer: -64*n**4 + 1664*n**2 - 10816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.16 (b) 6\/19 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1611405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let b = 0.03 - -0.37. Sort -2, b, w in descending order.\nAnswer: w, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**24\/n*n)\/(n\/n**(-7))*(n*n\/(n*n**(-1\/12)))\/((n*n**(-2\/37))\/n) assuming n is positive.\nAnswer: n**(7609\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517823 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5678 and 14696.\nAnswer: 249832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331057591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3 - 4 + 3 - 3*h**2 - 3*h. Suppose 2*f + 2*f - 16 = 0. Let n be g(f). Solve 0*p + 5*p + 33 = 4*l, 5*p - 5*l + 35 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*j + 506 + 3445, -4*x = -2*j - 5264. Calculate the highest common divisor of 481 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51932.32 decades in millennia?\nAnswer: 519.3232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/24 + c**5 - 25*c**4\/6 + 260*c**2. Factor g(v).\nAnswer: -5*v*(v - 10)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 22. Let q(n) = n**2 + 14*n - 7. Let f be q(t). What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 473863*w**4 - w**2 - 10999*w - 10 wrt w?\nAnswer: 11372712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7683266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(175))**2.\nAnswer: -10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (16 - (-7 + 11)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {e: 4, a: 3, g: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:48 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.32, 0.5, -290, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*o**5 + 310*o - 63*o**3 + 67*o**3 + 12*o**4 + o**5 - 157*o - 161*o wrt o.\nAnswer: 20*o**3 + 144*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206856569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (782\/14467)\/((-65)\/(-1924)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4956 + -4949. Solve -6*l + 5*y = -4*l - 9, 2*l - 3*y = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k + 183 = 0. Let q = k - -88. Suppose 7 = -5*n + q. Solve -3*v + 2*w + 5 = 0, 0 = -2*v + n*w - 2*w + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564731*r = -564849*r. Let k = -9\/4 + 25\/12. What is the closest to r in -14, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 + 25*n - 123. Calculate k(0).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 837380.\nAnswer: 837380.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let t = 198 - 197.5. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-28)*(-6)\/9*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -g - 2*g. Let c = g + -24. Calculate the least common multiple of -12*-4*(-20)\/(-40) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*u = -6, u = 2*u + 5. What is the remainder when (826\/35)\/(20\/50) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57165597*t**2 - 29*t + 1016791 wrt t.\nAnswer: -114331194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1051 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Suppose 4*l - 31059704 - 940308 = b*v, 3*l = 2*v + 24000008. What is l rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(2\/5))**4*s**(3\/8)\/((s*((s**(-3\/8)*s*s)\/s)\/s*s)\/s) assuming s is positive.\nAnswer: s**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -927, -3725, -8397, -14949, -23387, -33717, -45945?\nAnswer: -60077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/30 + 11*f**5\/60 - 3*f**4\/8 + 23*f**3\/6 + 14*f**2. Is m(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-156)*3*1828\/(-1371)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 2*z - 3. Suppose 82 = 3*o - 50. Let v = -20 + o. Calculate the remainder when v is divided by g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68746938*k**2*r**2 - 1752*k**2 - k*r**2 + 3*k*r - 2*r**2 + 414*r + 2 wrt r.\nAnswer: 137493876*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 2*x + 0*x)*(-1 + 2*x**3 + 1) + 4803*x**4 + 10514*x**4 - 2847*x**4 as o*x + g*x**4 + w*x**3 + p + d*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from cncccciccicicccici.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*t**2 + 2*t + 39 wrt t.\nAnswer: -200*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 2*c + 122 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -35*(6\/(-21))\/(3\/27) is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -4. Let m = o - -13. Let s = -4 + 8. Sort s, 1\/2, m in descending order.\nAnswer: m, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -6)\/(6\/693). Suppose 291 = 5*n - 4*d, 3*n - 3*d = o - 57. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 15*z**2 + 201*z + 217. Give f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, -701, -2557, -5167, -8531, -12649, -17521?\nAnswer: -23147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 - -23)*4\/6. Let t(g) = 85*g**3 + 5*g**2 - 5*g + 9. Is t(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*t + 378 with respect to t.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Let m = -114\/1525 - -7\/61. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*j - 2. Suppose 0 = j*c + 15 - 191. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 216*n**3 + 1425*n**2 - 1638*n.\nAnswer: -3*n*(n - 78)*(n - 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 991, 2066, 3177, 4342, 5579, 6906?\n\"Answer: 3*g**3 + 1054*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/10)\/(6\/(-4)*-2). Suppose 6*w - 4*w - 5*i + 14 = 0, 5*i = 4*w + 18. Let d be (-6)\/4*w\/3. Put v, -0.1, d in ascending order.\nAnswer: -0.1, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/35 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.4, 2, 0, 1, 4\/5 in decreasing order.\nAnswer: 2, 1, 4\/5, 0, -6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 2*m**2 - 4*m + 4*m**2 + 2*m**2 - 9. Let b = -3 - -10. What is the tens digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 - 17 + 7 + 10*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 7 = -7*c. Suppose -22631 = -5*q - c*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 19*n**4 + 34*n**3 + 2*n**2 - 35*n + 17.\nAnswer: (n - 17)*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 785?\nAnswer: -392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3*2\/6). Let w(a) = a**2 + 2*a + 132. What is the units digit of w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -802, -891, -982, -1075, -1170, -1267, -1366?\n\"Answer: -j**2 - 86*j - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -49616223.\nAnswer: -5\/49616223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-2))\/(-8*(26\/208)\/(-1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 57 (c) 5\/3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -52. Let y = 1.1 + -1.2. Let f = -2.36 - -1.36. What is the closest to 2\/13 in i, y, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/60 + s**4\/6 + 3*s**3\/2 + 2*s**2 - 18. What is the units digit of o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284985, -285013, -285041, -285069, -285097?\nAnswer: -285125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-4*-6)\/(sqrt(12) + sqrt(96)\/(sqrt(16)\/sqrt(2) + sqrt(8))) + 3.\nAnswer: 3 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.3 - 25.3. What is the second smallest value in -1, u, -0.51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0961399 months to centuries.\nAnswer: 0.00174678325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 266.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4\/7 (c) 90 (d) -5 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866250031?\nAnswer: 113, 137, 120551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1144*c**2 + 861*c - 23. Let x(v) = -286*v**2 - 215*v + 5. Let r(p) = 2*f(p) + 9*x(p). Find the second derivative of r(q) wrt q.\nAnswer: -572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -18*z**3 - 93*z**2 - 17*z - 12. Give l(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 33 = 183*g - 186*g, 0 = g - 4*a + 29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -57) + (-82 + 59 - -7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1559 (base 13) to base 6\nAnswer: -22232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2283591671?\nAnswer: -2283591667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 44*o - 2 = 0, 2*j - 8 = 4*o. Solve -2*t + 0*g = 2*g - j, 3*t + 5*g = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.364138 nanometers in millimeters?\nAnswer: 0.000009364138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 120?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2704491443 to the nearest one hundred thousand.\nAnswer: -2704500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 2*w - 4 = l, 5*w = -3*l + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away -4602951?\nAnswer: 4602951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*t + 4*k, -3*t = 2*t - k + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 12. Let o(b) be the third derivative of -b**4\/12 - 2*b**3\/3 - 9*b**2. Let x be o(i). Solve x*n - 2 + 4 = -2*d, 16 = -5*n + 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = 3*r - 16, -4*r = -4*p + 16. Suppose -n = p*n. Solve n = 4*k - 1 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7097.\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021574 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106335, -212672, -319009, -425346?\n\"Answer: -106337*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(2*o - 7*o + 2*o + (-3*o + 0*o + 2*o)*(2 - 3 + 2)) to the form s*o + u and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 323*n + 543. What is the ten thousands digit of r(63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from -131.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*k - 55, 4*k - 3*k = -4*q - 64. Let v(l) = l**3 + 15*l**2 - 6*l - 18. What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39870 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38802827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10573984.\nAnswer: 2, 61, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1354.4 - -1352.4. Is -636 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0)\/((-32)\/(-20))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/232)\/(30\/(-32))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15776482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984096 is divided by 196792?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191 plus -17220342?\nAnswer: -17220341.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 33123?\nAnswer: -33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) 4\/17 (c) -2\/11 (d) 0.03 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16)\/(20*39\/416)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 13, c: 1, g: 1}.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84, -83, -82, -81, -80?\n\"Answer: g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147873629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/25200 + h**6\/7200 + 5*h**4\/6 + 18*h. Let p(i) be the third derivative of j(i). Determine l, given that p(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -6*x + x. Let f = x - -31. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 48*p + 1404. Does 11 divide q(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8839 - 3583. Calculate the greatest common divisor of 72 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -1058 + 8416. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.14 + 24.14. Which is the third biggest value? (a) -0.3 (b) -4\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 633100*r**2 - 633104*r.\nAnswer: 4*r*(r - 1)*(r + 158276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9712260 and 9717?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5835, 5750, 5609, 5412, 5159, 4850, 4485?\nAnswer: 4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 6. Let c(m) = -m - 1. Let h(o) = -o - 1. Let r(z) = -3*c(z) + 2*h(z). What is -3*n(p) + 16*r(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-1 + -29)*1\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11 = t, -2*p + 2*t + 1 = -1. Suppose 0 = v - 2*x + 5 - 20, 0 = -2*v - 4*x + p. What is the second derivative of 16*j + 3*j - 12*j + v*j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11398, 11414, 11440, 11476, 11522, 11578?\n\"Answer: 5*d**2 + d + 11392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -245 - 2452. Calculate the remainder when g is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:50 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 - 12*d + 96 - 44 in the form j*d + w and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/14*(51 - 2) and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1629 (base 10) to base 3.\nAnswer: 2020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77440 and 990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 3*a**3 - 5*a**3 - a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/12)*c\/c**5)\/(((c*c\/c**(-2\/21)*c)\/c)\/(c\/((c**(-3\/5)*c)\/c))) assuming c is positive.\nAnswer: c**(-1853\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 + 2*s**2)*(s + 6*s + 9*s)*(3*s - 1 + 1).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -10, 2*q - 4 = 2*f - 4*f. Let d = 796 + -793. Solve -2*c - d*y - 13 = -0*c, -f*c = 5*y + 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 6) to base 12.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 6. Suppose d + d + 4 = 0. Sort d, -1\/7, g in decreasing order.\nAnswer: -1\/7, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g**2 + 423*g + 73. What is z(25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + 4*v - 188, v = 2*s - 97. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*p - 212, -2*p - 5*q = 3*p + 540. Calculate the smallest common multiple of 18 and 9\/(-6)*(p\/(-12))\/(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 17 = 3*b, 2*v - 262*b + 261*b - 11 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2327, 16077, 53395, 126065, 245871, 424597, 674027?\nAnswer: 1005945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(0 + -2 + 3). Suppose 4*x - m = -x. Suppose -11 = -5*t - 2*p, x*p = 2*t - 10 - 2. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931 at least as big as 3939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 12. Calculate the remainder when f(6) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 26827*k - 26834. Give w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2248 and -59\/443501176?\nAnswer: 443501176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 9961 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(10)*1*5)\/(sqrt(72)*2 + sqrt(2) - sqrt(2) - sqrt(2)) + (4*-1*sqrt(125) + -5)**2.\nAnswer: 2196*sqrt(5)\/11 + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52832 by -5.\nAnswer: 52832\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010737 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881 = -66*k + 89 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -4*u + 116 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let h = 484\/49 + -15465\/2156. Let d = h + -38\/11. Which is the third smallest value? (a) l (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710980?\nAnswer: 2, 5, 19, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 717774 and -19?\nAnswer: 717793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 87 = -5*d. Let t = -61 + 94. Suppose 0 = 34*a - t*a - 80. Calculate the highest common divisor of d and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.28964 microseconds in minutes?\nAnswer: 0.000000821494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3962, 7922, 11882, 15842, 19802?\nAnswer: 23762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**8\/168 - m**7\/105 + m**6\/30 + m**5\/15 - m**4\/12 - m**3\/3 + 18*m**2. Factor s(h).\nAnswer: -2*(h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*2 + sqrt(363) + -1)*5.\nAnswer: -5 + 165*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(70)*5 - (sqrt(70) - (sqrt(70) - 4*sqrt(70))*5))\/(6*1*(2*sqrt(640) - sqrt(640))).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 14*r + 16. What is the units digit of a(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2235 divided by -15\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(2\/(60\/(-35))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 347, 622, 911, 1220, 1555, 1922, 2327?\n\"Answer: t**3 + t**2 + 265*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 99176?\nAnswer: 99176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13891*k**3 + 21863 wrt k.\nAnswer: -41673*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 16. Let q(u) = 8 - 1 - d. Let r(a) = -a + 4. What is 6*q(x) - 2*r(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-6)\/132*-158 + (-14)\/77).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2613 + 4609. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 9. Let h be i(-8). Which is smaller: h or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13*w)**31*(w**14)**(-5\/9) assuming w is positive.\nAnswer: w**(3836\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {d: 10, e: 3, b: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbiibbbbbb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/50)\/(((-9)\/3)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(-4*sqrt(1000)))\/(-5*(sqrt(5) + sqrt(30)\/sqrt(6)) - sqrt(35)\/(sqrt(42)\/sqrt(6))) + -3.\nAnswer: -3 + sqrt(3)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + (sqrt(147) - (sqrt(147) - sqrt(147)*1) - sqrt(3)).\nAnswer: -1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 4*s + 3. Let a be f(-4). Let g = a - -98. Suppose -3*h - 2*d = -14 - g, -60 = -2*h + d. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546847 a multiple of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, b: 4, f: 3, a: 7}. What is prob of picking 1 b and 1 a?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**3 + 1 - 5*f**3 + 10 to the form z*f**2 + s*f**3 + o*f + n and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c**2 - 173*c + 7. What is m(9)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Find the third derivative of -3*n**5 + 2*n**2 - n**2 - o*n**2 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m - 3*m. Let k(r) be the second derivative of -2*r**2 + 2\/3*r**3 + 1 - 5*r. What is k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12885.59 milligrams in nanograms?\nAnswer: 12885590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431739 or -431738?\nAnswer: -431738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:18 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 36*h**2 + 69*h - 108.\nAnswer: 3*(h - 1)*(h + 4)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7343859596011 and -34.\nAnswer: -7343859596045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23278400 rounded to the nearest 100000?\nAnswer: 23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 35*b**4\/12 + 5*b**3\/6 - 13*b**2\/2 + 42*b. Is z(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.928405 micrometers?\nAnswer: 0.0008928405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8664 (base 9) in base 16?\nAnswer: 18e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183630*p**2 - 366502*p**2 + 182863*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -160d9 - 472?\nAnswer: -1656b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 3\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*d - 16, 0 = -4*u + u + 4*d - 20. Calculate the common denominator of (-4)\/16 + 101\/8 and (-50)\/u*(-6)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -19, 3 in increasing order.\nAnswer: -19, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 50*y**2 - 517*y + 1332. Give r(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8547 and 104451?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66928.\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 c when four letters picked without replacement from cvcvccvcvcc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9 and 76\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-8) - (-2)\/((-228)\/36 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuppc. Give prob of sequence dc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129508 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**40\/((j*j**(-47)*j)\/j*j) assuming j is positive.\nAnswer: j**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**2 + 2*c**2 + 3*c**2 + (-7 + 6 + 8)*(-4*c + 2*c**2 + 4*c) to the form z*c + v*c**2 + r and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 52, 0, -72, -164, -276?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:31 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, 19946, -2 in ascending order.\nAnswer: -19, -3, -2, 19946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**3 - 308*p**2 - 180*p + 500.\nAnswer: -4*(p - 1)*(p + 25)*(3*p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((11050\/(-68))\/(-65))\/(2\/12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*y - 6 = 0, -4*g = -4*y - 0*y - 12. Let v = 0 + g. Let u be (3*-1)\/(2*-1). Which is the nearest to 2\/7? (a) v (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8292 by -2764.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 95\/3, -4, -4\/15, 2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/(-16)*(-3 + 5 + (0 - -2)). Solve d = 46*h - 139 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 17*j**2 - 28*j - 9. Let g be h(6). What is the closest to -25 in -4\/7, g, 0, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r**3 + 6*r**2 - 6. Let f(g) be the first derivative of -11*g**4\/4 - 5*g**3\/3 + 5*g + 552. Calculate -6*f(h) - 5*s(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o, -3*j + o - 12 = -7*j. Let s = 14 + -8. Let a = s + 1. What is the remainder when a is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.088800635 rounded to 5 dps?\nAnswer: -0.0888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 33*h = -10701. Let i be ((-1)\/(6\/(-4)))\/(29\/h). What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 14) + (-27 - -50)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956754963.\nAnswer: 3, 131, 223, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436049601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.851 + -0.791. Let g = 13.94 + u. Which is the third biggest value? (a) g (b) 4 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118, 456, 782, 1090, 1374, 1628?\n\"Answer: -r**3 + 345*r - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(6) - (sqrt(600)\/sqrt(10))\/sqrt(10)))\/(-2*(5*sqrt(300) - sqrt(300)) + sqrt(300) + sqrt(300))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7535308 rounded to zero decimal places?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -1\/6, 1.22 in decreasing order.\nAnswer: 10, 1.22, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -27. Suppose 0 = 2*l, -g + f*g - l = -7. Let z(j) = 9*j - 16. What is the units digit of z(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*g + 14 = 0, -12 = -2*p + p + 3*g. Let i = -65 + 43. Let r = 51 + i. Calculate the remainder when r is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-7))\/d)**(4\/21)\/(d**(-4\/7)*(d\/d**(-2\/27))\/d) assuming d is positive.\nAnswer: d**(-122\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 4)\/(2\/4). Let y be (-3)\/t + (-3)\/(-28). Determine g so that -2\/7 + y*g + 2\/7*g**3 - 6\/7*g**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014702 rounded to seven decimal places?\nAnswer: -0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdep when four letters picked without replacement from vqddqpqezdedqeqzqpqq?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 45*l**2 - 27*l + 38. List the prime factors of z(5).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 4410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5 - 13*b**2 + 5*b**2 + 5*b - 5*b. Let t(m) = m**2 - 1. Let p(x) = -r(x) - 5*t(x). Let c(h) = -2*h + 3*h - h - 3*h. Determine c(p(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21251, -86086, -194145, -345428?\nAnswer: -539935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29997)\/7500 + (3 + 1)*1. Let h = 60007\/17500 - s. Factor h*p + 2*p**2 - 8\/7.\nAnswer: 2*(p + 2)*(7*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/1200 + 13*h**5\/600 - h**4\/6 + 3*h**3\/5 - 2*h**2 - 26. Factor k(l).\nAnswer: -(l - 9)*(l - 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-98)\/(-245)). Suppose -4*s + 82 = 3*j, f*j - 6*s + s = 93. Calculate the remainder when j is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 12*b**3 - 10*b**3 + 19*b**3.\nAnswer: -3*b**3 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -934162\nAnswer: 11209944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 16 = i. Suppose -i*q + 57 - 17 = 0. Let c = -5 + q. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11.7. Suppose -4*d = -d. Let x be 8\/18*(17 - (-1170)\/(-72)). Which is the closest to d? (a) x (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.21, -2\/5, -3, -204, 2\/3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7669868*g**4 + 28293887?\nAnswer: 30679472*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2860 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -0.009, -1\/3, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 9*r**2 - 9*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -292 times 20\nAnswer: -5840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjbvjjfjvvbj. Give prob of sequence fbj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 11, g: 5, f: 3}. Give prob of sequence iii.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 736 or 739?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 133 + -23?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 10*l**2 + 4*l - 6. Let r be o(3). Sort r, 2, 7, -8 in decreasing order.\nAnswer: 7, 2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**3 - 5*h**2 + h + 5. Suppose -3*d - 18 - 45 = 0. Let o be 120\/(-56) + (-3)\/d. Let l(y) = -4*y**3 - 2*y**2 + 2. What is o*t(v) + 5*l(v)?\nAnswer: -2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11965120.\nAnswer: 2, 5, 139, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-70)\/(-21))*4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46908 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: Suppose 5*m + 2*z + 5 = 0, 5*m + 5 = z - 6*z. Let x be 4 - (m + 6) - -3. Suppose n - 167 = -5*k + 4*k, -x*n - 4*k + 342 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 105 = -9*u. Let o be u\/(-4) - (2 - (-77)\/(-28)). Which is the nearest to -0.1? (a) o (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a. Let j(f) = -24*f + 99*f - 238*f**2 - 75*f. What is j(l(g))?\nAnswer: -11662*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/3852 and 113\/72.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose u - 2 = w, -r*w + 3*w - 10 = -3*u. Put w, 2, 4 in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401545 + 0.5?\nAnswer: 401545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 190176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69278 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -580*g - 2109. What are the prime factors of y(-6)?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 + 732*b\/5 + 1452\/5.\nAnswer: 3*(b + 2)*(b + 242)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**8\/420 - d**6\/9 + 19*d**3\/6 - 50*d**2. Let j(h) be the first derivative of p(h). Find the third derivative of j(q) wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8872161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 195 (b) -1 (c) -211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10573.3 + 10573. Which is the second biggest value? (a) -1726 (b) -2 (c) 0.1 (d) k (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4\/3 (b) 5 (c) 0.1 (d) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 13\/11) + -1. Let k = -12 + 12. Which is the third smallest value? (a) m (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100121002120011 (base 3) to base 14\nAnswer: -96a72c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 4602.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 1 + 6 - 4*p - 6*p. Let f be x(2). Let t = -3 - f. Solve y + t = 4*a + 5*y, -y = -5*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 75. Does 17 divide (-72)\/32*-8*j\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5396 + -5005. Calculate the greatest common factor of c and 690.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6 - 14) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**8\/112 - v**7\/42 - v**6\/60 + v**5\/10 - v**4\/24 - v**3\/6 - 2*v**2. Find a, given that o(a) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - i + 1. Let k(v) = -v**3 - 8*v**2 + 19*v - 8. Let f be k(-10). Give c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - (2 + 5))*((-60)\/(-10) + 2)\/14. Let 4\/7*w**2 + 80\/7 - 64\/7*w + q*w**3 = 0. Calculate w.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -8 (c) 4 (d) 8.6 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5)*i**14)\/((i*i**0\/i)\/((i*i**(-2\/61)\/i)\/i)) assuming i is positive.\nAnswer: i**(3772\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (11 + (-2)\/1). Let t be 8\/(-8) + (-4)\/14*r. Which is the third smallest value? (a) -5 (b) 2\/13 (c) 2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/9 - 608*b**3\/9 + 17020*b**2\/3 - 1686608*b\/9 + 19552058\/9.\nAnswer: 2*(b - 193)*(b - 37)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 4114136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*r**2 - r**3 - 1023*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 - 78094985*a**2 + 68067192*a wrt a.\nAnswer: -12*a - 156189970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 21*x + 97. Let c be a(12). Let s = -1673\/5 + 27631\/85. Is c less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 40. Suppose 0 = 5*h - 5*m + 155, -5*h - 6 - 140 = 4*m. List the prime factors of 10\/h + c\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:19 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-6))\/((-3 + 11)\/24). What is the fourth smallest value in 3\/5, -5, 8, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4887, 9772, 14657, 19542, 24427, 29312?\nAnswer: 34197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.86854253 rounded to 4 decimal places?\nAnswer: -5.8685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.68 + 1.32. What is the nearest to -2 in 1\/3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.66 - 1.86. What is the closest to 0.1 in -0.018, 2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762 by -127.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 0, -5*j = -5*f - 33 - 32. Let a be (6\/(-5))\/((-4)\/j). Suppose -a = -4*l + r + 24, -l + 4*r = 12. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/3))\/q)**(-42))**(-25)\/(((q*(q*q**(1\/3))\/q)\/q)\/(q*q*q*q*(q*q**(-8)\/q*q)\/q*q*q))**(4\/15) assuming q is positive.\nAnswer: q**(-31528\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.29 + -1.09. Let z be ((-5)\/(-30))\/(2\/(-6)). Which is the closest to -2\/15? (a) x (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q - p + 12 = 0, 0 = -3*q - 4*p + 14. Solve 0 = -r - r + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -469*v**2 - 6 + 6*v + 466*v**2 + 3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4304524 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(4 + -3)*-7. Let k be 6\/w + 6\/(-21). Suppose -n = 3*n + 2*b - 50, k = 5*n + 2*b - 62. Calculate the highest common divisor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4, -160, 1 in decreasing order.\nAnswer: 1, -2, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 188*v + 377. Let i be w(-2). Put -26, i, 5 in ascending order.\nAnswer: -26, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -12*q**2 + 9\/4*q**4 + 0*q - 5 + 0*q**3. Find the second derivative of z(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2583, 1, 2568, 2, 5 in descending order.\nAnswer: 2583, 2568, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + l = 30*p - 93, 2*l - 78 = -2*p. Suppose -3*t = -2*q + 2088, -3*q - p*t + 3125 = -45*t. List the prime factors of q.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 54308*k = 0. Calculate k.\nAnswer: 0, 27154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44814 + 44833. Solve 5 = -5*b, -21*c + d*c - 4*b = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1959b?\nAnswer: 19595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 18. Let m(x) be the first derivative of 4*x - 5\/2*x**2 - 21 + 2\/3*x**3. Let l(u) = -5*u**2 + 11*u - 9. What is n*m(t) + 4*l(t)?\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.0010332, 92, 2 in decreasing order.\nAnswer: 92, 2, 0.0010332, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 66024 + 66024.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30c1508 - -5?\nAnswer: 30c150d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bchb when four letters picked without replacement from {b: 4, c: 2, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -143500 to the nearest one thousand.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68436361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1\/4, -43, 66, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 18. Let t be x(8). Suppose t = u - 32. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505 = -39*r - 176*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 103, 70, -3, -128, -317, -582?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190890 rounded to the nearest 1000?\nAnswer: 191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 - -59)) + -3 - (-158 - -167)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-24)\/6. Which is smaller: n or -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by -4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1495.44179 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 717418523 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303387 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*-68*(1 + (-16)\/64). Let x = -405 - g. Solve 0 = -x*s + 11 + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 + 5*m - m + m.\nAnswer: 5*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2\/1)\/(4\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 5. Calculate v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -7. Suppose -u + 4*s = -5, 5*u + 27 = -2*s + 74. Calculate the smallest common multiple of u and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543264 (base 8) in base 7?\nAnswer: 6000655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -14*k + 12*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 13 + 64. Sort -5, w, 0, -4.\nAnswer: -5, -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 27*q - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(-2*sqrt(175) - sqrt(175) - sqrt(175)))**2.\nAnswer: 100803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 59\/15 + 7\/(-1050)*-10. Solve -3 = -h*q - 3*j + 8, -5*j = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1976)\/(-18) - 3\/9. Let r = x - 109. Let u = -10\/9 + r. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 10 - 8 = 2*f, -f - 21 = 5*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16494551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -273*b**2 + b**3 + 3 + 2*b - b + 271*b**2. Let w be c(0). Solve 5*p = 6*p - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + -2 + sqrt(3) + sqrt(240)\/sqrt(5) + 4.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:01 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24595170?\nAnswer: 2, 3, 5, 641, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 66. Calculate k(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.466005 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4357 - 157?\nAnswer: -4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 31 = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**2 - 181*l - 9. Calculate j(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 52530*u - 262775.\nAnswer: 5*(u - 5)*(u + 10511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, 295, 1329, 3355, 6703, 11703, 18685, 27979?\n\"Answer: 55*k**3 + k**2 - 16*k - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2781, -1, 18 in ascending order.\nAnswer: -2781, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 + 19*x - 16. What is y(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-836))\/((-24)\/57)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by -2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 162 = 15. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5036 = 256*p - 7848 - 12548 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**3 + 30*l**3 - 72*l**3 + (-l**3 - 3*l**3 + 3*l**3)*(1 - 2 + 2) + 0*l**3 - 4*l**3 + 6*l**3 to a*l**2 + d + s*l + p*l**3 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Let w be t\/2 - 2\/(-4). Let r(u) = 82*u**3 - u**2 - u - 2. Let c be r(w). What is c rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15446 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(10 - 203 - 133)*(0*g - 1 - 2*g - 1).\nAnswer: -652*g - 652","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viy when three letters picked without replacement from ivivvyvyiivv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. What is the second derivative of 2*q - 2*q - 5*q**o + 2*q**3 + q wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 26444 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19750 and -8.3?\nAnswer: -163925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -8. Let x = v - -17. What is the highest common factor of x and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o - 41*o + 5*l + 9 = 0, -4*o - 2*l + 6 = 0. Solve 0 = -5*c + 5*n, 0 = -o*c - c + 4*n + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 10, -0.3, -1, 21\/11, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37895 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z - 6. Let r be s(-7). Let q(h) = 5*h + 1. What is q(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 6*l + 8 = 0. Which is the closest to 2? (a) l (b) -3 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 - 3*o - 11. Let v be l(5). Let y be (3 - -15)\/(3 + v). Suppose -4 = -y*a + 5*a. Solve 4*r - 3*r = a, 3*r + 1 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 71125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-2*sqrt(34)*-6 - 2*sqrt(544))\/(-1*sqrt(32) - sqrt(32) - (sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2401, -2426, -2479, -2560, -2669, -2806?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0477 times 0.069\nAnswer: -0.0032913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (0 - -4)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-17) - (13 - 76650\/6120)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385843201?\nAnswer: 643, 1279, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:09 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 164\/11, 0.98, -37\/4?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*d)*(2 + 0*d + 6*d - 2*d).\nAnswer: 24*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 3:20 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y - 1800 = 17*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 831*1.804.\nAnswer: 1499.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*q - 10 = 0, -2*q = 7*v - 2*v + 1. Let a be 1 + v + 0 + 486. Let m = 25146 + -25092. Calculate the highest common factor of m and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvvatmaaaccaaaaava. What is prob of picking 1 c, 1 v, and 1 m?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from gggdgqdgiqgqqgiqgggq.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1419*r + 5*x + 5 = 1420*r, -10 = -2*r - 3*x. Let v = -101\/4 + 25. Which is the nearest to v? (a) -27 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388 or -43?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -31*p**3 + 716*p**2 - 136*p + 1563. What is w(23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*r**5 - 5*r**4 + 636*r**2 wrt r?\nAnswer: 4320*r**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**(1\/3)*c*(c*c*c*c**(2\/9)*c)\/c*c**5)\/((c**(-5)\/(c*c\/c**(-1\/2)*c*c))\/((c*c**4)\/(c\/(c\/c**(-2))))) assuming c is positive.\nAnswer: c**(445\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 3 + -5 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.167 + 0.067. Let b = 8.8881 + -9.988103. Let a = z - b. Round a to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64593, 128963, 193127, 257085?\nAnswer: 320837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*y - 5*w, -2*y + w - 24 = 8. Let d be -1 - -20 - (y - -19). Solve n + 0*x = -4*x - 9, 4*n - 2*x = -d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 3, 0 in increasing order.\nAnswer: -49, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151540 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -385\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.18 - -0.18. Let p = c - -4. Let u = 0.33 + -0.03. What is the smallest value in p, -0.5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**4 - 4*u**3 - 8*u**2 + 4*u - 264. Let p(j) = 15*j**4 - 5*j**3 - 8*j**2 + 5*j - 265. Let k(x) = -5*n(x) + 4*p(x). Differentiate k(b) wrt b.\nAnswer: -60*b**3 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.025, 3, -6\/11 in increasing order.\nAnswer: -6\/11, 0.025, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -4227*f**5\/20 - f**4\/4 + 83*f**2 + 2804*f. What is the third derivative of w(l) wrt l?\nAnswer: -25362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 2 = 15*i. Suppose -z = i*z + 9. Which is the closest to 0.1? (a) 5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5433887 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let f be (-1)\/(v - -1)*5. Suppose -5 = -f*o - 5*r, -4*o + o + r = -15. Calculate the lowest common multiple of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgyyylyydyydjgydy. What is prob of sequence gjd?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 644597489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4288*r - 3031*r - 4431*r.\nAnswer: -11750*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**3*d**2 - 2*a**3 + 13334*a**2*d**2 - 1751*a*d**2 + 2*d**2 wrt a?\nAnswer: -24*a*d**2 - 12*a + 26668*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 - 2*f**5\/15 + 7*f**4\/24 - 13*f**3\/6 - 2*f**2. What is the remainder when 8 is divided by s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001204834.\nAnswer: 2, 7, 17, 61, 68963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -2\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (18 - (1 - -11) - 13) + -48.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 48\/28) + 97184\/112 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.5 (b) -55 (c) 329 (d) -1\/58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/2 - 61\/6. Let b be -4*-10*(-1)\/8. Let a = u - b. Put 5, a, -3 in increasing order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**6*v + 3256875*a**4*v - 72848*a**2*v + 7*a*v wrt a?\nAnswer: -480*a**3*v + 78165000*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -141, -1, -4 in ascending order.\nAnswer: -141, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5*n**4 - 2*n**4 - n**3 + 3 - 2*n - n**3 as l + k*n**2 + c*n**4 + p*n**3 + i*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihfifidhiiidiiifd. What is prob of picking 1 i, 1 f, and 1 d?\nAnswer: 81\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 5:13 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, e: 1, x: 1, j: 1}. What is prob of sequence jxp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157420, -33, -1, 5, 2 in ascending order.\nAnswer: -33, -1, 2, 5, 157420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from rvlulddp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*v + 53 + 322*v - 53 - 634*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1607, 1565, 1527, 1493, 1463?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -11 - 0 - (37 - (45 + -13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - 5019*y + 2785. Let g(v) = v**3 + 1. Let p(h) = 3*g(h) - i(h). Differentiate p(b) with respect to b.\nAnswer: -6*b**2 + 5019","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 230.1969112.\nAnswer: 229.8969112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133a3 (base 13) to base 5.\nAnswer: 2121132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = m - 3*y, y = -5*m + 3*m + 113. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149939 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 5:04 PM and 7:37 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:04 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 - 1\/3*h**3 - 4*h**2 + 0*h + 1\/8*h**4. Let k(u) = 13*u - 9. Calculate -2*k(w) + 9*o(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 33*b**2 + 231*b + 19. Let r be q(6). Let z = 3 + -1. Suppose -z = 3*j - 5. Solve 2*p = c - j, -5*c = -3*p + 1 + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.129 + -16. What is s rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8038532*u**4 + 10309656*u wrt u.\nAnswer: -96462384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.156 * 27511.\nAnswer: 4291.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -284 - -290. Let c(t) be the second derivative of 5*t**4\/12 + t**3\/2 - t**2 - t. Let k be c(2). Solve -5*j = -2*u - k, j = 2*j - u - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/13 + 12*i**2\/13 - 18*i\/13 - 28\/13 = 0?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12657600 divided by 93760.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1666 + 1696. Which is the third biggest value? (a) 0.1 (b) 1\/3 (c) 1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4107*x**3 - 192080727*x**2 - 20765448*x - 561228 = 0.\nAnswer: -46769, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21469 or -268?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2168214?\nAnswer: 2, 3, 17, 29, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8018, -217, -3 in ascending order.\nAnswer: -217, -3, 8018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/24 - (-6 + 94\/16). Suppose f = 4*q - 22, -3*q + 3*f + 11 = -2*q. Solve n*l - q*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x**2 + 7*x - 7. Let p(g) = 3*g**2 - 2*g + 2. Let a(q) = 2*c(q) + 7*p(q). Let z(u) be the second derivative of u**4\/12 - 2*u. Calculate z(a(o)).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 a when four letters picked without replacement from paaunauaquan.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 0.266, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1759903 rounded to 3 dps?\nAnswer: 5.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1672, 3319, 4952, 6565, 8152, 9707?\nAnswer: 11224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*a - 144 = 153 + 1658 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and 97\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - m + 2*m + 2 + m**2 - 2*m + 2*m - 3*m**2 + (-2*m - 5*m + 5*m)*(-5*m - 2*m + 5*m) + (-2*m - 2*m + m)*(-4*m + m + m).\nAnswer: 8*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -25.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 472, 529, 624, 757?\n\"Answer: 19*b**2 + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11586.90424 to the nearest integer.\nAnswer: 11587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3.694\nAnswer: -3.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. What is the remainder when 17 is divided by s(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1.61 (b) -18 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 57640, 0, 7 in ascending order.\nAnswer: 0, 2, 7, 57640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 318982*q**2 - 25. Let p(x) = -3*x**2. Determine a(p(r)).\nAnswer: 2870838*r**4 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678849 - 12*s**2 - 678848 - 74*s**2.\nAnswer: -86*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3))**(-37)\/(((a*a**(9\/2))\/a)\/a*a*a*a\/a**3) assuming a is positive.\nAnswer: a**(-391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/10 + 11*u**4\/12 - 4*u**3\/3 - u**2\/2 + 45*u. What is the second derivative of f(d) wrt d?\nAnswer: -12*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -246*(2\/(-11) - (-10)\/(-66)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170101048?\nAnswer: 2, 29, 109, 46271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136379 rounded to 6 decimal places?\nAnswer: -0.001364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 22. Let m = a - -49. Calculate the highest common factor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1736715 + -17?\nAnswer: -1736733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*v = 1324*v + 182, 4*m - 4*v = 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6*v + 445. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lttteezzleje. What is prob of sequence ell?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221020 + 10?\nAnswer: -12221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -193.797767 and -167?\nAnswer: 26.797767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 729725 = 5*c - 354263, -2*c - 5*y = -433615. What is c rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 33 = 3. Suppose -z*s - 5*p = -5*s - 29, s - p = -1. Solve -s*y + 13 = 1, y = 4*h - 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1959 and 4.\nAnswer: 7836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9882.04 + 9882. What is the fourth biggest value in 5, -4, 1\/9, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 - 15. Let f be 3 - 12\/(-20)*-5. Calculate h(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/357 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l - 8. Let n(q) = -q**2 - 7. Let m(h) = -4*a(h) + 5*n(h). Let s be m(-3). What is the tens digit of (2 - (1 + s)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102844.023 + 102801. Round c to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 22*k**2 - 5*k + 126. Let t(m) = m**3 - 12*m**2 + 3*m - 64. Calculate -7*t(w) - 4*x(w).\nAnswer: -3*w**3 - 4*w**2 - w - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbdbdfbvbbf. What is prob of sequence vf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + (-8 + -3)*-6 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 - 486189*n**3 + 78768923457*n**2 - 4248604642030847*n - 639064638476534550 = 0 for n.\nAnswer: -150, 162113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/52)\/(8808\/(-11450400))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-4)*0)\/(-2). Suppose q = -27*u + 23*u + 32. Calculate the remainder when 77 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70468316 take away 0.3?\nAnswer: -70468316.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*w - 11*w - 25*w - 196*w**2 + (2*w + 2*w - 3*w)*(-2*w + 4*w + 0*w).\nAnswer: -194*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44394422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 191616 - 4?\nAnswer: 191612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2045 and 50?\nAnswer: 20450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 64261?\nAnswer: 257044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a\/((a**(-7)*a)\/a))**(-1\/2)*(((a**(2\/7)\/a*a)\/a)**(-1\/12))**(25\/3) assuming a is positive.\nAnswer: a**(-505\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 - (3 - 8\/2) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c - 8. What are the prime factors of t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79 + 3*k - 49 - 45 + (5*k - 3*k - 4*k)*(0 + 0 + 2) - 97 + 12*k + 97.\nAnswer: 11*k - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 27*o - 72. Suppose -4*j - 119 = -5*b, 4*j = 3*j + b - 30. What is the thousands digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406773 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-5 - 5 + 6)*(87 - 8*i - 87)*(5 - 25 - 1) in the form x*i + u and give x.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8862*g**3*r + 145*g**2*r**2 - 168888*g*r**2 - 2*g*r + g + r**2 - 4*r - 1 wrt g.\nAnswer: 53172*g*r + 290*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7715.07025 rounded to 0 dps?\nAnswer: 7715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -414671\/144 or -2879?\nAnswer: -2879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 - 205481*h**2\/3 + 821942*h - 2465844.\nAnswer: -(h - 6)**2*(h + 410974)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -245 (b) -8 (c) -2\/7 (d) 0.19 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (276 - 252)\/(108\/99)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -59?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let o(r) be the second derivative of 11*r**4\/12 + r + 24. What is o(h(m))?\nAnswer: 44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 799627 + -1373727. What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143530 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-1\/4)*((k\/k**(2\/3))\/k)**(-10\/13) assuming k is positive.\nAnswer: k**(20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141671, 566700, 1275081, 2266814, 3541899?\nAnswer: 5100336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 7755?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11259817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -3886725830.\nAnswer: -3886725830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 58*b = 53*b - 5, 2*b + 4 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/1)\/((52\/4)\/104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 12*y**2 - 8*y - 14. What is n(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091*m**2 + 42382*m + 42395*m - 127158*m + 42381*m.\nAnswer: 1091*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -779223*z + 779176*z + 31 + 27 + (-3*z + z + 4*z)*(-1 - 3 + 5).\nAnswer: -45*z + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o**19*o*o)*o\/o**(-9)*(o*o\/o**(-7\/4))**30 assuming o is positive.\nAnswer: o**(201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let z be -2*(-3)\/(-6) + 1*3. Let k(h) = 12 - 12 + z*h - 21*h. Calculate f(k(s)).\nAnswer: 361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*u = 97*u + 18. Suppose 0 = -u*y - 246 + 3147. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -62. Which is the closest to -1\/14? (a) 0.1 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((-7)\/((-35)\/(-10))). Suppose 12*c + v = 14*c. Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -687 in decreasing order.\nAnswer: 1, -1, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43285 or 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -3 (c) -23 (d) -519 (e) 2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3786, -0.35, -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 18*s + 1. Give c(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2492851301 to the nearest integer?\nAnswer: 49928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 4 - 7*g - 3*g**3 + 3 - 3*g**2 + g**2. Let c(l) = -l + 20. Let r be c(16). Does 7 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/((-15)\/(-40)). Suppose d + 0 - h = 0, 4*q + 5*d - 284 = 0. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(331101*z + 14*z**2 - 15*z**4 - 331101*z).\nAnswer: -15*z**4 + 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-2) + 6\/2. Let t(x) = -x**3 + 4*x**2 + x - 3. Let v be t(3). Solve 2*m - v = -3*u, 5*m = -2*u - 0*m - h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 6*l**2 + l - 4. Let b be j(6). Solve -3 = 3*p - 0*p - f, 2*p + f + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -60. Let o be (1\/2)\/((-5)\/(-230)). Let g(h) = -h**2 + 12*h + 12. Let n be g(13). Sort n, z, o.\nAnswer: n, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 891 in 1, 2, -5, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -33.2. Let x = -2.7999992 + r. What is x rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*s + 1 - 78*s - 142*s - 1 as v*s + n and give v.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 382.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 - -10) + -1 + 0 + 7. Factor 4*k**2 - 5 + 5*k**3 - 8*k**2 + 10*k + 0*k - 11*k**v + 5*k.\nAnswer: 5*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -28. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 + 4 + 2108*g - 2061*g.\nAnswer: 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/6)*f*f)**(-2\/75) assuming f is positive.\nAnswer: f**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9758 in 5, 0.0596, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/125)\/(28\/(-35))*-1*4\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = 42. Let f = -0.03 - -0.33. Which is the fourth smallest value? (a) f (b) h (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16414 - 12161. What are the prime factors of w?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27833, 27848, 27863?\nAnswer: 27878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) - (5 + (-1*sqrt(252))**2).\nAnswer: -257 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2. Let v(h) be the first derivative of h**2\/2 + h + 3. Let i(d) = b(d) + 2*v(d). Let z(u) = -12*u - 17*u + 44*u - 11*u. Give z(i(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 8, -33, -112, -241?\n\"Answer: -2*d**3 - d**2 + 2*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658531 is divided by 750?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*h + 2*h + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + x**2)*(25*x + 8*x - 16*x) + 26*x**3 + 28*x**3 + 5*x**3.\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-2241)\/(-4))\/1*(-224)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -4, -0.5, 0.4 in decreasing order.\nAnswer: 0.4, -0.5, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 224557393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q - 2. Let b(o) = -15*o**3 + 28*o + 1526. Determine b(j) - 14*p(j).\nAnswer: -j**3 + 1554","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**5\/12 + 5*h**4\/24 - h**3\/3 + 4*h**2. Calculate the lowest common multiple of 4 and f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 6, q: 4}. What is prob of sequence tq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 155, 157, 159, 161?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/20 + j**3\/2 + 3*j**2\/2 - j. Let d be 0 - 3\/((-6)\/4). Suppose -5*x = 12 - d. Give h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/2839 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075762976?\nAnswer: 2, 19, 977, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/5 - 5*n**3\/6 - 5*n**2\/2 + 4*n. Let i(l) = -2*l**3 + 2*l + 2. Determine -2*d(a) - 5*i(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*f + 282, y + 3*y - 332 = -5*f. What is the lowest common multiple of f and 18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -25*i + 1. Calculate j(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.04, 4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 107. Suppose 4*w - 108 + 20 = 0. Calculate the least common multiple of w and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 18*w**2 + w - 2. Suppose -2*c + 4*c = 36. Let k be f(c). Suppose 6*q = 14 + k. Solve q*u + 3 = 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174 or 1?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4598 - 15877 = 0. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*v + 4*u, 5*v + 4*u + 16 = 6*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0a (base 16) to base 10.\nAnswer: -3082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) 4056 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -11\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**2 + 0*p**3 + 0 - 1\/24*p**4 + p. Determine g so that w(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 1110111111?\nAnswer: -1111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6540268571?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (1 - 0) + 4. Let x be 30 - (0 + 9\/(-1 + -2)). What is the greatest common divisor of x and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 37. Suppose -3*o - 19 = -k. Suppose -3*w + o*z + 30 = 0, 0 = 3*w - 2*z + 5*z - 6. Solve -4*f - 6 = g + w, 4*g - 8 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from frfcftcrefrffrfcff.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/7650 and -37\/3450.\nAnswer: 175950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 879586*f**3 - 71*f**2 + 29*f**2 - 879678*f**3 in the form w*f + g*f**2 + d + p*f**3 and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - 0.27. Let i = 44 - 49. Let k = 10 + i. What is the second smallest value in 1, k, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z - 158. Let l be i(8). Suppose 0 + 2\/5*g**5 + 4\/5*g**4 - 4\/5*g**l - 2\/5*g + 0*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 11*m + 7. Let v be d(-10). Suppose 0 = h - 4*y + 2, -4*h + 39*y = 34*y - 3. Sort h, 96, v in descending order.\nAnswer: 96, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1988 - 1985. Solve -15*u = -5*u - j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-26)*(-2)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13633758 and 6234.\nAnswer: 13633758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11331 divided by -3\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8*c = -p + 181, c + 326 = 2*p. Let a = -102 + p. Suppose 0 = -t - 5*m + a, 308 = 5*t + 3*m + 59. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-4) - (13501\/(-92) - -88)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1178*h + 1186*h + 1194*h - 4747*h + 1187*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*x - 19, x - 3*u = -79 + 72. Let d = 3 - -1. Solve -3*t - 3 = -4*b + x, -4*t + d*b = 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10310 + -9122. Calculate the smallest common multiple of 18 and v.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 1, -0.0092, 0.5, -0.2, 3 in ascending order.\nAnswer: -0.2, -0.0092, 0.5, 1, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2012 - 13701*b - 4022 - 2206*b + 2010 to the form s*b + q and give s.\nAnswer: -15907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*f + 2, 2*q + f = q - 5. Let i be -4*(-1)\/(-4)*-3. Suppose 3*l - b + 6 = 0, -2*l + 5*b - 20 = -i. Is l less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 2. Let o be s(-6). Suppose -4*f - 3*q = 2, 0*q - 3*q = -5*f + 11. Put 5, o, f, 0 in ascending order.\nAnswer: 0, f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 - -6c33?\nAnswer: 6c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1323949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14. Solve 5*t - 2*t = s - 1, 2*s + 6 = d*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/4))**40\/((a*a**(-1)*a)\/a*a)**(5\/11))**32)**40 assuming a is positive.\nAnswer: a**(-147200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9906 is divided by 354.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 0*j**4 + 0*j**4)*(-3*j - 5 - j + 2).\nAnswer: 12*j**5 + 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108205557?\nAnswer: 3, 5737, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n + 5. What is the third biggest value in 1\/6, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)*5\/10. Suppose -l = -4*t + 103. Suppose -2*c = -y + 38, -3*y + 5*c + 92 = -t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75873731 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1)*v)\/(v*v**(-2\/15)))**5)**(-38) assuming v is positive.\nAnswer: v**(-1216\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, 348?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255548980 is divided by 1247?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 j, and 1 w when four letters picked without replacement from {h: 1, z: 1, u: 3, n: 3, j: 2, w: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r*r*r**(-17))\/r*r))**(-5\/12))**(-34) assuming r is positive.\nAnswer: r**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 16. Let t(y) = y + 15. Let g(f) = 4*i(f) - 3*t(f). Let m = -27 - -41. What is the units digit of g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(-7)\/(q**(2\/3))**(27\/5) assuming q is positive.\nAnswer: q**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*x + 73 - 30 = 31, -3*x - 16 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35081*q - 280653. What is p(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000011011001010011 (base 2) to base 6.\nAnswer: -1101045415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -6\/179 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-165)\/25)\/(((-84)\/20)\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = -2. Let b(a) = -3 + a**2 - 2*a**3 + 3*a**3 - 2*a + 4. Let r be b(d). Solve 2*t - 5 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1389 + 1389 + 1752*n**2 as m + y*n + h*n**2 and give h.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73108272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1172 divide 394284240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 34*b - 49)*(b + b - b) - 2*b**2 + 6*b**2 - 2*b**2.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/390*25\/(-10))\/(116\/26)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-10)\/25)\/(-1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 470 - -1970?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 - (1625 + -1650)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + -1 + (sqrt(539) + -1)**2)*6.\nAnswer: -78*sqrt(11) + 3234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 60085144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13250082 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-35)\/(665\/(-114)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-4))\/u))\/u**0)\/((u*u**8)\/u*u*u**(-1\/6)*u) assuming u is positive.\nAnswer: u**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37200 = 18*j - 15648. What are the prime factors of j?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 10 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 - -0.46. Let t = -0.35 + l. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66) - sqrt(66)*3) - sqrt(66) - (sqrt(66) - 2*(sqrt(66)*5 + sqrt(66))))\/(sqrt(6)*3*3 - (sqrt(6) + 2*sqrt(96) + sqrt(96))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236314*h = -236108*h - 2884 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2233 = -2191 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a1 + -1?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 3*o**4\/20 + 3*o**3\/5 + 3*o**2\/5 - 3. Factor x(p).\nAnswer: 3*p*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 583, 2, -13, -2\/13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*15\/18*28\/(-35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let k be v\/5 - (-2471)\/35. Suppose -k - 19 = -5*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.0000106 - 11. Round r to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 16, 21, 26, 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = 2*j - 18, j = -3*q + 19. Let v = -7 + q. Let w = 15 + -14.7. Put v, w, -1 in ascending order.\nAnswer: v, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 1 - 1)*(-2547 - 3*s + 5080 - 2542).\nAnswer: 9*s**2 + 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 505716 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -382, 9, 3 in ascending order.\nAnswer: -382, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81199986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426784*w**4 - 14588*w**2 - w + 22?\nAnswer: 10242816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -229\/51 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3460 times -115\nAnswer: 397900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from leululylyylylybyeul?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.059 - 33.941. Let i = -20 + 11. Let c = i - l. Is 3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5485530 + 0.5\nAnswer: -5485529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 22*k + 88*k - 58*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.1. Let t = 1\/66 + 31\/132. Which is the third smallest value? (a) p (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43775 (b) -1.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8005 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*v, -123 = 5*g + 2*v - 139 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339113.\nAnswer: 3339113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4812 divided by -3?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let l(g) = -2 - 5*g**2 + g**3 + 0 - u + 104*g - 100*g. List the prime factors of l(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.11.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(2 - 3 + 0) + 3 - 3*d - 3 + (-4 - 2 + 4)*(-4*d + 0*d + 2*d) - 2*d + 0 + 0 - 3*d + 6*d - 2*d - d - 3*d + 0*d - 7*d - 14*d + 18*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 375437704*k**3 + 8809592224487172*k**2 - 17619183322661248*k + 8809591473611776 = 0.\nAnswer: 1, 46929712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1631 + 13f?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 - -11024203?\nAnswer: 11024322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let r(p) = -11459*p. Give r(y(k)).\nAnswer: 11459*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(140) + -2*sqrt(140))\/sqrt(10))\/sqrt(7) + 3))**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (18 + 5)) + 3. Let p = h + 28. What is the lowest common multiple of 14 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u + 678 = -8*b + 13*b - 48, u + 63 = 2*b - 54 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:48 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.09 + 0.09. Let u = i + 1.5. Let q = -2444 - -2443. What is the nearest to q in 6, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3846.000468 + -3846. Round k to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -12. Let o be (r\/4)\/((-6)\/(-20)). Suppose 3 = 2*s - o. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 1542*b\/5 - 198147\/5.\nAnswer: -3*(b - 257)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*o - 20*d + 18*d, 3*d = 0. What is the remainder when 252 is divided by o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) 1\/4 (c) -28 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 13. Let x(u) = -3*u + 27. Let i(h) = 13*t(h) + 6*x(h). Let y be i(-2). What is the derivative of 0*a**3 + 1 - 8*a**3 + 0*a**y - 6 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:20 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2653999.0774 - -0.4.\nAnswer: -2653998.6774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*l = -1653 + 1686, -10*l + 82 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18697574?\nAnswer: 2, 7, 23, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/60 + (-1)\/5. Let s = 5 + -5.1. Which is the nearest to s? (a) 3\/4 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 6*p - 1. Let o be c(6). Calculate the greatest common divisor of 175 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342647735?\nAnswer: 5, 68529547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -147. Let s(q) = q**3 + 10*q**2 + 13*q - 15. What is the units digit of s(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 121*t - 58. Let g be m(1). Solve -12 = -57*v + g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-24)*(-1088)\/864?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11613 - -7?\nAnswer: 11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 11*j - 2*n + 14, -16 = -4*n. What is the closest to 3.4 in j, 5\/6, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = 36*m - 47*m + 56, 4*v - 5*m + 4 = -24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 - 3*c**3 - 13*c**2 - 24*c - 3035. Let g(d) = 0. What is d?\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192))*6 - ((sqrt(12) + 1)**2 + -2).\nAnswer: -17 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q - 15. Calculate the smallest common multiple of 27 and h(-3).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:44 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 10*g - 50. Suppose 0 = -16*z - 188 - 36. Calculate w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flxmlscf. Give prob of picking 1 m, 2 f, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 2*a = 3*i + 93, -4*a - 18 = -2*i. Let g(m) = -234*m**3 - 5*m**2 + 6*m - 15. Let l be g(i). Round l to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + 156\/7. Let m be w\/6 - (-8)\/6. Suppose -4*v + m*o - 60667 = 18548, 4*v - 3*o + 79209 = 0. Round v to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-700876)\/(-30921))\/(8\/(-6))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12052 - 323?\nAnswer: -12415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**3 - 24*s**2 + 28*s - 3. Let g be c(1). Solve 2*d = q - 8, 8*d - g*d = -q + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 15*t - 9. Let v = -49 - -38. Let m be l(v). Let k = 48 - m. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47026 and 18956?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 9 + 1 + 1. Let t be u(2). Let o(n) = -1599*n**3 - 2*n**2 - n + 2. Let z be o(t). Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 5, 0.2, -2, 1\/2 in descending order.\nAnswer: 5, 1\/2, 0.2, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -77 + -19 + (16 + -15 - -2).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51738*y - 25764*y + 1 + 5*y**2 - 25622*y + (-2*y - 1 + 1)*(4*y + y - 4*y).\nAnswer: 3*y**2 + 352*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2 = v - 3*j, 4*j = 4*v + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.7071 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 3*z**2 - 4*z - 6. Determine n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145523426 to the power of 1\/2, to the nearest integer?\nAnswer: 12063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/5 - 2\/(-5). Suppose 54 = -5*r - 3*f, -4*f = -4*r + 19 - 75. Find the common denominator of r\/h - (-403)\/60 and 11\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = -2*y - 8, 0 = 3*l - 2*y + 10. Let m(o) be the second derivative of l + 0*o**2 + 5*o + 7\/6*o**3. Let z(a) = -a. What is -m(n) - 6*z(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and 5\/2396.\nAnswer: 4792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooolooooooloollol?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let k(r) = -4*r**2 - 4*r - 4. Let d(x) = k(x) - 4*w(x). Let a(i) = 3*i**2. Determine a(d(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttjttjggtggjjjtt. Give prob of sequence jgj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-29 - (-19 + 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0338 + 0.0662. Sort -4, 2\/37, g in increasing order.\nAnswer: -4, 2\/37, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 116320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -160000\/3 + 800\/3*g - 1\/3*g**2 = 0.\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - -7) + -245 + 247\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 4*f + 5. Suppose 0 = -352*u + 351*u. What is y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9239262 divided by -12189\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*o + 3*o. Suppose -2*d - 26 = -2*s - 4*d, o = 2*d. Is s at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:34 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3*o**2 + 26*o - 16*o - 13*o).\nAnswer: -6*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 + 4*x + 8. Suppose 14*b = -32 - 38. Let m be u(b). Let s be (16\/4)\/((-2)\/m). Solve 5*i + s = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635 is divided by 684?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y**3 + 18*y**3 - 54*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 950 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 9. Let k be f(7). Let l be 2\/k - (-69)\/15. Let h = 6 - l. Solve 3*r - 4*i = -h, 6*r - 3 = r + 2*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**6\/6 + 3*t**5 + 5*t**4\/4 - 5*t**3 - 5*t**2 + 4. Factor v(u).\nAnswer: 5*u*(u - 1)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1 + 2*n**2 - 6*n + 4 - 3*n**2. Suppose 3*f + 25 - 10 = 0. What are the prime factors of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 16*z**3 + 62*z**3 - 12*z**3 - 13*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3576, -24, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 4 - 1 + 0)*(-3*q + 5*q - 3*q)*(3 - 4 - 4) to the form t*q**2 + f*q + d and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*x + 12, -2*d - 3*d + 25 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -0.017 (c) -5 (d) 39 (e) 0.3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 9*b = 40. Solve 0*d = b*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383716, 383630, 383488, 383290, 383036, 382726?\nAnswer: 382360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzfpzzfzzzzz. What is prob of picking 1 p, 2 z, and 1 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5743144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-70) - (-6 + 40\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1f297b9?\nAnswer: -1f297be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000174 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(448) - (sqrt(448)*3)**2) + 1 + ((sqrt(126)\/sqrt(9))\/sqrt(2))**2)*-3 + 4)*-2.\nAnswer: -288*sqrt(7) + 145192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295994381 to the power of 1\/3, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 114*x**3 + 29*x + 28. Calculate a(-1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 365 + 0?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 29 - 2\/3*r**3 - 12\/5*r + 17\/5*r**2. Solve s(h) = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*d - 40, 4*d + 12 + 20 = 4*w. Suppose 24 = -w*u + 11*u. Let y be (-3)\/(-2)*2 + 0. Solve 5*z + u = y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 20, 48, 98, 176, 288, 440, 638?\n\"Answer: z**3 + 2*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134340976 and 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 4. Let l be u(2). Let g(s) be the third derivative of s**2 + 0 + 0*s - 1\/3*s**3 - 1\/30*s**5 + l*s**4. Find the first derivative of g(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/((14\/(-10))\/7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25227 + 25230. Let y(p) be the first derivative of p**4 + 4\/3*p**h + 12 + 2*p - 3*p**2 - 6\/5*p**5 + 1\/3*p**6. Factor y(c).\nAnswer: 2*(c - 1)**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115955073?\nAnswer: 3, 13, 991069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 + 63*p**4 - 222*p**3 - 1074*p**2 - 1215*p - 429 = 0.\nAnswer: -1, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129410 is divided by 376407.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 69 - 9 - (18 + -54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 168 = 2*l + 188 - 48, 0 = -91*l + 91 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g - 71. Let b be q(-8). What is the highest common divisor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + s - 2. Let r(o) be the third derivative of -o**4\/24 + o**3\/6 - 7*o**2. Give 2*r(u) + t(u).\nAnswer: -4*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let l be (1 - 3) + j + 4. Sort l, -5, -3 in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98\/4*(-24)\/(-14). What is the common denominator of (-18)\/63 - 478\/c and 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/272 and 53\/1827408.\nAnswer: 31065936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from {o: 2, a: 3, t: 1, c: 2, f: 3, e: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*n**4 - 2 - 33*n + 48*n**4 + 25*n to q*n + g + y*n**4 + x*n**3 + w*n**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 337, 4, 5, -1089 in decreasing order.\nAnswer: 337, 5, 4, -1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.8079um to kilometers.\nAnswer: 0.0000000958079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**2 + 21*m + 21. Let w(h) = 34*h**2 - 2*h - 5*h - 14 - 35*h**2. Let f be w(-5). Let b(x) = 3*x**2 - 4*x - 4. What is f*o(i) - 21*b(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-4)*n)*(n\/(n*n*n*n**(-9)*n))\/n assuming n is positive.\nAnswer: n**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 2. Suppose -5*j + 30 = -6*m + 3*m, 0 = -4*j - m + 41. Calculate the remainder when j is divided by h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 608.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**5\/20 + 7*d**4\/12 - d**3\/2 - 6*d**2 - 3*d. Let x be o(6). Let j = x - 7. Which is smaller: -3\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a. Let d(f) = -5*f**2 + 3*f - 18. Let q(j) = -d(j) - 6*p(j). Let m be q(5). Let b(h) = -h**2 + 7*h - 2. What is b(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h, 16*t = 12*t - h + 443. Let f(n) = 99*n**3 - n**2. Let r be f(1). Let g = t - r. Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + m + 93 = -36, -315 = -5*z + m. Suppose -6*u = -2*u - 192. Suppose -z = -5*l + u. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.432 + -0.232. Which is the closest to -0.1? (a) q (b) 0.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j**(-10)*j)\/j)))\/j**(-3\/2))\/(j\/(j**(-2)*j))**30 assuming j is positive.\nAnswer: j**(-137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 257355 and 315.\nAnswer: 257355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 - 5)) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 + 71*b + 569*b - 143 to the form x*b + m and give x.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 648 - 570. Let w(r) = 28*r - 1. What is the remainder when a is divided by w(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:09 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2 - 1) + 5. Suppose -9 = p*y - 1. Let h be -5*(y + (-3)\/(-3)). Solve 0 = -h*l + 5*j, j - 15 = -2*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1134018*u**2 + 421680*u + 39200.\nAnswer: 2*(753*u + 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -129. Suppose 0*d + 4*d = r. Suppose l = 3*l - d. What is the highest common divisor of 120 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 92403*g - 369614. Calculate k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.191324 from 14987.\nAnswer: 14986.808676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = -17*c - 0*c + 201 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.8323965.\nAnswer: 0.24971895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -17*d**2. Let v(m) be the second derivative of -m**3\/3 + 89*m. What is v(x(p))?\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:43 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/10)\/(6\/340) is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376791673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/1367?\nAnswer: 1\/1367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 31*v - 88. Let l be f(28). Let t be l + (2 - 0)*-2. Let s(g) = -3*g - 18. Calculate s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.6 + -28.4. Let b = -122 - v. What is the second smallest value in 2\/23, 0.07, 1, b?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)*h)**22*h**(2\/7)\/h**6)**(-5\/3) assuming h is positive.\nAnswer: h**(-940\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.128266429138 + -182.\nAnswer: -181.871733570862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4746 is divided by 429.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 7845 - 2847 = -38*r. Calculate the highest common factor of 216 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26490250.5 to the nearest 10000.\nAnswer: -26490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.076 + -0.024. What is the third smallest value in -0.19, y, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 649116 and 1560.\nAnswer: 6491160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -121011010102 (base 3) in base 6?\nAnswer: -10451532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -273, -262, -253, -252, -265, -298, -357, -448?\n\"Answer: -c**3 + 5*c**2 + 3*c - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -637 and -125314.\nAnswer: -125951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 161940896 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**3 + 4*q**2 - 6. Let m be (10 - (4 + 0)) + 1. Let c(k) = -9*k**3 - 5*k**2 + 7. What is m*j(b) + 6*c(b)?\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55346953*j**3 - 800963*j + 22?\nAnswer: 332081718*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12794412 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 - 2804*m**3 + 207996*m**2 + 891284*m - 1096480 = 0.\nAnswer: -5, 1, 89, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 3801.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24003160?\nAnswer: 2, 5, 503, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 24*l = 0. Suppose -7*c + 11*c - 19164 = l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*t + 948 = 0, -u + 0*u + 3*t - 316 = 0. Let m = u + 484. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -0.5, 5, 1117?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m + 37*m**2 + 2*m - 12*m**2 + 1 + 13*m**2. Is f(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9279578900 to the nearest 1000000.\nAnswer: -9280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 118*d + 805. What is w(-8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 4, i: 2, n: 1, j: 4, f: 6}. What is prob of sequence jj?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/18 - ((-8878)\/18 - -4).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -101, -204, -317, -446, -597, -776, -989, -1242?\n\"Answer: -u**3 + u**2 - 99*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 257*k**2 + 44 + 305*k**2.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82174, 328670, 739504, 1314682, 2054210, 2958094, 4026340, 5258954?\n\"Answer: o**3 + 82163*o**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (2 + -4 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v. Let n(d) = -62*d**2 + d + 30. Let p(z) = -z**2 - 5. Let q(b) = n(b) + 6*p(b). Give q(f(t)).\nAnswer: -1088*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/77 + (-15)\/(-7). Solve -l*n + p = 6*p + 29, p + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16552 = -591*m + 70030 + 10941 for m.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1877 bigger than -2075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.04 + -0.04. Let h = 1 - t. Which is the closest to -1? (a) h (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7491, -2 in decreasing order.\nAnswer: 7491, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 + 5 = 0. Suppose 0 = 4*a - 3*a - 3*q - 168, -v*q - 879 = -5*a. What is the highest common divisor of a and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-14))\/((-3)\/(-6)). Let s(z) = 5*z - 10. Let a be s(u). What is the derivative of 3 - 17*n - a*n + 43*n wrt n?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*(-8)\/(-253656)*6.\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -6.07. Let w = i - 6.4. Which is the biggest value? (a) 0 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2496*r = 2492*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/90)\/(12\/(-36))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 - 1336*n\/3 - 1340\/3.\nAnswer: 4*(n - 335)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367997.\nAnswer: 31, 76387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 120. Let g = -850 + 838. What is the lowest common multiple of 20 and o(g)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 14 - (24 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {c: 1, j: 6, p: 10}.\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*o, -3*f + 6*f = 0. Let i = 7 + -6. Is i greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b83 + 15e?\nAnswer: -a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.48886 to 2 decimal places.\nAnswer: 4.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.73114798.\nAnswer: -3.6557399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/9, 1, -3\/7, 2\/6303?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2*h + 31 + 21.\nAnswer: 2*h + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0.1, 5 in ascending order.\nAnswer: -39, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 2*c - 2*c)*(2*c - c**2 - 2*c) + 0*c**2 + 0*c**2 + c**3)*(c - 2 + 3*c + 1).\nAnswer: 16*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d5 + -23?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, 26\/5, -2\/3, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27025 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j - 70. Calculate the remainder when 33 is divided by ((-30)\/j)\/(2\/28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 50*u**2 + 7*u - 16. Let x be c(2). Suppose 59*k - 48*k - x = 0. What is the least common multiple of 24 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 162318372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63323850.\nAnswer: 2, 3, 5, 73, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.078317 nanometers?\nAnswer: 0.007078317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) + 16\/10. Suppose 0*r + 4*n - 4 = 2*r, n - 1 = 3*r. Suppose -3*h + 18 = -r*h. Calculate the greatest common factor of h and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -881 (base 9) to base 11.\nAnswer: -5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -7 (d) -70.6 (e) 0.48 (f) -0.3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Let p be -4*-1*16\/w. Suppose 4 = -3*x + p. Solve -x*q = -5*z + 15, 2*z - 31 + 8 = 5*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/((-55125)\/(-392)))\/(3\/(-54)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4820433 rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73909015.9 rounded to the nearest 100000?\nAnswer: 73900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20 - 1) + 4\/((-20)\/5). Let d = u - -3. What is the third derivative of 55*v**5 - d*v**4 - 15*v**5 + 21*v**4 - 2 + v**2 wrt v?\nAnswer: 2400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + 8. Suppose 4*t + 2520 = 32*t. Let n = t - i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 9*d - 54 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -6852, -24690, -59428, -116700, -202140, -321382?\nAnswer: -480060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((140\/6)\/14)\/(-1*(-5)\/6). Solve -9*a = -5*a - o*y + 12, 0 = -4*a + 4*y - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 1 + 11. Let y = f - -1. Let s = y - -5. Solve s = 4*v + 6 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*j + 15*j - 35*j - 441 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -22. Let h = -0.04372 - -54.04372. Let s = h + i. Which is the fourth smallest value? (a) 2\/3 (b) s (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -58. What is the closest to -2\/7 in -3, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiy when three letters picked without replacement from uvvuiykkkkrvvrvyvyrr?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 68, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s + 8*s - 15*s - 12*s. Let f(j) = -7*j**2. Determine b(f(z)).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 - 4*s**2 + 11*s - 12. Let i be v(-9). Solve 5*g - i*a - 23 = -a, -2*g = 5*a - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2686*k - 3. Let b(p) = -p. Determine r(b(t)).\nAnswer: 2686*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596302.\nAnswer: 2, 798151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(5 + 4\/(-1)). Suppose -3*b + b - 2 = 0. Put i, b, -4 in descending order.\nAnswer: b, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 145\/30 + 2\/12. Let p(r) = -r**3 - 4*r**2 + r + 1. Let o be p(-4). Let j = o + c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-255)\/(-267) + (-1)\/1. Let j = y - -206\/623. Factor 2\/7*q**2 + j - 4\/7*q.\nAnswer: 2*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + -5 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 200 = 4*s. What is the least common multiple of 50 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 962*k**3 + 22*k**2 - 7*k - 57. Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 392101872?\nAnswer: 1176305616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1758455 and -0.5.\nAnswer: 879227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1594 (base 14) in base 11?\nAnswer: -2994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2. Let c be (10 + -8)\/((-2)\/(-233)). Suppose 11*d - 8 = -4*k + 12*d, 4*k - 8 = -4*d. Let f(u) = 233 - c + k*u. Give g(f(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Which is smaller: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12890, 12892, 12896, 12902, 12910?\nAnswer: 12920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5, -3, 5, -271 in ascending order.\nAnswer: -271, -5, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c - 85*c + 3*l = 136, -2*c + 4*l = 158 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 9, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = 4*b + 32, f = 3*b + 36. Let c = -7 - b. Solve z = c + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55401053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4908 is divided by 4880.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.1 (c) -1\/90 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**2\/2 + 3*f + 73. What is d(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6962 = -25*u + 27*u, u + 5*s = 3463. Is u a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-653 - 4*(-5)\/10). What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 17833806.\nAnswer: 552847986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 264*q - 2124. Let l be c(8). What is the smallest value in 1\/5, -10\/7, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28266357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 7*n**2 - 1. Let s be b(-7). Let m be 754\/13 - (-1 - s). Let j = 9562 + -9505. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/90 + f**5\/6 - f**4 - 5*f**3\/3 + 6*f**2. Let n(j) be the first derivative of o(j). Determine u, given that n(u) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let c(d) = 4*d**2 - d + 1. Let k be c(3). Suppose 2*b - 3*m = 27, 0 = b - 4*m + 8 - k. List the prime factors of s(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/13 (b) 0 (c) 0.08 (d) -0.042 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -6 + -6 + 349 - 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00899 - -0.10899. Sort 540, z, -1.\nAnswer: -1, z, 540","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -253?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10220, 100 in increasing order.\nAnswer: -10220, -4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*10\/(-4) + -1. Let m(k) = k + 13. Let r be m(-10). Solve -r*o = o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -83, -350, -775, -1376, -2171, -3178?\nAnswer: -4415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) 3 (b) -1\/5 (c) -2 (d) 2\/5 (e) 321\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 191*o + 24. Let z = -887 - -893. Let n be h(z). Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 2\/3*r**4 + 0 - 6*r**2 - 1\/12*r**5 - 5\/24*r**6 - 2\/3*r**3 + 0*r. Factor c(k).\nAnswer: -(k + 1)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 r when four letters picked without replacement from {v: 2, g: 3, b: 3, w: 2, r: 10}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, 1 h, and 1 i when four letters picked without replacement from {n: 1, i: 1, h: 2, w: 1, t: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42513 and 16.\nAnswer: -680208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74324 = 4*c - 9072. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Let t = -4.4 + k. Let p = 1 - 5\/4. Which is the closest to p? (a) 1\/4 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1249, 2\/9, 1, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, 2\/9, -1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 14*f + 2. Let g be b(16). What is the remainder when 165 is divided by g\/(2 - (0 + 3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 0, 8, 16, 24, 32?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 420 divided by 35\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 62 = -16*x - 97 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22043607 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 31*k**2 - 40 + 129*k + 90*k - 173*k. What is the first derivative of p(i) wrt i?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 + 8*m**2 - 10*m + 15. Let j be k(-8). What is the common denominator of (4 + 2)\/(-2) + j\/(-220) and -35\/26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(-1\/3)*(g\/g**(2\/3))**(-41) assuming g is positive.\nAnswer: g**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 67\/6, 0 in descending order.\nAnswer: 67\/6, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 + 0*x**2 - 9*x**2 - 11 + 11*x**2 + 11.\nAnswer: -14*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2825?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 = -20*o - 39*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.47081 litres in millilitres?\nAnswer: 30470.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15\/43 (b) 4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1421 or 0?\nAnswer: 1\/1421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*s = 152*s - 400 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from ayoyppapoypsopap?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -16. Let j = -0.09 + 9.09. Let w = j - d. Which is the smallest value? (a) w (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = 71*t + 11*t. Suppose -4*j + 140 = -244. What is the smallest common multiple of j and t?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 + -119. What is the greatest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -753352*l**6 + 469146*l**2.\nAnswer: -90402240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 185*x**3 - 6*x**2 + 6*x - 5. Suppose 2*d + 5*h = -10, -2*d - 3*h - 6 = -4. Let m be o(d). Round m to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 793888.9l?\nAnswer: 793888900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*u - 1, -2*u + 7 = -4*g + 3. Let d be (-1)\/3*(-4 - g). List the prime factors of (-2 + 0)*d - -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/14)\/((-1)\/(-12)). Suppose -4*b = v + m, -3*b + 4*b - 1 = -3*v. Suppose v = -3*c + 104. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-7))**(4\/7) assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 101*n - 6. Let o be g(4). Is (o + 12)*2\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48858*x**3 + 48859*x**3 - 29055*x + 29055*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3\/5 - 9*l**2\/5 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 n when four letters picked without replacement from {n: 3, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 47*r = -60. Find the common denominator of -3 - (r\/(-30))\/((-12)\/(-805)) and -47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 - 7*q + 3. Let c be i(7). Let s be 76\/(-12) + 4\/c. Let x(v) = 4*v**2 + 6*v - 1. Is x(s) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/2 + 9*b**3 + 181*b - 372. Find the first derivative of y(v) wrt v.\nAnswer: -6*v**2 + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18876 or -1464?\nAnswer: 18876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 557 + -294. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71645?\nAnswer: 5, 7, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and (-3)\/(-4) + 7*33\/12.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**3 - 131*t**2 + 3*t + 3. Let v(c) = 3*c**3 - 130*c**2 + 2*c + 2. What is 2*a(i) - 3*v(i)?\nAnswer: i**3 + 128*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1172736 and 91620?\nAnswer: 5863680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*c**3 - 344*c**3 + 162*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**4 - 111*j**3 + 672*j**2 + 781*j - 3. Let x(g) = -4*g**4 + 112*g**3 - 672*g**2 - 780*g + 4. Let k(y) = -4*n(y) - 3*x(y). Factor k(a).\nAnswer: -4*a*(a - 14)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 23*u + 26. What is the remainder when 245 is divided by t(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192167 is divided by 238432.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/90 - d**5\/10 + 5*d**4\/3 + 26*d**3\/3 + d**2 + 2. Let n(v) be the first derivative of o(v). Find k such that n(k) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**8\/2016 + 9*h**5\/20 + 4*h**2. Let t(z) be the third derivative of j(z). Let g(a) = -a**2. Calculate g(t(k)).\nAnswer: -100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(17)*-3*-1 - sqrt(17) - (sqrt(153) + -3)))**2*4.\nAnswer: -40*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 935850 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10440 + -10431. Which is the nearest to -0.1? (a) z (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p + 4*p**2 + 4*p**2 - 4*p**2 + 5*p**2 - 4*p**2 + 78*p**3 wrt p?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 123\/(-11) - 16\/(-88). Let a(f) = -f - 8. Let t be a(m). Let g be (88\/(-66))\/((-2)\/t). Solve g*c = 4*d, -c = -d + c + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 5 - 2*n + 5*n in the form d + a*n and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-2)\/12). Factor 48*j - 32 + 19*j**2 + 5*j**3 - 3*j**y - 37*j**2.\nAnswer: 2*(j - 4)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6821.\nAnswer: 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814999 divided by -3431?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4871352426?\nAnswer: 2, 3, 3701, 219371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t*t*(t**(3\/4)*t)\/t)**(-3\/17) assuming t is positive.\nAnswer: t**(-117\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f - 8*f**2 - 49764 - 49*f + 7*f**2.\nAnswer: -f**2 - 81*f - 49764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f)*(-6224*f**2 + 2263*f**2 + 1855*f**2) + (-2*f - 5 + 5)*(-4*f**2 + 0*f**2 + 2*f**2).\nAnswer: -4208*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/5 and -57\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78184346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 10*b**2 - 11*b - 23. Let p be t(-9). Let v(m) = -m + 2. What is v(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20\/43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2266 + 752 + 759 - 22*r + 755 - 33*r.\nAnswer: -55*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - 118 + 3*d**2 - 2*d**2 + 124. Give q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(-12)*7\/((-28)\/(-96)) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(4\/6). Suppose -4*d = 14 - 2. Calculate the remainder when 30 - d\/(-3)*c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, o: 2, k: 1, l: 1, g: 3, c: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35549 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -5\/16351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4434\/11 + -345071\/858. What is the common denominator of 4615\/(-728) + (-4)\/14 and n?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2238*l + 4401*l - 2198*l + 728 + 182 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/(-3))\/(-7)*-6. Suppose -2*z = -0 - r. Solve -z*s + 16 = 2*u, -4*s - 4*u + 9 + 11 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 + 37*q**3 - 10 + 505*q**2 - 507*q**2 wrt q.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37243, 149094, 335505, 596470, 931983, 1342038, 1826629?\nAnswer: 2385750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r + 1140. Suppose -4*s + r = -239. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24569029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -439 + -4 + 5 + -3 + 2. Let g = y + 619. Let d = -100 + g. Calculate the greatest common divisor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = -2*h + 89. Suppose n = -0*n - 5, -5*z = -3*n - h. Let q = 4 + z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + m**2 + 12*m + 65. Let q be -12 - (-8)\/12*6. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*q**2*s + 147*g*q**2 - 2*g*q + 60*g*s + q**2*s - 10*q wrt q?\nAnswer: 4*g*s + 294*g + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.51196257 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 0.1.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -191, -255?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 5*z**2 + z**2)*(-1 + 0 + 2)*(-2*z**2 - 4 + 4).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1981021805 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 21. Calculate the lowest common multiple of 7 + 7\/((-49)\/(-35)) - -2 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5375 - -5390. What is the fifth smallest value in -2\/7, -5, 0, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6615 + 3.16. Let u = 0.5 + j. What is u rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) 2 (c) 4259 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*w + 97 = 0, -3*q - 4*w + 8 = -64. Let n = -30 + q. Let r be 2\/(((-95)\/(-114))\/(n\/(-12))). Sort r, 0.2, -0.1 in decreasing order.\nAnswer: r, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*d**3 + 625*d**2 - 625*d**2 + (d**2 - 3*d**2 + 0*d**2)*(3*d - d - 3*d) + 0 + 0 + d**3.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let x(n) = 20162*n - 3 + 3 + 0 - 20188*n. Calculate c(x(t)).\nAnswer: 26*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*r**3)*(-3*r - 2*r**2 + 3*r) - r**2 - 12*r**5 + r**2 + (3*r - 2*r - 7*r + (3 + 2 - 6)*(0*r + r - 3*r))*(-r**3 + r**3 + r**4).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = 2*v - 136. Suppose 0 = v*t - 1365 - 4963. What are the prime factors of t?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Let z be 1\/(-3) + (-69)\/(-253). Put 4, z, b in descending order.\nAnswer: b, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5595*h**2 - 12*h + 27. Does 15 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 66.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20712 and 2840.\nAnswer: 7352760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(88) + (sqrt(88) - sqrt(88)*1)*-2)\/(-6*sqrt(64)\/(sqrt(512)*4)).\nAnswer: 320*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2))**21\/((w\/w**12)\/w**(2\/5)) assuming w is positive.\nAnswer: w**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**3 + 2*m**2 - 3*m + 5. Let c be h(6). Let k = c - -26671\/16. Find the common denominator of k and -77\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/6 + 47*x**3\/6 + 42*x**2 + 2*x - 9. Calculate the smallest common multiple of 60 and a(25).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -13, -120, -333, -688, -1221, -1968, -2965?\nAnswer: -4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 7*n**2 - 5*n**2)*(n**2 - 4 + 6 - 1) to q*n + b*n**2 + y*n**3 + i + l*n**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:49 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 120 = 18. Suppose 0 = f*m - 19*m. Solve o - 3*u = 2*o + 7, m = 2*o - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -614, -582, -548, -512, -474, -434?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51087 is divided by 248.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4588 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91.9 from -2165.6453069.\nAnswer: -2073.7453069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:06 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1087270906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -135873333 at most as big as -135873333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 408612800 rounded to the nearest 100000?\nAnswer: 408600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34945*t**2 + 1818 - 34944*t**2 + 0*t**3 + t - 4*t + 2*t**3 + 69888*t**2 to o*t + v*t**3 + g*t**2 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**3 + 14*h**2 - 22*h - 4 = 0. What is h?\nAnswer: -2, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0253 + 46.1747. Let j = -46 + q. Which is the nearest to j? (a) -1\/3 (b) -1 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 15*o**2 - 2*o - 161. Let l be b(14). Find the third derivative of 2*h**6 - 17 - 40*h**2 - l*h**5 - 5*h - 14*h**2 + 3*h + 17 wrt h.\nAnswer: 240*h**3 - 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.980326 millennia?\nAnswer: 83763.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -306327?\nAnswer: -306320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 1619*y**4\/4 + 1883*y**3\/2 + 9*y + 334. What is the second derivative of g(j) wrt j?\nAnswer: 9714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2))**(3\/17)\/(y**2\/(y\/(y\/y**(-10)))))**(1\/58) assuming y is positive.\nAnswer: y**(-399\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 37300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - 411*c + 84. Let j be f(82). Suppose 0*r + 2*r - 8 = 0. Suppose r*z - j*z - 34 = 0. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -650. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**33\/(r*r\/(r\/r**1))**(-37) assuming r is positive.\nAnswer: r**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 0, -3, 165, -1, -2 in decreasing order.\nAnswer: 165, 0, -1, -2, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 - x**2 + 1. Let h be c(-1). Let o(m) = 2*m**3 + 2*m - 3. Let b(r) = 2*r**3 + 4*r**3 - 4 - 3*r**3 + 124*r - 121*r. What is h*o(k) - 4*b(k)?\nAnswer: -2*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12680, -12681, -12682, -12683, -12684, -12685?\n\"Answer: -x - 12679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16bc2 + a?\nAnswer: -16bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 37*h - 7398 = 0. Suppose -12*u + h = -1545. List the prime factors of u.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 1, g: 5, b: 3, q: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - z - 16 = -7*q, 0 = -2*q + 4*z + 22. Suppose -17 + 23 = q*k. Suppose 0 = k*n + 5 + 3. Is n bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84690476?\nAnswer: 2, 13, 139, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*w - h - 2, 3*w - 4*h = 11. Solve -3*m + 8 = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 3. Let p = 23 - 32. Let j(q) = -q**2 - 8*q + 12. Let w be j(p). Let o(v) = 2*v + 4. Let k(d) = w*i(d) - 2*o(d). What is k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 186 - 3907\/21. Let x = -77 + 76. Is x greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 2*z + 4. Let v be y(0). Which is the fourth smallest value? (a) -0.2 (b) 2\/11 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21405673 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58317, -116568, -174751, -232860, -290889?\nAnswer: -348832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-565)\/9 + (-114)\/513. Let h be 127098\/x + 4\/(-7). Round h to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 74\/6861 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -13*r + 650. Let j = -31 + r. Let c = j - 69. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200012221221 (base 3) to base 2\nAnswer: -1010111100011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80475042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581844820496 - 581844820496 - 65*l**3.\nAnswer: -65*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 0)*-6 - sqrt(637) - (sqrt(637) + 1)*2 - ((sqrt(637) - (-1 + sqrt(637) + sqrt(637) + -2 - sqrt(637))) + sqrt(637) + 2 + 1*sqrt(637)))**2.\nAnswer: 1078*sqrt(13) + 77126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*j + 45, 0 = -2*v - j - 0*j + 30. Let u = v + -11. Suppose d - 29 = -u*w + 2*d, 9 = 3*w - 5*d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 - 11*d**2 - 115*d + 226. Let m(g) = 6*g**3 - 6*g**2 - 57*g + 114. Let k(u) = 7*m(u) - 3*w(u). Determine t, given that k(t) = 0.\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*x**2 + 76*x**2 + 74*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/(-6))\/((-3)\/52).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12, -y + 5*m = 4*m - 11. Suppose -225 = -y*d + 195. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -64*(-4)\/40*30. Let w be 376\/r + (-1)\/3. Let i = w + 65\/24. Which is bigger: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k. Let o(b) = -4*b - 9. Let d(p) = p + 3. Let c(l) = 3*d(l) + o(l). What is c(y(w))?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t**(1\/9))\/(t**5*t\/t**(-2\/7)))\/(((t\/t**(-3\/4))\/((t**4\/t*t)\/t))\/(t*t**(-2\/3))**20) assuming t is positive.\nAnswer: t**(-1073\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1599036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4280 + 878 = -9*j. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352623.\nAnswer: 3, 117541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 49068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from rrarrrrnrgrqrnrrr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by -1\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2510 - 1264. What are the prime factors of g?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -297 - -177. Let p = 120.0000131 + i. Round p to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(6\/176). Suppose 2*d = 0, -4*q = d + 4*d + l. Let y = q + 7. Let n(w) = w**3 + 6*w**2 + 7*w + 4. Calculate n(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1915*n**4 + 17*n**3 + 22483*n**2 + 6 wrt n.\nAnswer: -45960*n + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + 87. Let a be (-9)\/6 - b\/(-6). What is the greatest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -2, -23, -64, -131?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*h = -21, 4*j + 11 = -5*h - 6. Let f(o) = -5*o**2 + 5*o**j + 2*o**2. Let i(g) = 16*g. Give i(f(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 + 15712 + -9. What is z rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -c, 112*c = 2*p + 115*c - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-9))\/4)\/(((-19728)\/23112)\/(-137))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5852 and 1610592?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11435 + 10789 = -463*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-8))\/((-3)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1894 - 65*q - 1894 + (0 + 3 - 1)*(2 - 2 + q))*(5*q**3 + 0*q**3 - 3*q**3) + 5*q**4 - q**4 - 2*q**4.\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 less than -270?\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12915 + 12987. What is the lowest common multiple of i and 711?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:10 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.19, 1, 5?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -21*h**2 + 7. Let s(b) = 11*b**2 - 4. Suppose 0 = 3*i - 12. Let z(w) = i*p(w) + 7*s(w). Let a(l) = -l. What is a(z(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65620.8l in millilitres?\nAnswer: 65620800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 26055 = 2*b - 26262 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2528 - 2533. Let a(w) = 17*w**2. Let k(q) = 33*q**2. Determine s*k(i) + 9*a(i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(160)*4 + (sqrt(160) - (sqrt(160) - (sqrt(160) + 1*-1*sqrt(160)))))\/(6*-1*sqrt(8)\/sqrt(4)*4).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4441 + 8?\nAnswer: 4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-162)\/(-21) - (-4)\/14. Find the third derivative of -h**5 - 5*h**2 + 18 - 6 - a*h**4 - 6*h + 5*h + h wrt h.\nAnswer: -60*h**2 - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061360*k**2 + 530876*k**2 + 530496*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 113, 19131, -1, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -3.9. Let l = 7 + -11. Sort l, 5, u.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*s - 61*s - 38*s + 2 + 55*s in the form a + y*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 5, -2 in descending order.\nAnswer: 6, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3981 + 3986. Suppose -31 + 3 = 4*b. Let h(z) = -6*z**3 + 3*z**2 + 7*z + 10. Let c(i) = -4*i**3 + 2*i**2 + 5*i + 7. Calculate b*c(r) + f*h(r).\nAnswer: -2*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) + 19\/4. Suppose -b + 9 = a*g - 0*g, -5*g = 5*b. Suppose -k = -g, 3*k = -3*q + 6*q. What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 97047.4 millennia?\nAnswer: 9704740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.96572 to one dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) -0.4 (b) 1 (c) -4\/7 (d) -0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74028 and 37572?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 3*v - 129, -2*v = -3*j + 130. Suppose c - j = -c. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/112 and 65\/26335918.\nAnswer: 210687344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 318106315 to the power of 1\/3, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -40. Suppose -9*s + 18 + 126 = h. Suppose 4*x = s, 24 = 3*g - 3*x - 60. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16277.6859 hours to weeks.\nAnswer: 96.8909875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (116*11\/(22\/28))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 1\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*x = 4 - 18, -m = -5*x + 5. Suppose 0 = -2*j - 1 + m. Suppose 3 = n, 3*d - 4*n + 11 = j*d. Solve h + d - 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2 - 6816*i + 18566930 = 0?\nAnswer: -5195, 1787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3*z**3 + 0*z - 53 + 0*z**2 + z**5 + 3\/4*z**4 + 1\/6*z**6. Solve t(h) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31270*p**3*u**2 - 412*p**3 - 18*u wrt u?\nAnswer: 62540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-20)\/(-40))*95\/722\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 452 + 94 = -18*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -71, -464, -5 in ascending order.\nAnswer: -464, -71, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 82 - 62. Suppose k + 5 = 4*i, t*k - 5*i = 4 - 8. Solve 2*o + o - k = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-54)*(-1 + 0). Which is bigger: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074 and 2471354?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/12 + 2*z**3\/3 - z**2\/2 + 5*z. Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213195 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33487146*b*g**2 + 9*b*g - 2*b - 2*g**2 + 68*g + 731 wrt g?\nAnswer: -66974292*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 7. Suppose 0 = -2*p + 2*c + 14, 3 + 4 = p + 5*c. Suppose -n = -4*w + 17, 3*w + 4*n = -n + p. Let k = -4 + w. Calculate z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*k - 699*k = -2*j, -7 = -2*k + j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353414, 353583, 353748, 353909?\nAnswer: 354066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + 2\/3. Let d(l) = 5*l**3 - 1. Let b(p) = -10*p**3 - p**2 + 3. Let s be 20\/(-5)*(-5)\/(-4). Let a(g) = s*d(g) - 2*b(g). Determine a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/6)*u*(u\/((u**11\/u)\/u))\/u*u assuming u is positive.\nAnswer: u**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, p: 4, o: 4, c: 2, m: 1, r: 4}. What is prob of picking 1 s, 1 o, 1 r, and 1 c?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -167 - (-24*(-6)\/24 - (4 - -1)). Which is greater: -500\/3 or l?\nAnswer: -500\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -8, 0 = -5*v - 2*q + 23 + 150. Suppose -c = -2*d + c + 34, 4*d + 3*c - v = 0. Calculate the remainder when -28*(-25)\/(-60)*-3 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -545.8 + 546.11537. Let k = c + 0.15448. Let i = 0.47 - k. Round i to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 0. Let n = u - -6.6. Suppose 3*m - 12 = -m. Put -3, m, n in ascending order.\nAnswer: -3, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + c - 1 = -13, -2*o = 10*c + 48 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-66))\/(132\/(-121)). Let f(b) be the first derivative of -1\/4*b**2 + 0*b**3 - 12 + t*b**4 - 1\/3*b. Let f(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(22\/8*-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46477748.9 + -5?\nAnswer: 46477743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and 137\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -2. Suppose 8*j - 5*j = 0. Suppose -2*u + 7 + 1 = j. Sort 2, q, u in descending order.\nAnswer: u, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t - 6. Let g(b) = -2*b + 2. Determine -14*g(i) - 5*k(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000095106461 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1929*b + 35732 + 176462 = -873*b - 37184 for b.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 121.9?\nAnswer: -142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t**2 - 3*t**4 - 26*t**3 - 9*t**3 - 2*t**2 - 2*t**2 - 7*t**3 + 42*t = 0 for t.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*t - 8, 4*t - 1 - 3 = -2*g. Suppose 0 = -f - 3, -5*r + 0*f = -g*f - 10271. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 21. Let b be 3 + (-4)\/4 + 5. Let r be ((-20)\/b)\/((-8)\/28). Let u be g(r). Solve -3*i + u = -5*v + 4*v, i = v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -1\/12*h**4 - 2\/3*h**3 + 0*h - h**2 + 0. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 + 90078*d**3 - 2250525*d**2 + 13500450*d = 0.\nAnswer: 0, 10, 15, 30001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -47*n**2 + 6*n - 10. Let t(j) = -19*j. What is t(z(h))?\nAnswer: 893*h**2 - 114*h + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from {t: 1, n: 2, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Let w be -2*(-14)\/(-15) - -2. What is the nearest to 1\/5 in w, 2, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a - 3 = -186*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3770229*b**3 + 49566*b**2 - 3*b + 10?\nAnswer: -22621374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -343\/16 - 49\/16. Let c = 692314204\/245955 - 14\/49191. Let p = -2825 + c. What is the common denominator of p and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -113, 2080, 8883, 22600, 45535, 79992, 128275, 192688?\n\"Answer: 384*r**3 + r**2 - 498*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*x - 178*x + 4200 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 4*y)*((3*y - 3 + 3)*(2 + 2*y - 2) + 42 - y**2 - 42 + 2*y**2 - 23*y**2 + 2*y**2).\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + r + 15, -2*d = 3*d + 3*r - 51. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577085 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2519 = 5*d - 7*t, 0 = -5*d + 5*t + 2525. What are the prime factors of d?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103695644881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 239824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -870480 by -3720.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4411 - 4409. Let f(i) = -i - 1. Let h(w) = -18*w**3 + 2*w + 1. Determine z*f(s) + h(s).\nAnswer: -18*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748788571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46\/10 - (18 - 13)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46053102 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 1884272.587 rounded to the nearest 1000?\nAnswer: 1884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/13 - 54*c**4\/13 + 964*c**3\/13 + 1068*c**2\/13 - 74*c - 78 = 0. Calculate c.\nAnswer: -39, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210040 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 60522?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -46 + 16. Let q(c) = c + 8. Let h(k) = -2*k - 15. Let t(n) = 4*h(n) + 7*q(n). Let g(y) = -2*y - 6. Calculate b*g(l) - 8*t(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.1727569 rounded to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 4*r**2 + 4. Let i be x(-4). Suppose i*v - 2*v = 272. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 23*j**2 + j - 24. Let d be i(23). Let m = 7 + d. Solve m*o - o + 4*h = 11, 1 = 2*o + 5*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/9 or -5?\nAnswer: -49\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -29. Find the third derivative of 8*g**3 - 9*g**2 + 14*g**2 - p*g**2 wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**3\/6 + 4*o**2 - 15*o. Let u be x(4). Suppose u*z + 198 = 15*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517414872 to the power of 1\/2, to the nearest integer?\nAnswer: 50174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -14. Suppose 4*y = 3*x - 99, -3*x + 0 = -d*y - 99. Let g = -27 + x. Solve 11*j - 8*j = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + d687?\nAnswer: d682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r = -142 + 46 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 976 and 133324162.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20063.\nAnswer: 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1562\/(-284)*5228\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 5548.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 - -136. Let x be -3 + 5 - (-156)\/(-77). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5*a - 2 + 57*a - 38*a - 12*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 2, a: 1}. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -601 + 856.3. What is u rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 z when three letters picked without replacement from nbnubbgbngbgbz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.16291 + 15.15. Round k to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21446, -21448, -21452, -21458, -21466, -21476, -21488?\nAnswer: -21502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83456573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppgpgpppppppgpgpp.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from {n: 17, e: 3}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 54*p + 597. What is s(42)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*v + 388, 4*u - 3*u = 3*v - 192. Let c = -4 - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13687094.59 - 5.\nAnswer: 13687089.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 22. Let b = 77 + u. Suppose 5*d + g = b, 5*g + 5 = 4*d - 13. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6221256355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*f - 3 + 1, -2*p + 8 = -2*f. Let l = 709 + -553. Let w = 151 - l. What is the biggest value in w, 0.1, f, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-16 + 11 - (19 + -12 - (2 + 91))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x - 6. Let i(w) = w**2 + 2*w - 8. Determine 3*i(f) - 4*z(f).\nAnswer: 3*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57253969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23918395 divided by -16085.\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1048853 rounded to 4 decimal places?\nAnswer: 0.1049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 5*c + 27, 6 = -2*c. Suppose 146 = 5*h + z*k, 96*h - 114 = 92*h - k. Solve 0*s + 2*s + 20 = 3*x, 4*x - 3*s - h = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13434\/8 + (-5)\/4. Let s = n - 748. Round s to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7)*a)\/(a**0\/a))**(-46)*(a\/(a**(-1\/2)\/a*a))**(-8\/7)\/(a**(-1\/8)\/((((((a*a*a\/a**(-3\/5))\/a)\/a*a)\/a*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(51243\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2242 and -0.3.\nAnswer: 2241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*j**2 - 1323*j + 225082 wrt j?\nAnswer: -168*j - 1323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.7 - -6. Let a = -2.3 + r. Let o = -3 + 2.6. Sort o, a, 1\/4.\nAnswer: a, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-16)\/(-2))*21\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + 2*t + 3. Let n(h) = h**3 - 2*h**2 - 2*h + 1. Let b(y) = 2*n(y) - p(y). Let c(a) = 5*a + 1. Let q be c(1). What is the units digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 - 42*k**2 - 29*k**2 - 673*k - 675*k + 17*k**2 + 1349*k.\nAnswer: -66*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-10)\/((i\/(i\/(((i\/(i\/(i**2*i*i))*i)\/i*i)\/i)*i))\/i)**(-19)*(i*i**(2\/3))**(3\/23)\/(i**(-1)*i)**27 assuming i is positive.\nAnswer: i**(649\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 - 18*g**2 + 22*g + 5*g**2 + 8*g**2 - 5*g**3 to x*g**2 + j*g**3 + q*g + h and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 3*j = 26*w + 25, 3*w = -5*j + 16 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -8*v. Let q be 20 - v*3\/12. Suppose -5*u = y - 15, -2*y = -0*y + 5*u - q. Solve -3*x - 2*x - 40 = -y*c, -3*c - x = -4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*p - 3*f, 0 = 3*p - 5*f + 3*f - 9. Suppose 0*o - 335 = -4*o + 5*x, p*x - 65 = -o. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2. Let o(z) = 2*z. What is k(o(c))?\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, -6 in decreasing order.\nAnswer: 10, 6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 - -330. Sort j, -5, -19, 0 in descending order.\nAnswer: j, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.48828kg in nanograms?\nAnswer: 5488280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 107 - 124)*(-5 - 1 + 21*x + 10*x - 7*x + 3*x).\nAnswer: 1107*x - 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 7 = 5*k, -2*c + 4*k + 375 = 373 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1 + -1)*1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/36*-1*(-32)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 187, 5, 3, -1, -197, 1 in ascending order.\nAnswer: -197, -5, -1, 1, 3, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 168 - 52 = 0. What is the lowest common multiple of 10 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4892804 and 16\/3553.\nAnswer: 53820844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-4)\/(16\/20). Let d be (5 + 1)*(-4)\/a. Let y(j) = 37*j**2 + 4*j + 1. Let c(m) = -31*m**2 - 4*m - 1. Let f(s) = 6*c(s) + 5*y(s). Give f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 13*b - 137 + 2*b + 4*b - 264.\nAnswer: b - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(15\/(-18) - -1). Suppose 11 = -y*p + 41. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.9 and -16.3.\nAnswer: -552.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -120.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Suppose -10 - 10 = 5*l, -4*y - 2*l + 124 = 0. Let x = 6 + 1. Let t(m) = -y*m + x - 7 - m. What is w(t(q))?\nAnswer: -1156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-2\/3))**(-10\/7) assuming m is positive.\nAnswer: m**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -207 divided by -179\nAnswer: 207\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 12, -1\/9, 1.9, -3\/10 in decreasing order.\nAnswer: 12, 1.9, 0.5, -1\/9, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 73*l - 1. Suppose -4*b = 3*v + 1, -3*v - 5*b - 1 = v. Is m(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 1 = 0. Suppose 3*f + 6 = -4*x - 9, f + 2*x + 7 = 0. Does 19 divide 76\/2 - f - c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17813931*k**3 + 9543576*k.\nAnswer: -106883586*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15580540 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10*h - 15. Let s = 24 - 17. What is the remainder when s is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 31, 47, 83, 145, 239, 371?\n\"Answer: t**3 + t**2 - 8*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3290.\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 82 - 86)*(-34 + 8 - 21)*(-3 + 3 + 3*z**2)*(-2 + 1 + 0).\nAnswer: -25662*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -323 - -323.0584. Round j to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 10 = 0. Suppose 32 = o*w + 2. Let a be -2*(-2 - 0\/2). Solve 9 = 3*l, 0 = a*m - 2*m - 4*l + w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpz. What is prob of sequence qzp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1165, 0.5, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 4203675*l\/2 - 2101839.\nAnswer: 3*(l - 1401226)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 - 2. Which is the third smallest value? (a) -2\/5 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12608144 and 4550359.\nAnswer: 4550359.12608144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2.5 (c) -2\/7 (d) -2\/9 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 210168.\nAnswer: 210168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 - -4. Let q = 68\/3 - 23. What is the biggest value in q, 3\/7, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 5*j + 5, 0 = -n + 3*j - 1. Suppose 50 = c - n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 13. Let n(h) = 2*h + 27. Let u(a) = -5*l(a) - 2*n(a). Let v be u(-6). Suppose v = 4*f - 11. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39318 - -39320. What is the highest common divisor of 2662 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*q - 1934 + 570 + 987*q with respect to q.\nAnswer: 925","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/18*5 - (-2)\/(-9). Put -4, f, 15 in increasing order.\nAnswer: -4, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -31332897, -2 in ascending order.\nAnswer: -31332897, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -16.4. Let j = n + -2.6. Let y = j - -4. What is the second biggest value in -2, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -4 + (4 + sqrt(1539))**2 + sqrt(1539) + sqrt(1539) - -5*(0 + sqrt(1539))**2 - (-1 + 2*sqrt(1539) + -5 + -2)**2.\nAnswer: 387*sqrt(19) + 3026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8335, -14616, -20897, -27178, -33459, -39740?\n\"Answer: -6281*a - 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let d be (-1 + 0)*(4 - 3). Let j be 2 + -3 + 3 - d. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 476.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*l + 0*l = 10, 2*x = 3*l + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 10*n + 5. Suppose 2*s - n*u - 11 = -0, -2*s - 19 = u. What is the second biggest value in s, -4, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 + 40*w**2 + 44*w = 0. Calculate w.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 + 6*k + 22. Determine i(7).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 5. Suppose 6*u = 3*u + n + 10, -2*u - 2 = -5*n. What is the smallest common multiple of x and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = -4*l. Suppose -4 + 11 = t - 4*p, 4*t - 17 = 5*p. Let g(h) = h**3 - 3*h**2 + 1. Let s be g(t). Sort l, s, 0 in decreasing order.\nAnswer: s, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4369356\/13 bigger than -336105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252804 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (1 - 3) + 0. Is j greater than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 12 in descending order.\nAnswer: 12, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 - 991*r**2\/5 - 7871*r\/5 - 6881\/5 = 0.\nAnswer: -983, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and 6277010.\nAnswer: 389174620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.7843 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26761*o + 0 + 25917*o + 0 to p*o + x and give p.\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151.16 + 131. Let g = 20 + m. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-6) - 6\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*u**4 + u**3 - 174*u**4 - 223*u**4 + (2*u + u + 0*u)*(2*u**3 - 3*u**3 + 2*u**3) to r*u**4 + a*u + k + q*u**3 + h*u**2 and give r.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1700) - -4*sqrt(1700)*-2) + (sqrt(1700) + sqrt(1700) + 0 + sqrt(1700) + 5 - sqrt(1700)) + 1)**2.\nAnswer: -170144 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7452 + 7469. Suppose -3*d - 10 = -3*p + 11, 4*p - 5*d - 26 = 0. Solve c = 2*w - p, 2 = 5*c + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n + 50. List the prime factors of x(14).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-1760)\/100)\/(4\/(-10)) and 524?\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5848073743 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 708 - 456. Let l be ((-8)\/k)\/(6\/14). Let c = l - 26\/135. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.58356461 to 3 dps.\nAnswer: -2.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7704748 is divided by 35836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*r - 870, -p - 2*r = 3*r + 427. Let j = 2621\/6 + p. Let k = -4 + 7. What is the third smallest value in k, -0.3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*b = -35, -4*b = -6*z + 2*z - 8. Suppose 12 = z*u - 9. Let k(v) = v**3 - 6*v**2 - 8*v + 2. Give k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, s: 2, r: 7}. What is prob of sequence rs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 195*y - 1952. Let a be c(10). Sort a, -220\/7, 1\/5, 4.\nAnswer: -220\/7, a, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/3 - 88*z**3\/3 - 1559*z**2\/3 + 14548*z\/3 - 7380 = 0. What is z?\nAnswer: -54, -41, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10810 and 423.\nAnswer: 97290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77611 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174 - -252. Let k = m + -72. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**(3\/7)))\/x*x)\/x**(2\/9))\/(((x**(-1\/3)\/x)\/x)\/(((x**5*x)\/x)\/x*x))*(x*x\/(x\/((x*x**(-3)\/x)\/x))*x*x**(-2))\/(x*x**1)**33 assuming x is positive.\nAnswer: x**(-3926\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(21)\/(sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75)*-3 + sqrt(75)) - ((sqrt(1050) + sqrt(1050)*-1)\/sqrt(6) + 3).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116, -117, -116, -113, -108, -101?\n\"Answer: h**2 - 4*h - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48104 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1027976112*f**3 - 5461*f - 675 wrt f.\nAnswer: -6167856672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 5. Let d(i) = -15370*i + 15373*i + 6 - 1. Let t(n) = d(n) - 2*l(n). What is t(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 13. Let g be q(-9). Suppose -g*b = -13 + 3. Suppose b*i = -i + 78. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.55 to 0 dps.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2402.79064 and -9.\nAnswer: -2411.79064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 7, 2, -3, -5, 2\/7 in decreasing order.\nAnswer: 165, 7, 2, 2\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*w**2 - 33 + 117*w**2 + 31 + 103*w**2 + 307*w**2 in the form v*w**2 + s*w + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/9)\/7*(-396)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 423876788 and 88.\nAnswer: 423876876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-2) + 2)*4\/14. Let u = -1037.9 - -1038. Let s = 0.1 + -0.2. Which is the second smallest value? (a) s (b) u (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3179 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 16*a + 65 = -24*a. Sort a, 13, 28, -1 in decreasing order.\nAnswer: 28, 13, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -109. Suppose -i + 2*i = h. List the prime factors of 3\/9*-3 + i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + v - 1 = 6*v, 5*r + v + 17 = 0. Let u = r - 6. Let g = u + 15. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Let i(m) = -m**2 - 1. Let n(h) = -2*h**2 - h - 2. Let d(l) = -5*i(l) + 2*n(l). Let t be d(2). Put t, 2\/11, c in ascending order.\nAnswer: c, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229752420, -229752432, -229752460, -229752510, -229752588?\nAnswer: -229752700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 508, 305, 194, 193, 320, 593?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 - 3 - (0 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + -9 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = -38 + 128 - 36. Calculate the smallest common multiple of 2301 and q.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 + 7\/30*u**5 + 37*u**2 + 0*u**4 - 17\/120*u**6 + 0*u**3 + 0*u. Find the third derivative of b(h) wrt h.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 62244.\nAnswer: 62244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 543314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = 0, 2*p + 85394 = 5*b + 285519. What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36304, 36185, 35988, 35713, 35360, 34929, 34420?\n\"Answer: -39*x**2 - 2*x + 36345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 - 13634 + 7*d + 0*d**3 + 13678 - 2*d**3. What is the tens digit of v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 74065486 = 2*l + 95894510, 0 = 4*u + 3*l + 169959994. Round u to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3742898?\nAnswer: 2, 1871449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-21))\/n**7*n**(-7)\/n*n\/n**20)**(-15) assuming n is positive.\nAnswer: n**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooiooooooo. Give prob of sequence ooi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 156 - 126 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085190743 to the power of 1\/2, to the nearest integer?\nAnswer: 32942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -486\/2297? (a) -2\/35 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21060567 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283339 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = -3*w - 4, -16 = -2*r + 2*w. Let b(h) = -8*h**3 + 5*h**2 + 5*h. Let q(p) = 8*p**3 - 6*p**2 - 6*p. Determine r*q(x) + 6*b(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8317 and -34426.\nAnswer: -286321042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5. Let c = 124 - 135. Let j(o) = -o**2 - 9. What is c*w(q) + 6*j(q)?\nAnswer: 5*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -23 in descending order.\nAnswer: 5, 4, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3*i - 12. Let r be ((-27)\/12)\/(i\/8). Factor 6*l**2 - l**4 + 0*l**2 + 3*l**4 - r*l**3 - 2*l.\nAnswer: 2*l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u - 5*u**4 - 1 - 268*u**2 - 15*u**4 + 269*u**2 wrt u?\nAnswer: -240*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 24512787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11901 - 3443 = 14*u. Let d = 689 + u. Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/20 + 81\/540. What is the second smallest value in 2, -1\/3, -1\/7, z, -256?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 7*c**2 - 8*c + 2. Let j be (25\/(-5))\/((-65)\/104). Calculate h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8 - (13 - (4 + 3))) + (-69 - -2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/10*17520\/7884.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*q + 721. What is the smallest common multiple of q and (-146 + 134)\/(6\/(-2))*5?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)**13)**(9\/2) assuming o is positive.\nAnswer: o**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**2 - 2*g**2 - 2*g**2 + 1 - 1 + (-1 + 11 + 3 - 2*g)*(16*g + 7*g + 12*g).\nAnswer: -75*g**2 + 455*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41\/301 - 739\/1204. What is the nearest to s in -9, -12, -0.4, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:05 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 896, 734, 464, 86, -400, -994, -1696?\n\"Answer: -54*a**2 + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 7.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3578\/35 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.52 + -1.42. Let c = -2.9051 - x. Let u = -0.038 + c. What is u rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(-28*p**4 + 271*p - 271*p).\nAnswer: -84*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -1110, -3879, -9356, -18465, -32130, -51275?\nAnswer: -76824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s**3 + 13*s**3 - 10*s**3 - 2.\nAnswer: 35*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = z - 0*z + 27, -20 = k + 4*z. Let y be -1*(-23)\/6 + k\/(-48). Solve -3*b = -5*b - y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 10*h - 6. Let j be n(-9). Suppose -2*c = -3 - j. Suppose c*t - 330 = -3*o, -2*o - t - 3*t + 210 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 41.54 (b) -0.13 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1482, -1502, -1542, -1608, -1706?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 1. Let j = 24986 - 24981. Let v(m) = -2*m + 1. Calculate j*v(k) - 3*d(k).\nAnswer: 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 277 - 219. Calculate the remainder when 403 is divided by b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 69\/2 of a milligram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 + 24 = 0. Let b be y\/12 - (-4)\/(-12). What is the units digit of 14\/1*(b - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 30*g + 38. What is n(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 363*b - 2010. Let u be o(6). Calculate the highest common factor of 15 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 15*j - 3. Let c(i) = 3*i**2 + 13*i + 2. Suppose 4*h + 17*h = 63. Let x(s) = h*c(s) + 2*k(s). Let m(y) = y**2. What is m(x(z))?\nAnswer: 9*z**4 + 54*z**3 + 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4248*w + 4262*w. Which is the third biggest value? (a) w (b) -581 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 53. Let -45 + 19 + 26 + 4*p**o + 8*p = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 + -151. Let l be (16 - 52)*6\/8. Let u = l + 31. Solve u*b + 20 = -6*q + m*q, -4*b = 3*q + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0)*10\/(-80)*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 5*z, c = -4*z - 1 - 3. Suppose 2*w = w + c. Sort 4, -1, w, -4 in increasing order.\nAnswer: -4, -1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/(-12)*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539551877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -41. Suppose -t + c = -756, 0*t + r*t + c = 2256. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 303 = 4*q + o, -3*q + 3*o - 315 = 0. Let b = q - -173. Suppose -5*f + 2*x + b = 0, -3*f + 0*x = 3*x - 51. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 750*i - 1488*i + 744*i. Let w(d) = 7*d - 25. Let m(f) = -3*f + 12. Let u(s) = 9*m(s) + 4*w(s). Determine o(u(x)).\nAnswer: 6*x + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5\/3 + 2*j**4\/3 + 10*j**3\/3 - 4*j**2\/3 - 5*j\/3 + 2\/3 = 0 for j.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 6*t - 3. Suppose -3*g = -3 - 21. Suppose 3*n + 5*f = -g + 25, 17 = 5*n - 3*f. What are the prime factors of j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 46*c - 1. Let n(y) = -45*y + 1. Let m(s) = -4*n(s) - 3*u(s). Let l be m(-2). Let k = l + 120. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from hhhhhhhqhhhqhhhhhhh?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**4 - i**3 + i**2 + 2*i. Let n(r) = 234*r**4 + 6*r**3 - 6*r**2 - 12*r - 319. Let p(x) = n(x) + 6*v(x). Differentiate p(o) with respect to o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3, b + 4*s = 3*s - 1445. Let i = 3607 + b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 18*l + 103. What is the remainder when 2892 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14)**(-50) assuming r is positive.\nAnswer: r**(-700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uma when three letters picked without replacement from amtmzuuzmsz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-1)\/(4\/(48\/4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139151 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: Let r be (-135)\/90*140\/(-21). What is the highest common divisor of r and 1945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*u - 203*u + 72*u + 589590. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*c = 9, 4*c + 0 = -5*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - q + 3*q - q + (-q**2 - 3*q + 3*q)*(6*q + 0*q + 3*q + (-2*q + 4*q + 0*q)*(4 - 2 - 3)).\nAnswer: -6*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -2. Let c(t) = 2*t**h + t - 3*t**2 + 2 + 0 + 2. Let r be c(0). Solve -4*j + r*m - 16 = -2*j, -5*m = -15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18318, 18312, 18320, 18348, 18402, 18488?\nAnswer: 18612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -6\/5 (c) -1\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*((-2*t + 2*t + 2*t)*(-t + 0*t + 0*t) - 2*t**2 - 1 + 1).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(432))*-5 + sqrt(432))*-2*-2)**2.\nAnswer: 7680*sqrt(3) + 110992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + p. Calculate i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -26 - (-76 + -41 - -7)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 66, 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -26. Let u(k) = -k + 9. What is the smallest common multiple of u(q) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 346574 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let s(g) = -g**x - 2*g**2 + 7*g**2 + g**2 + 8*g + 4. Let y be (-119)\/(-68)*(20\/(-5) - -8). What is s(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -34*l**7\/105 - l**6\/60 + 79*l**3\/6 - 2*l**2 - 35*l. What is the derivative of h(w) wrt w?\nAnswer: -272*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.66 + -7. Let u = i + -0.66. Which is the closest to -0.1? (a) u (b) -2\/3 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/161 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2501 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24625025027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-39) - (-16)\/6. Suppose -3*n = -f*c - 6, -5*c - 1 - 7 = -4*n. Suppose c = j + 3*x - 0*x - 770, 0 = 4*x + 20. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*y + 2, 0 = 2*q + 3*y - 29 + 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(3) - (sqrt(3) - (-2 + sqrt(243)))) + -2 - (sqrt(432) + (-2*-3*sqrt(432))**2)).\nAnswer: -15561 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/((-104013)\/1170) + (-3586)\/(-2520) and 1 - 2\/((-440)\/(-258))?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3) + (3 - -4 - 4). Is o\/(-1*2) - 7770\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 33 - 7. Suppose -4*o = -26 + h. Find the third derivative of 4*t**6 + o*t**6 + 11*t**2 - 4*t**6 wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -2\/3, 2335639?\nAnswer: 2335639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (3 + -3)\/1. Suppose -2*u = -z*u - 8. Let d(s) = -3*s + 0*s + u*s. Let k(b) = 2*b**2. Give d(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17790*v**2 - 17770*v**2 + 53537*v**2 - 17665*v**2 + v - v**3.\nAnswer: -v**3 + 312*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by (6\/(-21) - 0) + (-3160)\/(-35)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlxxlddxtxxdlldll. Give prob of sequence xdx.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3\/4)*f))\/f**(2\/9) assuming f is positive.\nAnswer: f**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4391659 is divided by 4344?\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292574 is divided by 68?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**3 - 10*c**2 + 3. Let q(s) = 9*s**3 - 1. Calculate 2*q(k) + v(k).\nAnswer: 2*k**3 - 10*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 12 - 24982*m - 13 - 44620*m + 4)*(m + 2*m - 2*m) as p*m + b*m**2 + u and give b.\nAnswer: -69602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 45990?\nAnswer: 45995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 4*b - 8. Let m be c(-4). Suppose h - 3*i + 5*i + 10 = 0, m = -4*h - 4*i. Let j be 3\/(-24) - (-28)\/32. What is the nearest to h in j, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8350, 8740, 9130, 9520?\nAnswer: 9910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 438 - 11?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 22*s**2 - 34*s - 29. Suppose -2 = 3*w - 5*w. Let f be w*(-6)\/(-21) + (-1092)\/49. Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 10050.\nAnswer: 30150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(1*(2 + sqrt(605) + sqrt(605))**2 - (4 + (sqrt(605)*1)**2)).\nAnswer: 264*sqrt(5) + 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 272 = 3*h - 265, 2*x + 3 = -h + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 16*q**2 + 76*q - 56.\nAnswer: -4*(q - 2)*(q - 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2092840748 and -2092840749 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -83, -3, 99, 217, 345?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 18*q - 9. Let r(k) = -27*k + 14. Let o = -59 + 67. Let g(x) = o*l(x) + 5*r(x). Differentiate g(c) wrt c.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64973.\nAnswer: 43, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w = -w + 376. Let y(o) be the third derivative of w*o**2 + 0 - 3\/8*o**4 + 1\/60*o**5 - 3\/2*o**3 + 0*o. Calculate y(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)*a*(a\/((a**3\/a*a)\/a))\/a)\/((a**1\/a)\/a)**(-6))**15)**(-17) assuming a is positive.\nAnswer: a**(23715\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334817.\nAnswer: 7, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 7. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22\/3 + 2*h**2 - 50\/9*h + 2\/9*h**3 = 0. Calculate h.\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -406.01261 to 1 dp.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 72, 29\/3, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37368 to 3 dps.\nAnswer: 0.374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -33 + (-25 - (44 + -72))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12*m - 11. Let n(b) = -b - 1. What is -4*l(w) + 44*n(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4748 + -2491. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = g - 3 + 25, 5*d - 20 = 0. Which is the second biggest value? (a) 2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*o + 531, -w + 109 = 5*o - 86. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18578354, 18578355, 18578356, 18578357?\n\"Answer: o + 18578353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + r - 42, -3*s = -4*r - 39. Solve 3*q = 12 - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (192\/20)\/(32\/24 - 5551\/4170)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or -0.7?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 m when three letters picked without replacement from {h: 1, f: 2, j: 1, m: 3, a: 1, k: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3\/13 (b) 2\/45 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -30. What is the remainder when (2 + 19\/(-2))\/(42\/(-112)) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:15 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d**3 + 4*d + 50. Let n(q) = -18*q**3 + 7*q + 101. Calculate -4*n(c) + 7*z(c).\nAnswer: 2*c**3 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 44*v - 18*v - 26*v + 2*v**2. Let z(y) = -2*y - 51. What is g(z(m))?\nAnswer: 8*m**2 + 408*m + 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(31\/(-62)*8\/2)*516 is divided by 143.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1152154 (base 6) to base 16\nAnswer: -efe6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3759483?\nAnswer: 3, 7, 13, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:45 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a - 10 = 3*t, t - 6 = a. Suppose -4*w - 2 + 18 = 0. Suppose -2*p = -0 - w. What is the highest common divisor of t and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 - 8*d + 33. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2817, 2616, 2067, 996, -771, -3408, -7089, -11988?\nAnswer: -18279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/5)\/(-2*8\/(-80)). Is (-36)\/f + (-2399)\/(-3) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 2*s**3\/3 - 3*s**2 - s. Let m(h) = 2*h + h + 3*h - 1 - 5*h. Determine 6*m(d) - p(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - (-5 - 92309\/63). Suppose 76*d - y = 70*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(18\/2)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 - 1 - 4 + 2*w + w. Determine n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31 bigger than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-82 + 76)*(2 + 5\/(-2)). Solve 4*v + 5*t + 7 = 0, -a*t - 1 = 4*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 24*c**2 + 2*c - 255. Let u be x(11). Solve 0 = j - a + 1, 7*j + a + u = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91733561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3288)\/(-192) - (-1)\/(-8). Let z = v + -15. Suppose -4*l = -18 + z. Solve -l - 1 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/707 + 2185\/6969.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 29. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/67)*i)*i**(-6\/7)*i*(i**(1\/5)*i)\/i**(-2\/5))**(-26) assuming i is positive.\nAnswer: i**(-108082\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 - 205 = 7*q. Let u = 125 + q. Calculate the remainder when 115 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169655 - 1524563\/9. Let r = 46397\/180 - n. Calculate the common denominator of ((-36)\/(-336))\/((-9)\/318) and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -158, 35, 2 in decreasing order.\nAnswer: 35, 2, -3, -9, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 5, -59, 4 in increasing order.\nAnswer: -62, -59, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggovqsoqvvegoqqe. What is prob of sequence qoe?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(9\/(-108))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 10*y - 6*y)*(y - y + 2*y)*(0 + 0 + 3).\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 7. Let r(i) be the first derivative of -9\/2*i**2 - 2 + 57*i. Let p(t) = -33*g(t) - 4*r(t). What is the derivative of p(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 459.97? (a) -2.8 (b) -0.1 (c) 1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.854855 rounded to 2 dps?\nAnswer: -222.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017136864 to 6 dps.\nAnswer: 0.017137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175530225 and 1170?\nAnswer: 1053181350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 471076202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2*-6 - (2*sqrt(132) + sqrt(132))*-2)\/(-6*2*sqrt(192) + -2*sqrt(192)*2)*-1.\nAnswer: -3*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1164316 and -111\/314680.\nAnswer: 11643160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -7*v**2 + 0 + 0*v + 1\/15*v**5 + 1\/6*v**4 - 1\/6*v**3. Is t(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -4*o**5\/5 + 55*o**4\/2 + 56*o**3\/3 - 501. Factor t(l).\nAnswer: -2*l**2*(l - 28)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70855243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 159\/5. Let z = 21.96 + -2.96. Put z, 1\/7, 0.1, c in descending order.\nAnswer: z, c, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -672879 or -672987?\nAnswer: -672987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n**3 - n)*(-n + n - n**2 + (-3*n + n + n)*(2*n - 1 + 1) + 53 - 301*n**2 - 53).\nAnswer: -304*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 + 34?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21432*l**3*t**3 + l**3*t + l**3 - 44*l**2*t - 390*l**2 - 73*l*t + 141*t**3 wrt t?\nAnswer: -128592*l**3*t + 846*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*1*239\/717?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297391, 594799, 892211, 1189627, 1487047, 1784471?\nAnswer: 2081899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/27 and 43\/30978?\nAnswer: 92934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.12 (b) 5 (c) -5 (d) -2\/7 (e) -1 (f) 1999.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.41832nm to meters.\nAnswer: 0.00000000841832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*j + 3 = j, 0 = -4*x - 2*j + 18. Suppose -2*q - 1204 = -x*l, 0*q = -l + 3*q + 301. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18965, 19784, 21149, 23060, 25517?\n\"Answer: 273*i**2 + 18692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 20*p - 45. Let i be g(12). Suppose -19 = 14*v + i. Let r = -5 - -5. Sort 5, r, v, 2 in ascending order.\nAnswer: v, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**4 - 4*k**3 + k**2 + 9*k. Let t(x) = 4*x**4 - 2*x**3 + 4*x. Let m = -3 - 2. Let i(c) = m*t(c) + 2*v(c). Let i(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25263.95 - 25264. What is the fourth biggest value in 4\/5, r, -7, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 4.4.\nAnswer: -237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5675 - -5739. Calculate the lowest common multiple of 10 and h.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + c + 1. Let y be f(-1). Let p(t) = t + 0*t - 3*t**y - t**3 + 0*t + 2*t. Determine p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610314903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-5)\/v))\/(v**(-10)\/v))**(3\/4) assuming v is positive.\nAnswer: v**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-12)*(-3)\/(-9). Let f = 0.3 - 0.28. Let h = f - -0.38. Which is the second smallest value? (a) -3 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose 5*q + r = 28. Suppose 2*g - 5 - q = 0. Calculate the highest common factor of g and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmv when three letters picked without replacement from mpmmvimmm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463 (base 10) to base 12.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a litre in millilitres?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1176\/80)\/((-2*1\/(-10))\/(488\/(-4392)))?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/10)*m**(6\/5)*m)\/((m\/m**(-9)*m)\/((m\/((m\/(m*m*(m\/(m**(-19)\/m))\/m))\/m))\/m)) assuming m is positive.\nAnswer: m**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/21 - 94*z**2 + 76896*z\/7 - 2128680\/7.\nAnswer: -2*(z - 54)**2*(z + 1095)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 304591031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - 1 - -2 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-27))\/(1785\/1530)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/22 and -8\/7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {f: 13, k: 1, g: 1, i: 2}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from ccocccfccccccf?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, -2, -3689, 2 in ascending order.\nAnswer: -3689, -25, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.25279 decades in years?\nAnswer: 792.5279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 89 (b) -1 (c) -8 (d) 0 (e) 2\/5 (f) 0.0088\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15554?\nAnswer: 2, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420383 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3 + 4 + 2. What is the third derivative of 8*j - 4*j**2 - 8*j - 9*j**g wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -70.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u**2 + 4*u - 38*u**2 - 23 + 61*u**2 + 19. What is the remainder when s(2) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**4 - 710*d**3 + 22640*d**2 + 600390*d - 28914165 = 0.\nAnswer: -31, 47, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 23*l**2 - 4*l + 20. Let k be u(-45). Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10c6 - 596dd?\nAnswer: -5a7b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 0.1, -5, 0.31 in increasing order.\nAnswer: -16, -5, 0.1, 0.31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 70156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(-260) + (-32)\/104)\/(3 + (-441)\/144)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 27*f + 9*f. Let c be ((-92)\/12)\/(10\/(-18)*f). Is c less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 26. Suppose -l + v = -p, p - 21 - 6 = -2*l. Solve 5*q - l + 0 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let u(y) = y**2. Let c(b) = -b**2 + 1. Let o(d) = c(d) + 2*u(d). Let j(w) = -3*w**2 - 6. What is z*j(f) + 5*o(f)?\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1390086 and 56376.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.02, -0.5, -0.3 in decreasing order.\nAnswer: 0.3, -0.02, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12 + 22 + (-9334)\/78?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*p - p = 13304, p = 3*i + 19966. Let l = i + 11378. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10\/17)*w)\/w**9 assuming w is positive.\nAnswer: w**(-146\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4162.2 times -2.464\nAnswer: -10255.6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 4*u. Let b = 10 + -7. Let r be s(b). Let k be (5031\/63)\/13 + (-4 - -1). Are r and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4 - 4357*v**3 + 6342273*v**2 - 3105309879*v + 30423218490 = 0.\nAnswer: 10, 1449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u - 4*u + 7*u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 + 9*o + 9. Calculate f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 - 4 - 5 - k + 2. Suppose -4*c - 36 = -8*c. Suppose -3*r = 6*v - 4*v + c, 12 = 2*v - 4*r. Give i(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/1005 and 51\/5?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 14\/3 + 8\/3*i.\nAnswer: -2*(i + 1)*(3*i - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(441)\/(sqrt(9) - -2*sqrt(9)))\/(2*(sqrt(7)*2 - sqrt(7)) - sqrt(7)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/3 + 652496*q**3 + 478967951276*q**2\/3 - 319313925008*q + 478971866258\/3 = 0.\nAnswer: -489373, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2. Let l(s) = -4*s + 3. Let w(k) be the second derivative of 23*k**3\/6 - 17*k**2\/2 - 3*k. Let q(y) = -34*l(y) - 6*w(y). Calculate r(q(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3769 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -308, -439, -550, -635, -688, -703?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 18. Let t be (-19 + 29)*(2 - 12\/10). What is the least common multiple of v(t) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -131, -128, -125, -122, -119?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - (-6 + 6). Suppose 10 + v = 3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2352179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -195? (a) 2\/3 (b) -16 (c) 0.3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(3 - (12 - 10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.88 minus -35310498?\nAnswer: 35310522.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 7 - -10 - 6. Suppose -11*k + 10*k = 0. Suppose 3*d - 7*t - 18 = -2*t, 5*d + 5*t + 10 = k. Solve -c + 14 = o*u, -u - c + 3 = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*a + 5 = 1, -3*a + 12 = 0. Let l = w + 25. Solve 0*f + l = -3*f - 4*u, -3 = u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**3 - 2*f - 2. Let r(u) = -217*u**3 - 63*u - 63. Give 63*p(z) - 2*r(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*v + 9763 = -697*v - 12234 - 13829 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:37 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:16 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 24, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321882 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 2*h + h)*(-1 + 1 + 4*h**2)*(12 + 8*h - 12) to b*h**2 + l + z*h**3 + d*h + s*h**4 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-45) + 953\/30. Let i = 142\/5 - n. Do -3 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*c + 31*c - 39*c + 108*c.\nAnswer: 179*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*r**3 + 16*r**3 + 27*r**3 + 32*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7708 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(-10)\/(-15)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -6. Let q(h) = 45*h**3 - 2*h**2 + h + 8. Let a be q(n). Let u = a - -4881\/4. What is the common denominator of u and 101\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 less than 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15815, -63534, -143277, -255218, -399531?\nAnswer: -576390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*p - j - 699, -j = -3*p + 421. Calculate the least common multiple of p and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 3*y - 1611 = 6*z, -2014 = -5*z - 4*y. What is the greatest common divisor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a9cb (base 16) to base 3\nAnswer: 22212102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(275) + 2 + (sqrt(704) + (sqrt(704)*2 - sqrt(704)) + -4)**2.\nAnswer: -123*sqrt(11) + 2833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4791, -41 in increasing order.\nAnswer: -4791, -41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + (-7)\/(882\/56). What is the nearest to -0.1 in 36, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**5 + n**3 + 1. Let x(s) = 52*s**5 - 4*s**3 - 13*s**2 + s - 4. Let z(t) = -4*i(t) - x(t). Find the third derivative of z(p) wrt p.\nAnswer: -3360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-2)\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147199*x - 74484*x - 73686*x.\nAnswer: -971*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)\/(o\/(o\/o**4))*o\/o**5*o**(-1\/7)*(o*o*(o\/o**(-3\/5)*o)\/o*o\/(o*o**(-4))*o)\/((o\/(((o**(-3)\/o*o)\/o)\/o))\/o*o**(-2\/7)) assuming o is positive.\nAnswer: o**(-333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyyrhhyyhn. What is prob of sequence yr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + v**2 - 5*v + 1. Suppose 0 = -q + 3 + 1. Let j be a(q). Sort j, 2, 1.\nAnswer: 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409279 times 57\nAnswer: -23328903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 4. Let d be g(9). Suppose -15 = d*v - 100. Suppose 105 = 4*u + v. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -63*l**2 + 55*l - 5. Calculate b(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 7 (c) -6990\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113725103627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + -6*(sqrt(567) + (1*sqrt(567)*-5)**2)*-1 + 4)*-6.\nAnswer: -2551500 - 1620*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-10) - 0 - (-1250340)\/975 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4726860 divided by -472686\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (138\/15)\/((-4)\/(-5)). Let i = w + -12. Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.2. Let j = 0.3 - r. Let k be (-8)\/(-6)*(-3)\/14. Which is the third smallest value? (a) j (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 529633100 to the nearest 1000000.\nAnswer: 530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 4*m - 3*a - 24, -a = -5*m + 24. Suppose -m*l = -26*l + 1667400. Round l to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29188098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + -101?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 10*r)*(-r**3 + 4*r**3 - 5*r**3) + 0*r + r**4 + 0*r - r**4 - r**3 + r**3.\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c. Let a(j) = 2*j**2 + 3*j + 1. Let p(m) = 2*a(m) + 3*l(m). What is p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/3 - 2914*t**2\/3 + 37484*t\/3 + 28880 = 0.\nAnswer: -2, 15, 1444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. List the prime factors of 1*16 - (b - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.72295+-13\nAnswer: -13.72295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -21 + 36. Let z(f) = -97*f**2 - 5*f - 5. Let j(w) = 192*w**2 + 9*w + 9. Let m(y) = u*j(y) + 9*z(y). Let t(b) = -4*b. What is m(t(o))?\nAnswer: 1392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/10 - ((-596661)\/10 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-20)\/(0 + -5). Does 82 divide (-1 - (0 + q)) + 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 4 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*u - 728 = -5*u, 0 = -2*b - 5*u + 348. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60925927?\nAnswer: 101, 603227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/21*(-22 - -1). Suppose 0 = 2*a + 5*n + 47, 3*n + 2*n = -a - k. Let q = 14 - a. Calculate the remainder when 73 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 25*f. Let w(m) = 84*m**2 - 22. Let o(c) = 16*c**2 - 4. Let a(i) = 11*o(i) - 2*w(i). What is a(p(v))?\nAnswer: 5000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + ((0 + sqrt(300) + sqrt(300))**2 - sqrt(9)\/(-2*sqrt(3))) - (sqrt(432) + -4*(sqrt(432) - sqrt(432)*-1))**2*-2).\nAnswer: sqrt(3)\/2 + 43533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 2. Let k = -6 + q. Let g = 4 + k. Which is the closest to 4? (a) g (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 750828166 - 750828166.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6174 divided by -2.\nAnswer: -3087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 + 12 = -4*g, 0 = h + 4*g + 11. Solve -5*m = -5*n + 25, -2*n + 19 = -h*m - 0*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 40, 88, 62, -2 in descending order.\nAnswer: 88, 62, 40, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from qqvvquuvzvuiu.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chsshhhhhacchchchhoh. Give prob of picking 1 o and 1 a.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 2087*i**7\/7 - 2135*i**3\/3 - 1843. Find the third derivative of x(b) wrt b.\nAnswer: 250440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, 8.4, -1\/2, 2\/39, 2, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let u(g) be the first derivative of -2*g**3\/3 + 7. Calculate h(u(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20\/43, 0.14, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/10 - 421*g**2\/5 - 1677*g\/10 + 252.\nAnswer: -(g - 1)*(g + 3)*(g + 840)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344\/5 - 673\/10. Factor 0 - z*q + 1\/2*q**2.\nAnswer: q*(q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.9 + 10.1. Let m = -74.00078 + p. What is m rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 214*j**2. Let x(q) = 51*q + 22*q - 74*q. Determine k(x(c)).\nAnswer: 214*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35920 by -5.\nAnswer: 7184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 0, 0 = -2*s + 5*u + 62 - 1. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91857 in -31\/3, 1, -1\/5, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527, -545, -563, -581, -599?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.93, 392, 1\/11 in increasing order.\nAnswer: 1\/11, 5.93, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67689 + 5)*(5 + 42\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-835.\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111311 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268772927?\nAnswer: 349, 770123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 7*v**3 + 7*v**3 + 0*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10755832097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117451069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1 - 3787.0776?\nAnswer: -3800.1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-9) - (-160)\/(-48). What are the prime factors of (-526)\/(r - (-2 + 2))?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-28) + 3282\/(-84) + 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 309 + -305. Suppose -3081 = -r*s - 3*g, -2*s + 1064 + 476 = 2*g. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -55\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24712223*k**2*t**3 + 3*k**2 - 88576*k*t**2 + 9*t wrt t.\nAnswer: -148273338*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 14*d**2 - 17*d - 22. Suppose 149 = -8*x + 29. Let w be j(x). Solve -9 = -l - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(128\/2 - (8 + 6)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 - -214.2. Is 0 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 - 18*s**2 - s - 41. Calculate the remainder when j(-7) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 + j + 2. Let u be c(0). Let d be ((-1)\/(-2))\/(2\/12). Let f = d + u. Solve -4*y - 4*k - 2 = -14, f*k + 5 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 29340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113103 (base 4) in base 9?\nAnswer: -7587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/20 - l**5\/15 - l**2 + 7. Let r(w) be the second derivative of y(w). What is the third derivative of r(n) wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*r + 28 - 3, -2*r = 0. Let i = 0.1 + -0.6. Which is the biggest value? (a) i (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(-4)*871\/201*6\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35979199?\nAnswer: 23, 1564313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 18 - 21)*(27 - 20 - 18 + 2*i**2 + 3*i**2 - 3*i**2 + i**2 + (-3 + 0 + 4)*(-2*i**2 + 0 + 0) - 4*i**2 + i**2 + i**2).\nAnswer: 40*i**2 + 440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 11*d - 5*q - 29 = 0, 2*d + q - 113 = 0. Sort -4, d, -3, 4 in increasing order.\nAnswer: -4, -3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128207612 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3229839m?\nAnswer: 322983.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 1:11 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 11*s = 18. Let y(x) = 7*x**2 + x + 15. Let h(f) = 6*f**2 + 2*f + 14. Let d(a) = 6*h(a) - 5*y(a). Is 3 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooojjxxbboqjooxb. Give prob of picking 1 x and 1 b.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-182)\/5 - -10)\/((-2)\/10). Suppose x - 36 - s = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, x: 2, i: 7, o: 5}. Give prob of picking 1 i and 1 o.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22643, 90288, 202933, 360578?\n\"Answer: 22500*x**2 + 145*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 120. Suppose -o = 2*y - 500. What is the tens digit of 1\/(((-6)\/y)\/(63\/(-28)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19743 divided by -96?\nAnswer: -6581\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/(-140)*1*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88595688 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -37, -44, -53, -64?\n\"Answer: -d**2 - 2*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/50 and -79\/470.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 26*x - 79704. List the prime factors of x.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 14 + -40 - (9 - -4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 smaller than 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 2, -1\/5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/8, -57, 2\/73, 0.91?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -2022111211?\nAnswer: -2022110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*c + 16 + 64, 101 = 5*c - 3*h. What is the greatest common divisor of 76 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**2 - 13*s + 38. Is j(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7280 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1214, 2434, 3654, 4874, 6094?\n\"Answer: 1220*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 31. Let f be p(0). What is the remainder when 16 is divided by f + -23 + (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 21, 12, 1, -12?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94648 + 142146. What is the highest common divisor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 321200 and 963600?\nAnswer: 963600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.3, 1, -3 in decreasing order.\nAnswer: 30.3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.3116*-0.1.\nAnswer: -1.63116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/12*(-55)\/(21175\/(-66)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a. Suppose -18*f = -54 - 18. Let p(q) = -4*q. Give f*p(l) - 3*x(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 - 3*v - 7. Suppose 0 = -6*k + 42. Is f(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.74, -1\/3 in decreasing order.\nAnswer: -1\/3, -1.74, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = d + 2*d - 438, -3*k - d + 444 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41619 and 7080696.\nAnswer: 7039077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**5 + 410*o**4 + 10060*o**3 - 263370*o**2 - 5444055*o - 5171040 = 0?\nAnswer: -21, -19, -1, 27, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -840, -2833, -6132, -10737?\n\"Answer: -653*f**2 - 34*f - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*b = -b - 4, -3*r - 31 = -5*b. Let n = r + 7. What is d in 12*d**2 + 6 - n*d**3 + 3*d**3 - 24*d + 10 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(3 - 0 - -1). Suppose j*q = -17 - 55. Let g = q + 26. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + 2*t - 1. Let a be o(-2). Let f = a - -25. What is the greatest common divisor of f and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-3)\/(-9))\/((-9)\/(-27)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (3 - (1 - 1)). Let y be (-1580)\/h - 2\/9. What are the prime factors of (y\/12)\/(2\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072792 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 8. Give u(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4545*o + 7*p = 9089*o - 4543*o - 1, 3*o = p - 17 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/10 in 5, 0.06, -8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -2*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from {x: 6, b: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, 12, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 3*s - 15 = 0, -3*s = 3. Does 22 divide 13\/39 - 442\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (1*(sqrt(160) - 2*sqrt(160))\/sqrt(10))\/(4*(sqrt(648) - ((sqrt(648) - 2*sqrt(648)) + sqrt(648))))))**2.\nAnswer: 32*sqrt(2)\/9 + 20738\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*c = 12 - 0, -c = -5*h - 18. Sort -5, h, -30 in descending order.\nAnswer: h, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 3. Let i(y) = 14*y - 35. Let l(x) = -70*c(x) + 6*i(x). Let j(q) = 2*q**2. What is l(j(v))?\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:45 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 32. Let f = -121 - -170. What is the greatest common divisor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-18)*(-6)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36754\/63759 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 + c - 2. Suppose i - 2*z = 2*z + 26, 3*i + 2*z = 8. What is h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -46*w**3 + 11*w**2 + 93*w + 377. What is the remainder when u(-5) is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2 - 14\/(-7). What is the closest to n in 3, 0.5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/135756 and -121\/181008?\nAnswer: 543024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 + 0.4. Let b = 0.05 + -0.62. Let t = b + 0.07. Sort 0.3, m, t in decreasing order.\nAnswer: 0.3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 3*o + 3*o)*((4*o + 4*o + 13*o)*(-3*o**3 + 6*o**3 + 0*o**3) - 11*o**4 + 14*o - 14*o).\nAnswer: -208*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y. Let d be ((-9)\/2 - -5)\/(10\/(-764)). Let g = 38 + d. Which is the nearest to -3? (a) g (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.2765119\nAnswer: -0.11060476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8465750*v**4 + 1439503*v?\nAnswer: -101589000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 5872*g**3 - 23540*g**2 - 17664*g = 0. What is g?\nAnswer: -3, -1, 0, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2 - v + 1874. Suppose 7 = 5*p + 2. What is f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100122222122211 (base 3) to base 7.\nAnswer: 61443502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Suppose 3*t = 5*p + q*t - 1055, -3*p + t + 633 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1, 66937?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 958 * -8\nAnswer: -7664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -464026 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 751\/10. Is n < 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*1 + 3570\/120 + -19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x + 8. Let h be g(4). Let w = -356 - -355.7. Which is the third smallest value? (a) 0.4 (b) w (c) -1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/1620 - m**5\/540 - 4*m**3 - m. Let s(o) be the second derivative of w(o). Factor s(a).\nAnswer: -2*a*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2470.6 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85718748 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 53*t + 206*t - 20003 = 0. Solve -8*k + 19 - t = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20*2\/(-4))\/(-2). Let t = f + 4. Sort t, -3, 3 in descending order.\nAnswer: 3, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86, 167, 248, 329, 410, 491?\n\"Answer: 81*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010270356989 rounded to seven dps?\nAnswer: -0.0102704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l - 42. What is the remainder when f(-19) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16217 is divided by 5339?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*p - 477*p + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 = -4*k, -6*p + 5*p - 1 = 2*k. Let i be (-1)\/p + 60\/10. Put i, -2, 2 in descending order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-37)\/(4810\/546)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*k - 22, -5*t = 2*k - 11 - 13. Solve 3*a + 6 = 3*x, 0 - 10 = 2*a + t*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -924.8 + 926.8. What is the smallest value in q, 0.2, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -568516*f**3 - 1146080*f**2 - 18132*f - 72 = 0. Calculate f.\nAnswer: -2, -3\/377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025677455 to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/472 and -23\/64.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62801 - 63249.422. Let n = p + 472. Let z = -23.9 + n. What is z rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f = 13. Calculate the remainder when 36 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6*1)\/(12\/8). Is -4 - p - (-542 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 9*t - 4. Suppose -30*f - 392 = 26*f. Determine a(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {d: 1, z: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3985520 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 8) to base 3\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**5 - 10*r**3 - 8*r**2 + 3*r. Let m(b) = -683 - b + b**2 - b**4 + b**3 + 683. Let i(j) = 4*m(j) + s(j). Factor i(d).\nAnswer: -d*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 4*l - 6, -l = 3. Let a be 308*(2 + i\/(-12))*3. What is the greatest common factor of 28 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4, -4*v = 5*m - 51. Let b(i) be the second derivative of -i**4\/12 + 4*i**3\/3 + i**2\/2 + 28*i. What is the least common multiple of b(m) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -215*j**2 + 0*j + 786 + 60*j**2 - 786 - j. Let y(f) = -7*f**2. Give x(y(u)).\nAnswer: -7595*u**4 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14758 + -1?\nAnswer: -14760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:48 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by -182?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10372, -2\/17, -16718?\nAnswer: 10372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-30)*-16)\/(3*(-9)\/(-135)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153468 and 2205?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2658 (base 11) in base 6?\nAnswer: -23551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + 39*n + 24. Let w be p(7). Solve 3*o + w*u = 9, o + 4*u = 5*o + 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w + 5 - 7 - 4 - 6 - w**2. What are the prime factors of x(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-84)*-9 + -2*45\/280?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in -182, 2\/5, 5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 10*m**3\/3 + 20*m**2 - 21*m. Let t(g) = -7*g - 13. Let r(v) = 2*i(v) + 7*t(v). Find the first derivative of r(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4590*i + 437. Is o(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 32*f = -30. Calculate the remainder when 33 is divided by 6*(20\/f)\/(-5) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900)*2 + 2*(sqrt(1900) + 1) - (-1 + sqrt(1900) + sqrt(1900) + sqrt(1900))*4*2)**2*-3.\nAnswer: -2280300 + 12000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 t, and 1 k when four letters picked without replacement from tktlttltlktltktkkzlt.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2991755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrdrddddddrrdddd. What is prob of picking 2 d?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 2*g + 5*o + 21, -2*g + 4*o + 24 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -133, 5, -1 in descending order.\nAnswer: 5, 4, -1, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -29*r + 4704. Let f be d(162). Which is smaller: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/5 + 36786*q**4\/5 + 62215732*q**3\/5 + 36679059684*q**2\/5 + 7308468905418*q\/5 + 7271852024682\/5 = 0. Calculate q.\nAnswer: -16583, -603, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlupv. What is prob of sequence ud?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 25. Suppose 15*y - f*y = 36. Is 18 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.215 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = 13*v + 625 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 2*s. Suppose -4*g + 17 = 5*r, 0*g - 3*r = -2*g - 19. Is g - -22 - (0 + s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(14*j - 16134 + 3*j**2 + 16134) as y*j**2 + r + l*j and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12 and ((-4)\/(-20))\/((-17)\/(24395\/(-168)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(1\/3))\/s)\/s)**37\/(s*s*(s**(-1)\/s*s*s)\/s*s*s*s**5))**26 assuming s is positive.\nAnswer: s**(-4472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 - 4*q + 5. Let h be s(-4). Suppose -9 = -6*m + 3*m. What is the third derivative of 4*o**4 - o**4 - 3*o**2 - m*o**4 + 3*o**h wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2806 + 1919. Let h be (15273\/(-6))\/(3 - 0). Let t = h - u. Find the common denominator of t and -3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 32 = 5*v. Solve -d = z + d + v, 6 = -2*z - d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let n = 1 + m. What is the closest to -1\/4 in n, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6677*m + 1228571. Give k(-184).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31176 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274203, -3, -4, 2, 0 in decreasing order.\nAnswer: 274203, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*q - 99 - 37 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 8. Let l be n(7). Suppose 0 = -4*h - 0*h + 12. Calculate the highest common factor of l and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -170*a - 314. Determine y(-3).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -79*z. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 27*v**2 - 90*v - 5. Let i be z(7). Solve -3*w - 2*w - 8 = i*p, -5*p - 3*w - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30022 (base 4) to base 10.\nAnswer: -778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -77\/5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4437 + -4437.4. What is the closest to 4 in f, 2, 0.4, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285 or 4836\/17?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - (38\/(-6) - -3). Suppose -t + 18 = l + a*l, 0 = -t - 3*l + 15. Solve -t*v - 4 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:05 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:26 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3881325365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000135202 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9295 divided by 1859\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 29*n**2 - 2. Let g be q(-29). Let y(f) = -2*f**2 - 2*f. Let t be y(g). Put t, 0.5, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0*w**6 + 0*w**4 + 0 + 0*w**5 - 1\/6*w**3 + 3*w - 1\/6*w**7 + 0*w**2. What is the second derivative of f(o) wrt o?\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 + -16 + 1 - -6*2 and 641.\nAnswer: 7051","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25280)\/(-1896)*((-10)\/48)\/(-5)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7*((-2)\/(-3))\/((-34)\/(-51)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -4 + 58 + -5 - -5. Find the second derivative of t**5 - 64*t**4 + l*t + 64*t**4 + 5*t**5 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2*r**2 - 77*i**2*r - 2*i**2 + 129*r**2 wrt i?\nAnswer: -4*i*r**2 - 154*i*r - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*u**4 + 2\/13*u**3 + 0 - 2\/13*u**2 - 2\/13*u = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 153 = 15. Solve 3*c + c - u = b, 3*u = 3*c - 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(0 + 1 + 35*z - 19*z).\nAnswer: -64*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -4246857 and -4246856 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**2 + 15*h + 50 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7960 = -8*m + 4*m - 2*h, 2*h = -4. What is the remainder when m is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18*o - 3 + 0 + 0. Let u be (-736)\/552 + 22\/3. Does 23 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537 by -1597.\nAnswer: 537\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -19*y + 1126. Calculate a(62).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 985 - 980. Let k = -15 - -10. Sort k, 4, -1, j in descending order.\nAnswer: j, 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10 - 10 - 5*s**2 + 4*s**2. Let u(l) = 19*l - 10*l + 16*l. Calculate u(c(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 45*o**3 - 9*o**2 - 4*o + 71. Let z(c) = -23*c**3 + 5*c**2 + 3*c - 35. Calculate -3*p(v) - 5*z(v).\nAnswer: -20*v**3 + 2*v**2 - 3*v - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2 - s + 3. Let x be u(0). Suppose -2*k + 75 = x*k. Solve 2*r = -r - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483357 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15692, 21954, 38946, 72032, 126576?\n\"Answer: 894*s**3 + s**2 + s + 14796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 3*m - 294. Let d(z) = -3*z**2 - 24*z - 106. Let j be d(-7). Let r = j + m. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16 - 18 = 0. Let t(u) = -12*u**2 - 2*u + 2. Let y be t(l). What is the smallest common multiple of 18 and (-1)\/((-1 + 5)\/y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:10 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 3*c + 2*c + 3*c + 3*c - 4*c + (-1 - 2 + 2)*(-c + c + c) + 2*c - 4*c + 4*c + c - 3*c + c + 40*c - 87*c + 100*c to the form m + f*c and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/(781056\/(-27459)).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.12 + -3.11. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 1553 - 241. Calculate the remainder when 74 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -37. Let q = c + 18.7. Let l = 2.30111 + q. Round l to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-806)\/20 + ((-227)\/1362 - (-28)\/60).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3167 = s + s, -2*m + 4*s + 1254 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1624527 to 4 decimal places.\nAnswer: -1.1625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 6, 1, 19654 in descending order.\nAnswer: 19654, 6, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 12*m**2 - 4*m - 11 + m**3 - 5*m - 5. What is the remainder when 18 is divided by b(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9)\/(3\/18). Solve -5*q = -5*g, t*g = 7*g + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:06 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2216991 and 60597754?\nAnswer: 181793262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(12\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0*v)\/(v*v**0*v))\/(v\/v**(-10)*v**3\/v))**(-11) assuming v is positive.\nAnswer: v**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 15 = 0. Suppose 3*m + 1 = 4*z, -9*m + 4 = -4*z - 5*m. Solve z*t - w - 4*w - 8 = 0, -o = -5*t + 5*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 1, p: 3, a: 1, j: 6}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 r, and 1 q when four letters picked without replacement from arrrrqrqhfrnarr?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943594350?\nAnswer: 2, 3, 5, 17, 37, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.361563 litres to millilitres.\nAnswer: 8361.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(78) - ((sqrt(78) - ((sqrt(78) - 2*sqrt(78)) + sqrt(78))) + sqrt(78)))*2*3)\/((sqrt(1452) + -2*sqrt(1452))\/(-5*sqrt(18))).\nAnswer: -450*sqrt(13)\/11 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -10111122?\nAnswer: -10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 - 4*h - 5. Let z be k(6). Let d = z + -25. Is 6 a factor of d\/4*(-12)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112 times 4755?\nAnswer: -57592560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7441.84 rounded to the nearest 10?\nAnswer: -7440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223556933.\nAnswer: 3, 97, 4204663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12))\/(1\/12). Let r be -3*((2 - 0) + -1). Is 17 - (g - -3)*r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 398211\nAnswer: -4380321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 3889911.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268 or -104715\/391?\nAnswer: -104715\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3 + (-28)\/42 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3183 divide 3261802395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 12, v + 3*v - 3*v - 892 = -213*x + 595 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) -14 (c) -1\/14917 (d) -1 (e) -5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = d + 55459994, 6*d - 7*d + 13865006 = s. Round s to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 36685941?\nAnswer: -183429705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 356*s**2 - 7*s - 23. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 425, 502, 579, 656, 733?\n\"Answer: 77*f + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81114.\nAnswer: 2, 3, 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1. Let h be w(-2). Suppose 2*z - h = 17. What is the remainder when 15 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190 * -0.1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u = 65*u - 1764. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22135 + 140?\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*w - 6*w + 2, 5*w = -10. Let b = 13 - 12.5. Put -1, b, v in descending order.\nAnswer: v, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 744 - 731. Solve -u*q - 18 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 232.\nAnswer: 11\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77.097476 - 0.061524. What is f rounded to one decimal place?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166 + 2*t + 132 - 230 to the form w + h*t and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/(35\/(-28)). Factor -3*n**3 - n**2 + 5*n**4 - 4*n**2 + 2*n**5 - u*n**3 + 3*n**5.\nAnswer: 5*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 162*f**2 + 54*f + 1. Is z(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/26 + 88\/(-176))\/(1\/91)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100534, -100452, -100314, -100120?\n\"Answer: 28*s**2 - 2*s - 100560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + -23. Let t = c - -47.5. Let u = 0.33 + -0.03. Put -4, t, u in descending order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -10)*18\/150?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 281*t + 315. What is r(0)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1364 = 5*b - 7*b, -p + 5*b + 459 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.12, 2, -0.6, 16\/9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1364, 1, -12, 32, -27 in decreasing order.\nAnswer: 32, 5, 1, -12, -27, -1364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 5, 65, 28 in increasing order.\nAnswer: -111, 5, 28, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 47*c + 31 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 77000 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from ecnyeeccetyn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -44. What is the second derivative of 10*k + k - b*k - 42*k**5 wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/12 - 5*r**3\/3 + 3*r**2\/2 + 4*r. What are the prime factors of b(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16446 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17172 - 12753 = -15*a. Suppose 48*r + a = 55*r. What are the prime factors of r?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2776 - 7*z**2 + 4*z**2 - 2776. Let l(u) = -4*u. Let r(o) = o. Let d(i) = 2*l(i) + 6*r(i). Give q(d(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 2 - (-1 - (5 - (24 - 24))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 89. Let g(p) = 25*p - 361. Determine 2*g(r) + 9*k(r).\nAnswer: -4*r + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -738\/43?\nAnswer: -738\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15, v + 3*i - 29 = -2*i. Suppose 2*s - 4 = -v*a, -4 + 3 = -a. Solve 2*d + 1 + 5 = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**18\/(k\/((k\/(k\/k**6))\/k)*k*k**(-2)*k) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1472 and 256?\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 33. Let o be a(-10). Suppose -o*q - 104 = -720. Let g(z) = 6 - q*z + 38*z + z**3 - 5*z**2 + 45*z. Calculate g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8) - (-945)\/60. Suppose -14*o = -a*o + 37. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(3\/5)*y)**37*y*(y\/(y**(-2\/15)\/y*y))\/y*y*y**(-5) assuming y is positive.\nAnswer: y**(391\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyeo when four letters picked without replacement from {e: 7, o: 7, y: 4}?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 19. Determine x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.5. Let d = 25 - 20. What is the smallest value in o, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 153?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1481 in 6\/451, -2, -0.4, 0.5?\nAnswer: 6\/451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + h = -82*l, 0 = -4*l + 2*h + 2. Let r(q) = -63*q - 3. Calculate r(l).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 4*v + 6. Let p(h) = -6*h**2 - 4*h + 7. Calculate 5*i(q) - 4*p(q).\nAnswer: -q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 26*m**2 + 4*m + 49. Let k(i) = i**3 - 3*i**2 - 2*i + 26. Let q be k(0). List the prime factors of z(q).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 70\/30. Solve -i*j + 2*g - 6 = 3*g, 0 = j + g + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, 1 e, and 1 o when four letters picked without replacement from eokhe?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239346 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/105*3\/2. Let y = 0.015 + -0.015. Let g = y - -0.4. Which is the second biggest value? (a) g (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220021 + 2001?\nAnswer: -20211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**2 + 0*m**4 + 0*m**5 - 13\/3*m**6 - 27 + 0*m - 9*m**3. Find the third derivative of t(v) wrt v.\nAnswer: -1560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 972, 2439, 4528, 7233, 10548, 14467, 18984?\nAnswer: 24093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101031130 (base 4) in base 8?\nAnswer: 211534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/78 and 35\/10698948.\nAnswer: 10698948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = 6. Suppose 0*u = -2*i - 4*u + 6, -2*u - c = -3*i. Solve -i*p - 12 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*c = 839*c - 8880 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, 0.02, 13\/4 in descending order.\nAnswer: 13\/4, 3, 3\/2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30\/7, 51, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -13*i**7\/840 - 11*i**6\/720 + 17*i**5\/60 - 9*i**2. Let b(h) be the third derivative of x(h). Is b(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26216 (base 10) to base 8.\nAnswer: -63150","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, 1, -0.3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 99553\/163 and 611 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 68*o - 1. Let b(u) = -3*u**2 + 34*u. Calculate 5*b(v) + 2*s(v).\nAnswer: -v**2 + 34*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/90)\/(3\/3) + (-156)\/105?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*x + 124 = 0, -z + 2*z - 46 = 4*x. Let n = z - 36. Solve -3*p + 3 = -3*a - 12, p = n*a + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1426\/276)\/(-2*(-5)\/(-20))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*u = 1335 - 205 + 340 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0000894 - -1. What is v rounded to six decimal places?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4042 - 18424 = -18*w. Suppose w = 8*a - 241. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:09 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - a - 12 = 0, a - 4*a - 1 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1943730269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksoooksokk. What is prob of sequence so?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128704 and 52286?\nAnswer: 1673152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -56 + (-4 - -32) + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, 13 in ascending order.\nAnswer: -1, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 2*g - 6. Let k(q) = q**2 + 3*q + 34. Let c be k(0). Suppose -2*z = -4*o - 28, -36*o + c*o = 4*z - 16. Calculate f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171891066, -171891072, -171891078, -171891084?\nAnswer: -171891090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n + 172*n - 36*n)*(-3*n**2 - 1 + 1).\nAnswer: -453*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-897)\/253*11)*(3*-18)\/3\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 - 464)\/((-6)\/62).\nAnswer: 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 526 = 2*m + 523, m = -5*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*p - 2 - 4, 0 = 4*y - 5*p + 32. Let n = y - -5. Find the third derivative of -12*t**2 - 2*t + n*t - 6*t**2 + 16*t**6 wrt t.\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 411*z**2 - 411*z**2 + 84*z**3 - 1 + 1 - 2*z**3 + (-2*z + 0 + 0)*(-1 + 1 + 3*z**2) + z**3 + 4 - 4 - 2 + 2 + z**3.\nAnswer: 78*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5882175*g**2 + 44106666*g?\nAnswer: 11764350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/17))**(-50))**(5\/8))**(-1\/33) assuming y is positive.\nAnswer: y**(125\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159.1 and -337.6?\nAnswer: -53712.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 54, -66, -0.43 in decreasing order.\nAnswer: 54, 1, -0.43, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.83 + 2.03. Let z = 6 - 8. Which is the nearest to q? (a) 0 (b) -2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 8*r = 4*r - 507. Let u(b) = -6*b - 1. Let k(h) = -18*h - 4. Let j(i) = -3*k(i) + 10*u(i). What is the remainder when r is divided by j(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 1\/6*y**6 + 0*y**2 + 2\/5*y**5 + 80\/3*y**3 + 62 + 0*y**4 + 0*y. What is the third derivative of b(t) wrt t?\nAnswer: 60*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 3*j**2 - j**2)*(30*j - 79*j + 38*j) + (j - 3*j - 2 + 0*j)*(-5*j + j**2 + 5*j) as c*j + x*j**2 + v*j**3 + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 4*i**2 - 88*i + 463. Let u(d) = d**3 - 2*d**2 + 2*d + 4. What is the remainder when o(5) is divided by u(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y*y*(y\/y**(-2\/11))\/y*y)**(-39)\/((y\/y**(-1))**(-1\/2))**(-2\/39) assuming y is positive.\nAnswer: y**(-170374\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = -231*h + 279*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 418*r**3 + 7*r**2 + 7?\nAnswer: 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**3 + 44*y**3 + 3*y - 2*y - 2*y.\nAnswer: 14*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235480*f - 686*f**2 - 235480*f to n*f**2 + y + v*f and give n.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 7*l - 169. Let r(k) = l*k + 0 + 0 - 25*k + 23*k. Let p(i) be the second derivative of -i**4\/3 + i. What is p(r(x))?\nAnswer: -484*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7 - 300\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/63 - -52\/1449. Which is the closest to 0.1? (a) -2\/11 (b) 4 (c) 1\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.3 + -12. Let j = f + 0.8. Let x = -2.4 - -0.4. Which is the second biggest value? (a) j (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 + 23*g**5 + 14*g**4 + 44*g**2 + 36?\nAnswer: -240*g**3 + 1380*g**2 + 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 2*k - u, 0 = 3*k + k + 5*u + 135. Let y = 37 + k. Suppose 0 = 4*l - y*l + 3*h + 7, 4*h + 8 = -2*l. What is the nearest to -2 in -4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*i + 385*i - 129*i - 124*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2644 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 5*m**5\/4 - m**4\/4 + 19*m**3\/3 - 148*m**2. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80433747.\nAnswer: 3, 31, 288293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididdidiidldldild. Give prob of sequence dii.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17\/1 - (-9 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 10. Put -0.02, -0.5, u, 1\/7 in descending order.\nAnswer: 1\/7, -0.02, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83149, -83147, -83147, -83149?\n\"Answer: -h**2 + 5*h - 83153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 2*l + 3. Suppose 0 = -5*v - 2*n - 12, v - 15 = 3*n - 31. Let c(p) = -2*p**2 + 2*p - 2. Calculate v*c(x) - 3*i(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -804 + 814. Suppose 5*c - 15 = -5*d + 4*c, 0 = -3*d - 3*c + 9. Calculate the lowest common multiple of j and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115502694 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1056, -2110, -3156, -4194, -5224, -6246, -7260?\nAnswer: -8266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 48, 88, 138?\n\"Answer: 5*n**2 + 15*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 881, -2\/9, 0.4 in increasing order.\nAnswer: -2\/9, 0.4, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3)) + sqrt(9)\/sqrt(3)*-4 + -1 + -1 + -1.\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2314 divide 32278645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + s - 3. Let w(x) = -85801*x + 85801*x - 1 + x**2. Suppose 5*b - 2*b = 4*d + 13, 2*b = d + 7. Calculate b*w(u) - j(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226888023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 2, e: 3, y: 2}. Give prob of picking 1 n and 2 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 302448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/45 and -67\/825.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48594 + 278?\nAnswer: 48850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -15. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-18426)\/(-54) - 4\/18. Suppose -71 = -9*s + n. Suppose -45 = -46*b + s*b. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 236856180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 j when three letters picked without replacement from ozjolklzlqlzzq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in -9\/4394, 0.3, 0, -1\/4, -1\/9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000100100 (base 2) to base 12.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27)\/(8\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001222 + -2?\nAnswer: 10001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:57 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(6 + 65*q**2 + 0 - 3).\nAnswer: -130*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9927690 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*u*v**4 - 2*u*v**3 - u*v - 50*v**4 + v**3 + 284072*v**2 wrt v?\nAnswer: -2232*u*v - 12*u - 1200*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 51*m**5\/4 + 1179*m**4\/4 + 2229*m**3\/4 - 927*m**2\/4 - 570*m - 63 = 0?\nAnswer: -21, -2, -1, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1301*-0.3.\nAnswer: -390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 5*d**2 + 5. Let u(p) be the third derivative of p**6\/20 - 4*p**5\/15 + 5*p**3\/2 + 3148*p**2. Give -7*q(y) + 2*u(y).\nAnswer: -2*y**3 + 3*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) 1\/5 (c) -2\/11 (d) 1 (e) -0.1236 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6669 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-15)*93\/(-62) - (0 + 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179837918 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r**2 + 107*r - 107*r)*(-3*r + 3*r**2 + 3*r)*(-2*r + 0*r + 3*r) + 54*r + 12*r**5 - 54*r.\nAnswer: -87*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -132*b + 136*b + 44 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 128\/18 + -5 + 2\/(-18). Let j(q) = -6*q. Let h(y) = y. Calculate g*h(o) + j(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (-7 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 1011730962*w - 85299961622453787 = 0.\nAnswer: -168621827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v + v + 3*v)*(-2*v**2 + 0 + 0) + 2*v - 2*v - v**3)*(2*v**2 + 0*v**2 + 3*v**2).\nAnswer: -25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 957 and 522?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 6*s - 48. Find the first derivative of s*r**4 - 2*r**4 + 4 - 14*r**4 wrt r.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517569206 divided by 319?\nAnswer: -1622474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203 - 174) + -1 + -14 - 69?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278\/9 + -31. Which is the closest to 4\/9? (a) i (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**2\/2 - 14*o - 6. Let r(k) = -6*k + 1. What is r(c) + 3*z(c)?\nAnswer: -6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 4. Let o(y) = -7*y**2 + 5. Let r(s) = -4*o(s) - 5*z(s). Let m(a) = -17*a. Determine r(m(p)).\nAnswer: -578*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.646 + -3.606. Which is the nearest to u? (a) 0.4 (b) -9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 1197*w**2 + 399*w**2 + 401*w**2 + 397*w**2 - 29*w**3 to p*w**3 + l + r*w**2 + k*w and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-1\/10)*n)*n*n\/n**(9\/8) assuming n is positive.\nAnswer: n**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -39*s**2 - 23*s + 49. Let p(b) = b**3 - 2*b - 22. Let f be p(0). Is y(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(8)*-2 - sqrt(8))\/(sqrt(44)\/sqrt(176)).\nAnswer: -44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is the square root of 209811 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, a: 3}. Give prob of picking 3 q.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3\/7 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(1 + sqrt(1216)) - sqrt(1216)).\nAnswer: -24*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12049291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211100 (base 4) to base 5.\nAnswer: 1100033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9785*j + 9787*j = 8268. Calculate the lowest common multiple of 8 and j.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*t - 27 - 17 = -k - 118*t, -5*k - 15*t = -130 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 28 + 3*r**2 + 0*r**3 + 0*r - 47\/6*r**4 + 1\/120*r**6 + 49\/60*r**5. What is the second derivative of o(z) wrt z?\nAnswer: 6*z + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3522817 + 8928532?\nAnswer: 5405715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6*t + 4 = 0. Suppose -3*z + 4*h + 4 = -2*z, 5*z = -t*h + 42. Suppose -4*n + z = -3*n. Solve 3*p + 2 - n = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58216900*w**2 - 366240*w - 576.\nAnswer: -4*(3815*w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2 - 37. Let g(i) = 16*i. What is v(g(x))?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75648 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 - 3*v + 1. Let z(x) = -5*x - 5*x - 7 - 24*x**2 + 10. Let t(d) = 7*b(d) - 2*z(d). Find the second derivative of t(k) wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23 + -0.07. Let h = 0 - 3. Let j be ((-13)\/(-273))\/(1\/h). What is the third smallest value in 4, j, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 4) to base 13\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*o**3 - 4864*b**3*o**2 - 114*b**3*o + 2557*b**2 - 11*o**3 - 174*o wrt b?\nAnswer: 12*o**3 - 29184*o**2 - 684*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 5*i**2 - 6*i + 9. Determine t(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/192111972 and -43\/208121303?\nAnswer: 2497455636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4 + 246*j**3 - 2181*j**2 + 1458*j + 3888 = 0.\nAnswer: -1, 2, 9, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 5, a: 2, s: 1, j: 6}. Give prob of sequence jsg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 11205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 - 12*b + 32*b - 2*b**3 - 8*b**3 - 15*b**2 + 20 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + (sqrt(72)\/(sqrt(36)\/sqrt(9)) - sqrt(18)))\/(((sqrt(66) + sqrt(66)*2 + sqrt(66) - sqrt(66))*5)\/(sqrt(704)*2)).\nAnswer: -32*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, -1329464 in descending order.\nAnswer: 1, -0.4, -1329464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157896.9 - -33.739.\nAnswer: 157930.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5932848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 48 = 9*g - 19*g. Solve -21*b + g*b - 36 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 95 (b) -2 (c) -1\/5 (d) -1\/78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 + 3*z. Let s(g) = 5*g**2 + 2*g. Let m(w) = -3*o(w) + 5*s(w). Let y(t) = t**3 - t**2 - t. Calculate -m(q) - 3*y(q).\nAnswer: -3*q**3 + 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from rhrprcrpvcrrprvvv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2297*j + 14301 = 79865 + 50483 - 26464 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + z + 3*z + (z + 3*z - 3*z)*(2 + 1 - 4))*((-3 + 3 - z)*(1 - 2 + 3) + 0 + 0 - 5*z) + 28*z - z**2 + 0*z**2 - 11*z.\nAnswer: -64*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-10) - 61\/(-5). Suppose -160 = -2*h + 5*r, -r + 115 + 91 = 3*h. Suppose 5*l - 80 = h. Calculate the greatest common divisor of w and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -180, -188, -196, -204?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 7, b: 2, p: 2, k: 7}. What is prob of sequence prb?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2. Let v(n) = 3521333*n**2. Determine i(v(x)).\nAnswer: 37199358290667*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) -164 (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2320653 kilometers?\nAnswer: 232065300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96616 (base 16) to base 11.\nAnswer: 390862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-627)\/5 + 8\/((-80)\/6). Let d be 4\/26 + j\/78*-3. Suppose -5*m + 2*w = -6 - 7, d*m + 2*w + 3 = 0. Which is bigger: m or -1\/83?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 146\/(-44) + 4 - (-3)\/(-6). Let m = 79\/2 - 41. Put m, 1, w, -3 in increasing order.\nAnswer: -3, m, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9908238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17420 - -26292. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -794 (base 16) to base 12.\nAnswer: -1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -4)\/(7*(-3)\/(-49)). Solve -q = -3*t - 0*i + 5*i, 3*t - 2*i - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 143415?\nAnswer: 143412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5\/5 - 786*t**4\/5 - 35529*t**3\/5 - 214128*t**2\/5 - 179388*t\/5 = 0.\nAnswer: -33, -6, -1, 0, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 5. Suppose -19*j + 4*f = -24*j + 7, 4*f + 20 = 4*j. Let c(z) = -z + 1. Give j*c(p) - u(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720) + 2)**2.\nAnswer: 96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -17*k. Let r(p) = -504758*p. Calculate r(a(o)).\nAnswer: 8580886*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/215 - -8797\/1935. Calculate the common denominator of w and ((-168)\/90)\/(12\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1496.14 days to milliseconds.\nAnswer: 129266496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19141\/6 - 3171. What is the common denominator of b and 41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 6. Let d be f(5). Calculate the common denominator of 3 + d - (-150)\/8 and 73\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/14, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9238 - -9279. Suppose 156 = 4*u + 2*y, -4*u - 192 = -9*u - y. Suppose -u*v = -s*v. Solve v = -5*w + 18 + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440*f + 45532 + 67532 = 2710*f + 561*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20205 = -42*j + 19701 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210009 - 94046. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s + 0*s - 60 - 3*s + 60 + (49 - 55 + 45)*(4*s - 1 + 1).\nAnswer: 152*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2199 by 733.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m - 2*m)*(23 + 22 - 5*m - 52).\nAnswer: 15*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 36*c + 103. What is g(39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 315*s**2 + 15*s + 4. Let c be b(-1). Solve 0 = 47*v + c - 69 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 16*r - 12.\nAnswer: -4*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -2233, -3483, -4757, -6061, -7401?\nAnswer: -8783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -6*v - 325*x + 293*x, 3*x + 2 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 618390 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + 4. Let k be 12\/(-21)*(-2)\/(-12). What is the second biggest value in -0.4, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 8*u**2 + 3*u + 12. Let i(w) be the third derivative of w**6\/120 + w**5\/15 - 11*w**4\/24 - w**3\/3 - 7*w**2 - 3. Let k be i(-6). What is h(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 476 - 471. What is the second derivative of d*n**2 + 0*n**4 - 8*n**3 - 54*n + 4*n**4 + 8*n**3 - 7*n**4 wrt n?\nAnswer: -36*n**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o + 2*f - 10, -4*f = -2*o - 4. Differentiate o*k**2 + 4*k**2 + 7*k**2 - 11 - 9*k**2 with respect to k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (938*c - 769*c - 1546*c)*(c**2 + 4*c**2 - 3*c**2).\nAnswer: -2754*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41800939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 13) to base 5.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)*a**(-20)\/a)\/(a**(-7)\/(a\/(a**(1\/17)*a))) assuming a is positive.\nAnswer: a**(-529\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 142*d**2 + 245. Let q(k) = 15*k**2 + 27. Let r(v) = 2*h(v) - 19*q(v). What is r(8)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 - 29*w**5\/60 - 37*w**4\/24 - 125*w**3\/3 + 19*w**2 + 10*w. Determine q(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012887 to 6 decimal places.\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o**2 - 30*o - 1. Let u be d(5). Let i(k) = -38*k - 1. What is i(u)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4 - 5 - j + 0. Suppose 0 = 3*n - 5*n. Suppose n = 3*p - 0*y + y + 5, 0 = -p - 2*y. Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 4)*(-11*f - 13*f + 25*f) as v*f + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -5\/4, 6\/383?\nAnswer: 6\/383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.579863 to 2 decimal places.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 203.5176ml?\nAnswer: 0.2035176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 435341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from {c: 10, n: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2563082048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*v**3 - 1 + 180*v**3 - 848869*v + 848869*v + 4 - 2 - 1.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/12 - 2*r**3\/3 + r**2. Suppose 8*d = -33 - 7. Give j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/(-3213)*6\/(-8))\/(22\/(-18))*1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 17. Let m = 0 - -1. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11*1*124\/(-341). Let v = 9 - 3. Let t(u) = v - 3*u**2 - 5*u + 4*u**2 + 0*u**2. Give t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3809? (a) -11 (b) -9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*x - 3*x - 12, 3*p - 12 = 3*x. Suppose -4*g - 30 - 4 = -2*l, -4*g + 3*l - 39 = p. What is the third smallest value in -2\/5, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - (-5 + 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {l: 4, c: 7, f: 4, j: 1, i: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 - u**2 + u + 1. Let r(h) = -h + 3. Let g be r(4). What is the units digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*q**5\/5 - 7678*q**4 - 73086*q**3 + 82846*q**2 - 10252*q\/5 = 0. What is q?\nAnswer: -233, -11, 0, 2\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1123123203 (base 4) to base 10\nAnswer: -374499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2*j + 4\/3*j**3 + 3\/2*j**2 + 5\/4*j**4 - 88. Let y(t) = t + 5. Let h be y(-7). Give i(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703664965*m - 88*m**2 + 1703664965*m.\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 14425.\nAnswer: -14425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194226 and 1641?\nAnswer: 318724866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-311)\/4)\/(2\/(-103)). Let f = -4013 + y. What is the common denominator of f and 25\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let l be a(3). Suppose -4*r - 20 = -3*h, -l*h + 6*r = r - 28. Suppose 6*j = 3*j + 12. Solve 0 = q - j*q - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7851\/68 - 11640\/17. Let a = -565 - y. What is the common denominator of a and 67\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-3\/8)*w)\/w))**(-29)*((w*w*w**(6\/19)*w)\/w)\/w*(w*w**19)\/w assuming w is positive.\nAnswer: w**(4741\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244335 and 21840?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -499 and 0.1?\nAnswer: 499.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -h - 162 + 158, 3 = 3*n - 3*h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 8 + 11. Let g(m) = -2*m**3 + m**2 + 2*m + 1. Let o be g(c). Solve -3*r + o = -2*f, -f + 3 - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4707862, -9415762, -14123662, -18831562?\n\"Answer: -4707900*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 2*b - 68 = 0. Suppose -5*y - 32 = 3*u, 0*y + b*y = -u - 20. Let t(i) = -i**3 - 4*i**2 - 6*i - 5. Calculate t(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -7\/53 (b) 22.9 (c) 3 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 + 34*g - 140. Let h(j) = 2*j**2 + 16*j - 69. Let z(r) = 6*a(r) - 13*h(r). What is the tens digit of z(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 664\/9 - 74. Let k = 0.1 - -0.4. What is the second smallest value in 2\/11, k, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:16 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/376800 and -77\/48590?\nAnswer: 1830871200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2698 and 11644?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + -59?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + 3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197865.\nAnswer: 3, 5, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32424667.\nAnswer: 11, 31, 95087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 16*j**2 - 67*j + 55. What is b(20)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 2*a + 1. Let r be y(5). Let t = r - -143. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 94.44645 nanoseconds?\nAnswer: 0.000000000026235125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 - -240. Suppose v = -q + 69, l = 5*q - 3*q - 5*v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044797?\nAnswer: 13, 80369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7, -9204 in ascending order.\nAnswer: -9204, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*v - 2 = 3*u, 2*u = 4*v - 4. Let p = 1 + u. Which is smaller: -2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Suppose -2*d + 38 = 3*a, -23 = -4*a + 2*d + 23. Let u(p) = 357 + 12*p - a*p - 357 - 26*p**2. Calculate s(u(n)).\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9444.415l?\nAnswer: 9444415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g - 134. Let k be x(-19). Calculate the greatest common factor of 37 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21322000010 (base 4) to base 16.\nAnswer: 27a004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 0, -29*n - 31620 = -32*n - h. Find the third derivative of 101*c**4 + n*c**5 + 4 - 4 - 3*c**2 - 10538*c**5 + 11 wrt c.\nAnswer: 60*c**2 + 2424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 4\/515, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.0134551 to one decimal place.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1127 (c) 3\/125 (d) 2.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100244 (base 9) to base 16.\nAnswer: -e773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let v be (-1 + -2)\/(-17 + 18). Let a be g(v). Suppose 3*j = a*j - 72. What is the remainder when 89 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 14. Let i be o(-11). Let k = i - 2. Suppose k = s + 2. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*o + 2*c, -4*o + 23 - 46 - 9 = -4*c for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 5*l - 3*l - 6*l + 7.\nAnswer: -16*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 20. Let t(q) = -q**3 + q**2 + q - 1. Let s(x) = -8*x**3 + 5*x**2 + 5*x + 3. Let y(f) = u*s(f) + 5*t(f). What is the derivative of y(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s*w**3*z**2 - 9*s*z - 2*s + w**3*z - 53*w**3 + 4*w*z - 6*w wrt z.\nAnswer: -4*s*w**3*z - 9*s + w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31220297\/220 + -141911. Find the common denominator of a and 79\/1740.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let i(u) = 537*u + 21183. Calculate i(x(d)).\nAnswer: 537*d**2 + 21183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-2)\/(1 - -1)). Let b = 6 - f. Suppose 25 = -4*k + 85. Calculate the remainder when k is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 - ((-4)\/(-14) - 6908\/22022)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -36. Suppose 6*a = d*a + 9. Sort 2, -2, -4, a in ascending order.\nAnswer: -4, a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12513967 + 5332626. Let o = -17846514.999941 + f. Let j = -78 + o. Round j to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 5. Let m be q(0). Suppose -r + 0*r = -m. Calculate the remainder when 13 is divided by (-10)\/25 + 37\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 415.4616 milligrams?\nAnswer: 0.0004154616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(-3 + sqrt(27))**2 - (6*(sqrt(108) + 1*sqrt(108) - sqrt(108) - sqrt(108)))\/sqrt(4).\nAnswer: -144 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14040*d - 32. Let n(g) = -7022*g + 13. Give 5*n(k) + 2*v(k).\nAnswer: -7030*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5.2, -17, 4, 3, -5.\nAnswer: -17, -5, -0.2, 3, 4, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-45)*-5 + (-42)\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v - 7*v + v + (v - v + 2*v)*(-1 + 3 - 3) - v + 2*v - 4*v)*(-1 + 1 - 2)*(-v + 3*v - 4*v) + 3 - 3 - 2*v**2 to the form q*v + z + o*v**2 and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 154, 156, 158, 160, 162?\n\"Answer: 2*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*1*sqrt(1539)*6)**2 + -1.\nAnswer: 648*sqrt(19) + 498639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -1119.\nAnswer: -1119, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(6\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 300 = v. Let a = v - -41. What is the highest common factor of 442 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3696\/(-1008)*(0 + (-1 - 5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19598280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g + 47. Determine z(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 16*v + 19. Calculate u(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 142 = -r - 25, -3*r - 2*l = -377. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -751, -698, -609, -484, -323, -126?\n\"Answer: 18*b**2 - b - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -53. Calculate the greatest common factor of z and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 - 194. Let t(m) = 23*m + 32. Let o(w) = 1. Let r(d) = v*o(d) - t(d). What is the derivative of r(b) wrt b?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 4. Let u(k) = 9*k - 8. Let h(a) = -6*u(a) - 11*z(a). Let l(w) = 2 + 2 - 3 + 8 - 4 + w. Let n be 14\/4*(-4)\/(-2). What is n*h(v) - 6*l(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137a - 98?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 95*q + 9. Suppose 3*m = 7*h - 4*h, -5*h + 2*m = -9. List the prime factors of z(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49240 and 123100?\nAnswer: 246200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -1. Let j be (-2)\/9 - (-28)\/45. Which is the closest to j? (a) 2 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:48 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-91)*(-10)\/24*-8.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -110, -1, 28, 3, -269 in ascending order.\nAnswer: -269, -110, -8, -1, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 305832937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - -0.05594135.\nAnswer: -0.01405865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 4 (c) 1\/3 (d) -1\/3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133747?\nAnswer: 79, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/25*(-46)\/(-6). Let n = 2\/75 + y. Suppose -3*c + 4 = 1. Is n not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-7)\/3 + 2. Let k = -14 - 6. Let q be -8*(0 - 2\/k). Which is the closest to -2? (a) 0.4 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 9. Let m(q) = 19*q - 1. Let l be m(u). Suppose 0*x + x = l. What is the highest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 - 5*v**4\/12 + 2*v**3 - 12*v**2 + 25*v + 3. What are the prime factors of i(7)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6036 - -13764880545?\nAnswer: 13764874509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/6, 0.1, -7\/5, 1\/154, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1736264477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -11131122?\nAnswer: -11131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 1078*f**3 - 1079*f**3 + 281 - 22*f**2.\nAnswer: -f**3 - 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 963\/4. Let x be (-2)\/(-3) + (-2)\/3. Find the common denominator of j and -19 + x - (-2)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 108*f**2 + 11 - 29 - 79*f**2 in the form s*f**2 + x*f + n and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 1. Let u be k(1). Suppose 0 = -3*b - u*j + 110, 2*b - 5*j - 86 = -2*j. Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1152170 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - (0 + 0). What is the third biggest value in j, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280616351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**3 - 225559*w**2 + 2*w - 1449095 wrt w.\nAnswer: -78*w - 451118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 942*k**3 - 2*k**2 - 2138*k wrt k?\nAnswer: 5652*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17565 and -47.93.\nAnswer: -8.4189045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 0*d)*(248 - 82*d - 248)*(6 - 2 - 2)*(-3 + 3 - 1).\nAnswer: -164*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9154 is divided by 4568?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - (sqrt(110) + (sqrt(110) - 1*sqrt(110)))))*2 + sqrt(110) - (sqrt(110)*-2*-2 + sqrt(110)))\/((-1*sqrt(160) - sqrt(160))*2).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -731031 (base 8) to base 15.\nAnswer: -4bb6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:48 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 121. Let h = n + 55. What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 34 = 3*o, 0 = -2*o - 3*o + m + 46. What are the prime factors of (-2 - o)\/((-12)\/486)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129562921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00638271 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-63))\/((-1778)\/84 - -20).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21075463?\nAnswer: 21075463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.95 + 49. Let t = 0.05 - z. Suppose 1778 = 771*i + 4862. Put 0.5, i, t, -1 in descending order.\nAnswer: 0.5, -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155801?\nAnswer: 155801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**4\/4 - 15*b**2\/2 - 6. Find the second derivative of p(u) wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557828749 to the power of 1\/2, to the nearest integer?\nAnswer: 67512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 1\/3, -0.3, 130?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -27 + 6. Let a = -13 + t. Let z(c) = -c - c + 0*c + a + 3*c. What is z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/9)*c*c*c\/c**4)\/(c*c\/((c**1*c)\/c))**(-3) assuming c is positive.\nAnswer: c**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/9, -2\/7, 134, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)\/(n\/(n**(-4)\/n)*n))**21 assuming n is positive.\nAnswer: n**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2 + 4764483*u + 57173364 = 0.\nAnswer: -1588149, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -12244910\nAnswer: -122449.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 1080\/96)*-16. Which is greater: -670\/13 or k?\nAnswer: -670\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**5*p)*p*p)\/(p\/(p\/p**(-1)))*p**(-9)\/(p**(1\/8)*p)*((p**(-3\/5))**(2\/119))**38 assuming p is positive.\nAnswer: p**(-54779\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 1782*k**5\/5 + 2*k**3\/3 + 15*k**2\/2 - 1708. What is the third derivative of t(r) wrt r?\nAnswer: 42768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223221111 + 1?\nAnswer: -223221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83894 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2455499 grams?\nAnswer: 0.0000002455499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 15 = -21. Let u = -5 - -2. Let j be (21\/r)\/(u\/8). Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 20. What is p(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -772*j + 16. Let z be f(-1). Let m = z + -773. Suppose -5*l + 103 = 2*v, -4*v = l + 2*l - 171. Calculate the least common multiple of v and m.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8206 + 8205.8. What is the nearest to b in 2.5, -0.4, 5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*l + 19 = -0*l, -7 = -w - 2*l. Let f(g) = -8*g - 8. What is the least common multiple of f(w) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*s = 5*h + 10*s + 35, 15*s + 65 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 91*l + 68 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*p - 59*n**2 + n*p - n + 10*p + 191 wrt n.\nAnswer: -2*n*p - 118*n + p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1252644736 - -1?\nAnswer: 1252644737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8232425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*c - 4130 = 3140 + 1338 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 169?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740*h - 120 = 710*h. Solve -h*p = 2*r + 4, -161*r + 165*r = -5*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058*r - 3532*r + 1459*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4561454 and 120983?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -278517 divided by 3\nAnswer: -92839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/(y*y**(10\/7)*y)*y\/(y\/y**(-1\/4))*y**19 assuming y is positive.\nAnswer: y**(317\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 458.\nAnswer: -5\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 + 2972*x**2 - 44632*x + 28367. Calculate j(579).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 38 - 114. Suppose 6*f - o = 413. What are the prime factors of 54\/f - 1930\/(-8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599110 a multiple of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 78*g**2 + 9*g + 8. Is 10 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b22a09 (base 12) to base 10\nAnswer: -8755497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-1)*(-840)\/2800.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 6\/3 + -2. Let l(n) = -n**2 - n + 3. Let y be l(k). Suppose 0 = j + q - 86, j = -y*q - 0*q + 90. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose t + t = o. Let g = t + 1. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557313 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0*w**7 + 0 + 0*w**2 - 5\/4*w**4 - 20*w + 0*w**6 + 0*w**5 - 11\/28*w**8 + 0*w**3. Find the third derivative of o(v) wrt v.\nAnswer: -2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30311130203 (base 4) to base 12\nAnswer: -116316b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21306)\/(-71020) - (-974)\/20\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 5 = -11*l. What is the remainder when 19 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from kzkrkzrk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 16 + 269*o - 19 - 19.\nAnswer: 269*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 27*n**2 - 168*n + 440. Determine z(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.001 (b) -1\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288145 or 288144?\nAnswer: 288144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 38330*k + 191649\/5.\nAnswer: (k + 1)*(k + 191649)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -4.7. Let r = i - 7.2. What is the smallest value in 5, r, 1\/4, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 3)*(4 - 98*l + 4 - 8).\nAnswer: -784*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11519739 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20223 (base 13) to base 14.\nAnswer: 16d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 5 = -5*j, -3*j - 5*s + 3 = 0. Suppose -2*a - 5 = -j. Is 0 + 255 + (a - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27992.\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -186286?\nAnswer: 186283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46109800 times 3?\nAnswer: -138329400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3 - 90*o**2 + 165*o - 80 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n\/(((n\/(n*n**(-2\/11)))\/n)\/n)*n)\/(n**(1\/8))**(-2\/11) assuming n is positive.\nAnswer: n**(1095\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.03 + -0.03. Let k = -9.75 - -1.76. Let r = f + k. What is r rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 454681.2ng?\nAnswer: 0.0000004546812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*d + 2910 - 8769 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 2\/33969?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 + 54 = 0. Let r(z) = -45*z - 227. Let f be r(-5). Let g be ((-15 - -3)\/3)\/f. Solve -3*x + g = i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0936, -4, -2\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 + 4799441*w**3 + 5*w + 717757272?\nAnswer: -4*w**3 + 14398323*w**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/12809 (b) 61 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 19 + -22 - -1 - (1 + 18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/7, -0.13, -86?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.380632 rounded to three decimal places?\nAnswer: 4.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -44. Let v = -11 - o. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526498?\nAnswer: 2, 7, 37607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 2*m**2 + 2*m + 3. What is l(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -19. Put 4\/5, -5, g in ascending order.\nAnswer: -5, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -10813624.\nAnswer: -4325449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2683.6282 + -0.3718. Let c = v - -2796.7. Round c to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917145.9 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 4) - (-2 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 37\/3) + (-1)\/(-3). Let u be (-66)\/110 + (-43)\/t. Solve u = 2*l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -0.0858029.\nAnswer: 0.3141971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:09 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3641 + -3607. Solve x*z + 11 = 147 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*-3*16\/(-18). Solve -v + j = 2, -10 = 5*v - k*v + 3*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.6, 0.06, -3 in descending order.\nAnswer: 0.6, 0.06, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -24, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 204766*u + 34223811 = 0. What is u?\nAnswer: -167, 204933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 126.7, 0.5, -971, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/38897 + -6085613\/48543456. Calculate the common denominator of g and 51\/286.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + 299\/65. Let m(j) = j**2 - 2*j - 12. List the prime factors of m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565971553?\nAnswer: 3, 139, 6153409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 0*m + 0*m)*(129 + 6 + 0 + (1 - 4 + 1)*(-2 - 4 + 4) + 5 + 0 - 4).\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*4\/15*-3. Factor 8*k**2 + 255*k - 3*k**a - 125*k.\nAnswer: 5*k*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1942326547251 + -2.\nAnswer: 1942326547249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 642\/48 + (-6)\/16. Suppose i + 4*n = a, -3*i - 3*n = -36 + 6. What is the highest common divisor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g + 38*g - 32*g - 6)*(2 + 0 + 4).\nAnswer: 84*g - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -1.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + r + 1. Let v be c(-2). Let k = -12\/7 + 22\/21. Let q = 2 - 1. What is the third biggest value in q, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.294442 and -209.\nAnswer: 61.538378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 3\/7 (c) -821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160882, -160154, -158938, -157234, -155042, -152362, -149194?\nAnswer: -145538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2923*a - 12 = -2926*a, -5*j - 4*a = -17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1428763600 to the nearest 1000000.\nAnswer: -1429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -3 (c) -24 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1973*a**3 - a + 2 + 480*a**2 - 1973*a**3 - a + a**4 to u*a**3 + i*a + t*a**4 + m + j*a**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u**2 + 6*u. Let c(a) be the first derivative of 2*a**3\/3 + 483. What is f(c(v))?\nAnswer: 100*v**4 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 14*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/48 + w**3\/24 - w - 3. Let i(b) be the first derivative of f(b). Factor i(u).\nAnswer: -u*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*(5 + -21)\/(-146368). Which is the closest to l? (a) 0 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153004 plus 4829216?\nAnswer: 4982220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 635 + -362. Let l = -176 + i. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 - 1875*n + 0*n**2 + 50 + 32768938*n**3 - 32768863*n**3 = 0. Calculate n.\nAnswer: -5, 2\/75, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 557.6831 kilograms?\nAnswer: 557683100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 v, and 1 w when four letters picked without replacement from {h: 3, w: 10, v: 3, i: 3, y: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v - 330. Let b be g(22). Which is smaller: -51\/41 or b?\nAnswer: -51\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 24 = 4*c. Solve 2*t - 17 = 5*a, -3*t = 2*t + c*a + 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -8\/9, 1\/12, -9 in increasing order.\nAnswer: -9, -8\/9, -2\/3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -15, -3, -5, 28 in ascending order.\nAnswer: -15, -5, -3, -1, 1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l + 2*y - 5200, 5*l - 4*y - 25930 = 0. Suppose c = -0*c + l. Round c to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = -25. Suppose 3*l + l = -j*g + 32, -4*l - 3*g + 30 = 0. Solve -2*t + c - l = 6, -15 = t - 2*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 980 - 930. Suppose 5*g + 5*k - x = 0, -99*g = -95*g - k - 35. Solve 0 = -n + 6 - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033299.\nAnswer: 3, 29, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.1, -2, 2.2 in increasing order.\nAnswer: -7, -2, 0.1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413807253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**2 - 1035*w**2 - 260*w**2.\nAnswer: -1385*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-12 - -14)*(21 + 0). Solve -49*t = -w*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89.88 and -3640.\nAnswer: -327163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**2 - 1 + (-n - n - n)*(-2*n + 0*n + 0*n) + (-2 + 2 - n)*(2*n - 2*n - 2*n) - 1 + n**2 + 1.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159955.\nAnswer: 5, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 3 - -3) + -1. Suppose 0 = 2*t + 2*t - 2*i - 8, -t - q*i = -2. Suppose -t*d = -5*d + 2*c + 40, 3*c - 59 = -4*d. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100.66 + -97.2. What is the second smallest value in -0.4, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 4*d + 3. Let n(o) = 18*o + 142. Let u be n(-8). Let i(g) = -g - 1. Calculate u*l(c) - 6*i(c).\nAnswer: -4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*m + 357, -2*g - 3*m + 561 = 3*g. Suppose 6*f - f + 4*t = -537, f + 3*t = -g. Let i = -66 - f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -874 + 1580. Let i = -653 + a. Sort i, 0, -4, -2.\nAnswer: -4, -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*q + 4*c, -c + 3 = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (488*u - 3 - 1724*u + 444*u)*(2*u + 2*u - u) to x*u + z*u**2 + f and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27977 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*i + 2*g, 3*i + 17 = -502*g + 507*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m**(-1\/2))\/(m**0*m))**(-36))**34)**(-13\/3) assuming m is positive.\nAnswer: m**2652","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 4. Let j be i(-2). Let p be 1\/(2\/4) - 7. Let x be 1\/(-5) - p\/25. Sort j, x, 3 in increasing order.\nAnswer: x, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70305 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: Let b = -36.1 + 36. Suppose -9 + 3 = 2*f. Let p be (9\/30)\/(4\/10). What is the closest to p in f, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -55?\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-9 + 8)) + (0 - -33). Calculate the highest common divisor of 363 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11972 - 59862\/5. Let z = 1 + -1.04. What is the second biggest value in z, 3, -2\/19, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Suppose -3*z + 2*z - 13 = -3*d, d + f*z - 15 = 0. Suppose -61*l - 65 = 38*l - 263. Sort l, -4, 4, d in ascending order.\nAnswer: -4, l, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1549, -2432, -5031, -10204, -18809, -31704, -49747?\nAnswer: -73796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 - 272*r**3 + 324 - 28*r**2 + 48*r**2.\nAnswer: -272*r**3 + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**3 - 2*k**2 + (-3*k - 2*k**2 + 3*k)*(k + 2 - 2))*(-7 + 3 - 6 + (1 + 3 - 5)*(6 - 2 - 2) - 4 + 2 + 4).\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 (base 16) in base 9?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4881 or 1?\nAnswer: 5\/4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530051.\nAnswer: 530051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:33 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1.2, -5 in decreasing order.\nAnswer: -1.2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -18. Let y = d - -3. Let x be ((-50)\/y)\/((-8)\/(-64)). What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -409 + 18*g**2 - 34*g**2 - 30*g**2 + 409. Let x(c) = -2*c - 9. Calculate x(o(w)).\nAnswer: 92*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**2 + r + 15 - 80\/3*r**3 - 102\/7*r**7 + 0*r**4 + 0*r**6 + 0*r**5. What is the third derivative of k(a) wrt a?\nAnswer: -12240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -49. Let c = h + 23. Suppose -y + c = -32. Calculate the remainder when y is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Suppose c*r - 6 = 3*u, 5*r + 5*u - 2 = 8. Let l be (3\/2 + -2)*0. Sort 5, r, l in increasing order.\nAnswer: l, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2723725.\nAnswer: -4\/2723725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25612, -51226, -76840, -102454, -128068, -153682?\n\"Answer: -25614*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3\/3 + 59*t**2\/3 - 41*t - 9 = 0 for t.\nAnswer: -1\/5, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 135 = -5*l, 0 = -l + r - 5*r + 36. Suppose 0 = l*f - 22*f - 2. Suppose 4*h - 4*u - 32 = 0, 2*h - 4*u + 3*u = 11. Put 5, h, f in descending order.\nAnswer: 5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*g**2\/3 - 94691804*g\/3 + 17216692\/3.\nAnswer: -(g + 8608346)*(11*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -224*n**2 - 210*n + 7. Let r(k) = -223*k**2 - 213*k + 6. Let d(o) = 7*r(o) - 6*w(o). Find the second derivative of d(v) wrt v.\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9602\/11 or -872?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 218191 times -0.3\nAnswer: -65457.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**6\/120 + m**5\/12 + 5*m**4\/24 - 5*m**3\/6 + 252*m**2 - 2. Calculate p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 76 = -5*g + k, 3*g = k + 46. Calculate the remainder when 30 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112032 and 28008?\nAnswer: 112032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36614444*m + 127738229.\nAnswer: 36614444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.94 and 0.9.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t**(2\/11))\/t)\/t**(-2\/45)*t**(-10)\/t*t*t*(t*t\/t**(-13))\/t assuming t is positive.\nAnswer: t**(3577\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*q**3 - 104230*q**2.\nAnswer: -5*q**2*(19*q + 20846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/6, -0.2, 131, -14 in descending order.\nAnswer: 131, 1\/6, -0.2, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7930011 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7*z = -2*c - 72, -9*c + 49*c + 87 = 37*c - 3*z for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50206 - 50206. Let p = -0.3 - -0.5. Let j = p - -0.8. Which is the second biggest value? (a) -2 (b) f (c) j (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03712 + 2.06712025. Let f = 0.77 - 0.8. Let j = f + w. What is j rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + n - 16 = -n, -3*n = 6. Let w be 0\/f*(3 + -2). Suppose -i + 42 - 13 = w. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35\/24 (b) -13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 70, -0.2 in descending order.\nAnswer: 167, 70, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -4896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2324699147 to the nearest integer?\nAnswer: 48215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5 - 1. Let o be 40\/6 - 3\/(-9). What is the greatest common divisor of y and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 4*h**3 - 2*h**3 + (-5*h - 3*h + 3*h)*(0*h**2 + h**2 - 4*h**2).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 921856099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56 (b) -0.3 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91995990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087.15 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -24. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-7)\/(-7))\/(1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756599 by 19.\nAnswer: -39821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-3) + (-12)\/(-18). Suppose 3*v - b - 5 = 0. Solve -2*h - h = 5*g + 22, h = -v*g - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688095 is divided by 1172?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1053 + 1158. What are the prime factors of v?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35169, 283107, 956531, 2268183, 4430805?\nAnswer: 7657139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 b when four letters picked without replacement from {n: 5, t: 1, p: 1, b: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 33*x = 12*x - 87066. What is x rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**3 - 11*p**2 + 12*p - 11. Suppose 39 + 33 = 3*v. Suppose 39*i = v*i + 165. Let l(c) = 2*c**3 + 4*c**2 - 4*c + 4. Determine i*l(h) + 4*u(h).\nAnswer: 2*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x**4 - 4*x)*(-6*x - 14*x - 3*x) + 0*x**5 + 4*x**5 - x**5.\nAnswer: 72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6 = -5*l, -3*l + 144 = 138 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 6*k. What is u(3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4122573 and 1092?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 17*l**2 + 4*l + 17. Let h be w(17). Let z = h - 87. Is 37 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5209 - 5207. What is the biggest value in -3, 1, z, -5, -183?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-80))\/(-1)*-2*-8)\/10.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1929, 928, -737, -3060, -6035, -9656, -13917?\n\"Answer: g**3 - 338*g**2 + 6*g + 2260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(272) + 1 + -1) + 0.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 12*o**3\/5 + 668*o**2\/5 - 3884*o\/5 + 244 = 0.\nAnswer: -61, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 + 0 = 3*q, 0 = -5*q - 5*o + 10. Let z(k) = 2*k - 2. Let b be z(q). What is the second derivative of 4*j + j**4 + j**b - 6*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 767 = -3*h - 2*z, h - 237 = 4*z. Let p = -142 + h. Let i = p + -101. What is the smallest common multiple of i and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*c**2*o*r - 3*c**2*r - 2*c**2 - 6*c + 15*o wrt r.\nAnswer: -33*c**2*o - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/7 - (22 - 21). Which is the second biggest value? (a) 4 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 44*m**2 + 95*m + 20. Let s be j(46). Suppose -147 - s = -5*a. What is the remainder when 115 is divided by a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2395 + -5)*-1 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a - 10. Let i(q) = -q**3 + 17*q**2 - q + 15. Let o be i(17). Let w be 6\/o - (-35 - -3). Solve -a*y - 4*n = w, n + 5 + 11 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 - a - 1. Let x(q) = 10*q**2 - 3*q - 11. Let t(j) = g(j) + x(j). Let r(v) = 6*v - 3. Let d be r(-1). Does 8 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 + 763*q**2 - 313*q - 1082. Determine f(-153).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7589 - -1?\nAnswer: 758a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**12\/((n**(4\/3)*n)\/(n\/(n*n**(-11\/2)*n))) assuming n is positive.\nAnswer: n**(235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2, -2\/11, 6, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -16444333\nAnswer: 2\/16444333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -167*o + 29*o + 792. Calculate the highest common divisor of 4659 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 19. What is r rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 82*p**2 + 4665*p + 937. Let n(i) = 55*i**2 + 3110*i + 625. Let a(g) = 7*n(g) - 5*z(g). Suppose a(k) = 0. What is k?\nAnswer: -62, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377 - 156. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.908 + -0.092. Let d = y + 57. What is the nearest to 0 in d, 2\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 989 + -17 + (-2 - 0). Let k = r + -688. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - (6 + 22 + -7 + -7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.11199 times 266\nAnswer: -29.78934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 10*i - 448. Let q = 77 - i. Factor -2\/3*m - 2\/3*m**2 + 2\/3*m**q + 0 + 2\/3*m**4.\nAnswer: 2*m*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1607016\/10273795 - -26\/18851. Let t = 79483\/9810 - l. What is the common denominator of t and -59\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40100.60001 + -40102.6. Let x = 7 + -5. Let z = x + q. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 1. Let z(g) = 63*g - 1. Calculate 3*f(m) - z(m).\nAnswer: -72*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j + 4. Let f be m(2). Let l be -2 + (2 - 28)\/(-2). Let z be 14 - (l + 1)\/f. Are z and 11 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/20 - 17*i**5\/30 + 733*i**3\/6 - 17*i**2 + 60*i. What is the first derivative of f(m) wrt m?\nAnswer: 18*m**2 - 68*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9768 + -0.6768. Let i = -0.6 - -5.6. Which is the third biggest value? (a) l (b) i (c) 2\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1808\/(-72) + 25)*6*-33.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416728057.\nAnswer: 29, 14369933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/7 - -39\/14. What is the closest to 2\/3 in 2\/13, d, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -18*x - 3*x - 11*x + 18*x. Let b(w) = -419*w**2. Determine b(g(i)).\nAnswer: -82124*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119? (a) 270 (b) -6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = p + 4*n, 10*n - 8*n = -2*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and ((-28)\/(-876))\/7*(-1992)\/(-48).\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*r + 58. Let s(t) = -t**3 - 10*t**2 - 15*t + 10. What is the units digit of s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4 - ((-2552)\/3 + (-6)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.16 + -43.66. Let u = 1 - 1. Let w be 4\/(-6) + 5\/6. What is the third smallest value in q, w, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917628 is divided by 305866.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r - i + 1, i = r - 8. Let x = -18 + r. Let m = 16 + x. Solve -2*p - 2*a + 0*a = -2, -5*a = m*p - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7355 divide 288498084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 14 (c) -5\/4 (d) -20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8852 and 79670\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -3\/2, -0.1, -6, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-v**3 + v**3 + v**4) + 5*v**2 - 24*v**2 + 5*v**2 + 2*v**4 in the form s*v**4 + w*v**3 + t*v + m + y*v**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x - 34 + 14.\nAnswer: -x - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let m(d) = 1490 - 1490 + 492*d. Give s(m(o)).\nAnswer: -492*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6155 is divided by 1203?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 118, 201, 304, 439, 618, 853?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (144 - 2)\/2*1. Suppose -5*u + 5*r + 29 = -l, 52 = 2*u + 4*r. What is u rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -52*c - 98. List the prime factors of k(-10).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**2*l**4 + 12*j**2*l**2 - 13*j*l + 1454*l**4 + 795*l**3 + 3660*l**2 wrt l?\nAnswer: -72*j**2*l + 34896*l + 4770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 21. Suppose -2 = 3*q + 10. Let y(d) = d**3 + 6*d**2 + 4*d - 2. Let a be y(q). Calculate the greatest common factor of a and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -5, -0.02, 1\/6 in descending order.\nAnswer: 1\/6, -0.02, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dusdebd. What is prob of sequence bs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 469 + 147 = 0. Let j be (-6)\/(-16) - (-231)\/g. Calculate the highest common divisor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 - -213. Let h be -1*30\/35*-70. Let k = p - h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.5 - 3.5. Let o = -1132 - -1143. Which is the third biggest value? (a) 1\/5 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345\/6 less than -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in 1, 2\/12797, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11811, 23270, 34729, 46188, 57647, 69106?\nAnswer: 80565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4203 is divided by 292.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 - 11.7. What is the third smallest value in 1\/3, -0.3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/7)\/m))\/m**7 assuming m is positive.\nAnswer: m**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10170, -24938, -39706, -54474, -69242?\n\"Answer: -14768*l + 4598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-32)\/(-576))\/(6\/(-36)*2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -78*n**2 + 8 - 108750*n**3 + 8 + 77*n**2. Let c be g(-4). Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5686*d**4\/3 + 3788*d**3 + 1890*d**2 - 8*d\/3 = 0. Calculate d.\nAnswer: -1, 0, 4\/2843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.073 rounded to 0 decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29\/5? (a) 0.1 (b) 1\/3 (c) -4 (d) -22.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 = 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/((-3)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*f + 387*f + 12557 = -376*f - 7287 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 126, 90, 8, -138, -366, -694, -1140?\n\"Answer: -3*a**3 - 5*a**2 + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwjwwj. Give prob of picking 1 w and 3 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3242696 is divided by 3118?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x - 3. Let h(f) = -1. What is -h(r) + t(r)?\nAnswer: -r**2 + 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmmmtmt. What is prob of picking 3 m?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10053.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most as big as 3369602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64\/64*(15\/(-25))\/((-3)\/(-38))*-5\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 199717 and 721.\nAnswer: 199717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*c - 3359*c**2 + 375*c.\nAnswer: -3359*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let c(l) = b + 2 - 2 - l. Let h(x) = 2*x**2. Calculate c(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -k + 262, 132 = 5*d - k - 126. Calculate the greatest common divisor of d and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3209\/7 (c) 0.06 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936493031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:50 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142425 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: Suppose -n - 4*g = -1407, 2*g = -4*n - 0*n + 5572. Put 0, -2\/7, n in increasing order.\nAnswer: -2\/7, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*w = -19 + 3, -3*u + 3*w + 30 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 390*d - 34943. What is v(-139)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 78. Let i(n) = n**2 + 27*n - 155. Let x(b) = 6*i(b) - 13*r(b). What is the first derivative of x(g) wrt g?\nAnswer: 12*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*n + 51 = 0, 3*n - 6*n + 3 = 0. Calculate the least common multiple of y and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68852.\nAnswer: 2, 7, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 + 230. Let z = f + -39. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -401089.\nAnswer: 178\/401089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 i when three letters picked without replacement from imkixiiixx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3082 and -30392.\nAnswer: -93668144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 12*p + 245 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/2? (a) 3 (b) -0.07 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -86.2?\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129365, -129178, -128995, -128816, -128641?\n\"Answer: -2*x**2 + 193*x - 129556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225.69 - 241. Let u = x + 0.41. Let i = -15 - u. Which is the closest to i? (a) 3\/4 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -194*c - 3. Let k(v) = -3*v + 982. What is j(k(p))?\nAnswer: 582*p - 190511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 982, 14753, -4 in descending order.\nAnswer: 14753, 982, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10\/450 - (-334862)\/(-2790))*(3 + 174\/(-56))\nAnswer: 90\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6 + -3 + 1. Let b = -27\/2 - -14. Let h be 2\/6 - 30\/18. What is the closest to r in -4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = -u, -2*p + 0*p = -3*u + 33. Let g = p + 65. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68833053 and 267684095.\nAnswer: 2409156855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5841824.\nAnswer: 2, 311, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -0.2, -3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + 43*m - 17. Let v be n(14). Let l(x) = 3*x**2 + 13*x + 8. Let y be l(v). Let z be 1 + (0 - 0 - 0). Put 12, z, y in decreasing order.\nAnswer: 12, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -99*d**4 + 3054*d**3 - 10551*d**2 + 7164*d - 972 = 0. What is d?\nAnswer: 2\/11, 2\/3, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/18)\/(3\/27). Suppose l + 4 = m, -u*m + 4 = 4*l - 3*l. Solve 5 = m*t + 4*a + 1, t - a = -1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8cd1a + 56?\nAnswer: -8ccc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -25. Let j = l - 12.93. Let v = j + 0.73. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, y: 7, p: 4}. What is prob of sequence mpmp?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2614, 2606, 2600, 2596?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157793?\nAnswer: 157793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336 (base 14) to base 16.\nAnswer: -27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*u - 1457 + 1799 + 1512 + 1940 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8551025l to millilitres.\nAnswer: 855.1025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v - 75 = -78*v. Suppose 2*d - 1280 = -784. Calculate the remainder when d is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3052182 and 42?\nAnswer: 3052182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/24 - -13\/8. Let v = 21 - 20.7. Which is the fourth biggest value? (a) k (b) 2 (c) v (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 14. Let i = 0.38 + 0.02. Put -1\/4, q, i in ascending order.\nAnswer: q, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/4 - 1802*q**4 - 208137*q**3 - 7940585*q**2\/2 + 480752675*q\/4 - 232015875\/2 = 0. Calculate q.\nAnswer: -65, 1, 15, 7322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1004 and 14\/61?\nAnswer: 61244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/8 + 17*d**3\/3 - 2*d**2. Suppose -119 = -14*u + 21. Let c be r(u). Solve c*i + 3 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 1 + sqrt(2299) + -2 + 1.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 5*u**2 + 4 + 0*u**2 + 6*u**2. Let m be c(3). Put -1, -5, m in increasing order.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, -4, 39, 5, -1\/10, 4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2773*b + 3*p - 23 = -2777*b, 5*p + 20 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 + 224.30016. Let n = 0.304 - d. Round n to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*v - 3*v = 8, 0 = 5*v + 25. Let x(c) = -7*c + 9. Let h be x(6). List the prime factors of 0 - (y - h\/(-3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -32*h + 2. What is the units digit of u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23767 (base 10) in base 6?\nAnswer: -302011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -75*n + 388. Calculate y(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012927 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55)*-3)\/(sqrt(245)*3).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdcc when four letters picked without replacement from {g: 2, f: 6, o: 2, c: 3, d: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111001000000 (base 2) to base 15.\nAnswer: -1b879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -a81?\nAnswer: a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/965 less than or equal to -9306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 918*y**2 - 23*y + 308*y**2 + 16*y + 12*y as s*y + r*y**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 75*a**4 + 45*a**3 + 9*a**2 + 3*a\/5 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 902, 1034, 1158, 1274?\n\"Answer: -4*r**2 + 144*r + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 29. Let z(c) = -4*c**2 - 15882*c. What is z(t(q))?\nAnswer: -36*q**2 + 48342*q - 463942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 11. Suppose 21 = m + g. Suppose -m*p + 4*p - 25 = 0. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427455 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94262813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20.8, 0.1, 251?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + 3*n)*((114*n**2 + 2262 - 2262)*(0*n - n + 4*n) + n**3 + 2 - 2).\nAnswer: 343*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-6)*1*(-29)\/145*3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1587, 12064, 40411, 95562, 186451, 322012, 511179?\nAnswer: 762886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-4)*(-44)\/66. Factor -28*f**k - 51*f**2 - 44*f**2 - 64*f - 274*f**2 + 137*f**2.\nAnswer: -4*f*(f + 8)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h + 11. Let p be z(3). Let q = p + 137. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14289 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22580492 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**2 - 204*s + 59. Calculate the remainder when 580 is divided by f(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/9060533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69790237 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-22)*(-7 - -37). Solve 3*w = -n, z + z = -w - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-3)\/((-9)\/6)). Let l(j) = j**3 + 2*j**2 - 1. Let a be l(c). What is the third derivative of 0*o**a - 5*o**2 + 2*o**2 + 2*o**4 - 5*o**4 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100402, -100228, -100054, -99880, -99706?\nAnswer: -99532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -3*x - 5*j, -2210*x - j + 26 = -2216*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-1*(0 + 1). Find the second derivative of -3*p**2 + 2*p**t + 0*p - 2*p - p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4403925 and -4403927 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35 = 5*q, i + 5 = 3*q + 12. Let m(p) = p - 2. Let n be m(i). Solve -14 = j - n*h, 0 = j - 0*j + 2*h - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r**2 - 3*r)*(-r - 3*r + 2*r)*(-3 + 0 + 0)*(-3 + 0 + 1).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(25\/(-10)) + 24. Let n = j - 25. What is the remainder when 181 is divided by ((-14)\/(-1))\/(n + -2)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*j + 28575 + 0*j**4 - 28572 + 0*j**4 + j**3 - j**4 - 6*j**2 to s*j + p*j**4 + g*j**3 + d*j**2 + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16770*j**2 + 44006*j.\nAnswer: -33540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = g - 2*g + 18, -5*g - 10 = -5*w. Suppose 93 = g*s - 13. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86397 and 465.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 + 2*s**4 + (-2*s**4 - s**4 + s**4)*(0 - 4 + 6) - 3*s**4 + 2*s**4 + 3*s**4 + 0*s**4 - 4*s**4 + 5*s**4 + 15172*s - 15172*s + 5 + 2*s**4.\nAnswer: 3*s**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -67, -103, -137, -169?\n\"Answer: g**2 - 41*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 46641142\nAnswer: 46641141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let c = 0.4 + 3.6. Let w = c + f. What is the closest to -0.1 in -0.2, w, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10241 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 52*w - 153. Let f be m(55). Solve 16*j - f = 13*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392562 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17200\/8170 + 4\/(-38))\/(4\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -460480.\nAnswer: -184192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - ((18 - -12) + -23)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 968*o - 963*o - 11, 74 = 5*a + 2*o. What is the remainder when 52 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 3*j - 5, -4*h = j + 33. Let c be 5\/(12 + h - 35\/10). Solve -20 = 5*l - c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -14)\/(13\/(117\/(-45))*12\/210).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 21*k**2 - 148*k + 702. Determine w(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4) + 81\/(-18). Let r be ((-3)\/(-3) - y) + -9. Let u = 117.6 - 118. Which is the nearest to 3\/2? (a) u (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 0, 10 in decreasing order.\nAnswer: 10, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36433960 divided by 9108490\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 815507647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (104\/390)\/(5\/((-25)\/6))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -585*t**4 + 311*t**2 - 4*t. Let g(u) = 1175*u**4 - 622*u**2 + 9*u. Let f(m) = 4*g(m) + 9*j(m). What is the third derivative of f(w) wrt w?\nAnswer: -13560*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.237, -0.3, 5 in descending order.\nAnswer: 5, 0.237, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218320 - -607299. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 59. Suppose 0 = -5*t - 3*v + u, 0*v - 2*v + 26 = 5*t. Suppose -t*d + 55 = -25. Solve 2*i + 2*i - d = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/19 and -97\/608.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -67. Suppose 5*s - 35 = 5*l, b = -3*l + s - 19 + 4. Sort 0, l, -2.\nAnswer: l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011111 (base 2) to base 9.\nAnswer: -825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i)*(16659*i - 37138*i + 16243*i)*(-2 + 2 - i**2).\nAnswer: 4236*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5759 or 31?\nAnswer: 5759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 13*d + 39 - 2*d + 26 in the form x*d + c and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 + 1659*w + 308. Determine a(-138).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168507738 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2955534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*n + 36*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -96?\nAnswer: 96.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/16 + 35\/16. What is the common denominator of h and -89\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 + 10*f + 28. Let b be g(-6). Let c be 17\/5 - (-21)\/35. Let y be ((-9)\/(-6))\/(2\/c). Solve -3*n = 5*i + 16, -5*n + y*n = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167303511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 16 - 7) + -36 + -26?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 59072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596495, -1192997, -1789499?\nAnswer: -2386001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165108 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*b**2 - 31954*b + 11430936.\nAnswer: -2*(b - 297)*(11*b + 19244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 193 = 187. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 38*y**3 - 2*y**2 - 40*y**3 - 2 + 4*y + 3*y**4 to the form r*y**3 + g*y**2 + q + b*y + p*y**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*sqrt(21)\/(sqrt(3)*-3).\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 961393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 2 + 11\/6*r**6 + 0*r**4 - 4*r**2 + 0*r**3 - 3*r + 0*r**5. What is the first derivative of q(a) wrt a?\nAnswer: 220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1720\/(-22) - 4\/(-22). Let q be (-38)\/s - (-6)\/(-39). Which is the closest to q? (a) -3 (b) -2 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13710 + 13714. Which is the smallest value? (a) 298 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1480 - 15581 + 2544 - 1454 + 3331 - 8647*k with respect to k.\nAnswer: -8647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 560, 819, 1078, 1337?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(6*j**3 + 0*j**3 + 14*j**3)*(0 - 4 + 1)*(-2 + 2 - j) to the form t*j**2 + g*j**3 + x*j + i + r*j**4 and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*z - 7*z + 3*l, -z + 5 = -5*l. Put z, -242, -4 in descending order.\nAnswer: -4, z, -242","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -104.\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 13*g + 29*g + 2*g.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 83 = -15*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 256454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + j - 2. Calculate f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 439 + 169 = 0. Let g = y - -646. Suppose -5*d + 5*v + 655 = 0, -4*v + g = 3*d + d. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b\/b**4)\/((((b*b**(-5)\/b*b)\/b)\/b*b)\/b**(-3\/8)) assuming b is positive.\nAnswer: b**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13373310*s**2 + 13373334*s**2 - 197*s + 2*s)*(0*s**2 - s**2 + 0*s**2) as f*s + a*s**4 + w + l*s**2 + p*s**3 and give p.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 4:13 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1a850cd?\nAnswer: 1a850cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, -1 in decreasing order.\nAnswer: 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*t - 2 - 9*t**2 + 83*t - 6*t**3 + t**3 in the form y*t + n + v*t**3 + q*t**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940) - (sqrt(2940) - ((sqrt(2940) - 1*sqrt(2940)) + sqrt(2940))))\/(sqrt(12) + (2*sqrt(144))\/sqrt(12)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)\/sqrt(4))\/sqrt(4))\/(sqrt(16)*-4) - (sqrt(18) + 1 - (sqrt(2) - (sqrt(96)\/sqrt(3))**2))*5.\nAnswer: -165 - 81*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 50 - 47 = -36*u - 8*n, 3*n + 12 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*n = 279 + 105, -587 = -3*y - 5*n. Let h = -188 + y. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -10. Let r be 21\/35 + x\/(-5). Find w such that -12*w**2 - 3*w**r + 20*w**3 - 8*w + 3*w**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) + -1 + (-2150)\/129. Sort -10, 0, g.\nAnswer: g, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 105*c - 391. What is the units digit of j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140007747 is divided by 232571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11208801?\nAnswer: 3, 179, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3 - 1701*t + 1698*t.\nAnswer: -3*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*h + 20277 = 0, -8210 = -2*v + 3*h + 1927. What is the highest common divisor of 80 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917791258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83310233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 - 2279\/11. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -1, -4, -2, 1 in descending order.\nAnswer: 4, 1, -1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from kfkffff.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**7\/168 + 3*f**5\/80 - f**4\/24 - 2*f. Factor s(g).\nAnswer: -g**2*(g - 1)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -19*q**4\/24 - 7*q**3\/6 + 12*q**2 - 16*q. Let h(t) be the first derivative of m(t). Differentiate h(u) with respect to u.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + a + 48. Let x be q(0). Suppose 0 = -6*v + 8*v - x. What is the highest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42657, 84938, 126841, 168366, 209513, 250282?\nAnswer: 290673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.54*-0.5.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -360 + 188. Let k be z + 8*5\/10. Which is smaller: k or -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2708*v**5 - 2*v**3 - 2*v**2 + 2*v + 2928?\nAnswer: 54160*v**3 - 12*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2506656 (base 9) to base 2\nAnswer: -101001100110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t*u**3*y + t*u*y - 413*t*u - 81*u**3 - y wrt t?\nAnswer: u**3*y + u*y - 413*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*t + 20, -44*a + 39*a = -25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.8, 3, -11359?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4739948 and 4\/3.\nAnswer: 14219844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*t + 2664 = -77*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 13 = 5*k, k = -q - 30806 + 30798 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(175) + (sqrt(175) + (sqrt(175) - (2*(sqrt(175) + 0) + sqrt(175)) - sqrt(175)) + sqrt(175))**2.\nAnswer: 5*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33280 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120916495 and 0.05.\nAnswer: -6045824.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*u - 3*b, 4*u - 1335*b + 1327*b = 92 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -49*x**5\/180 - 7*x**4\/18 - 2*x**3\/9 + 6*x**2. Factor c(b).\nAnswer: -(7*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*q, -3*q + 8 + 4 = 2*j. Calculate the remainder when 6 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965*x - 19384 = -35430 - 25219 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.8, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k + 5*y - 45 = 61*k, 3*k - 3*y = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 22 = -11*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/12)\/(2\/(-16)). Let r = k - 5. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 63. Suppose -2*p + 18*h - 16*h + 48 = 0, 3*h = 4*p - 94. Let c be y(p). Solve 0 = -2*r + 4*s - 3*s + 1, 2*r + c*s = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1000001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/30 - 9)*(1 + -7).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v\/(v*v\/(v*v**1*v*v))))\/v*v)\/v)**9)**(2\/7)\/((v\/v**(-4\/5))\/(v*v**(-2\/9))*(v**0\/v)**(-27)) assuming v is positive.\nAnswer: v**(-12067\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-10))**(40\/3)*(((z**(3\/4)*z)\/z)\/z)**(-45) assuming z is positive.\nAnswer: z**(1895\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -1\/6*l**4 + 0*l**6 + 0 + 0*l**3 - 2*l + 0*l**7 + 0*l**2 + 1\/28*l**8 + 0*l**5. Find the third derivative of u(i) wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 - 0.2105\nAnswer: -164.2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z**2 + 6*z - 6. Let m be c(4). Let n be (-18)\/m*(-6)\/27. Suppose 3*g + 0*t = -t + 129, -5*g + n*t + 215 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foffooofofff. What is prob of sequence ffff?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1224298 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 805326346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 29, -2252?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 6. Solve -4*i + 0*i = -2*c + 20, -p*i - 3*c = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 25*f**2 + 16*f - 26. Calculate a(-3).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:17 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - -16.6. Let n = -5644 - -5587. Let i = n + a. Round i to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 581*q**2. Let z(v) = 8*v. What is z(d(h))?\nAnswer: 4648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2223660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11172103\/324 + -68963\/2. Let b = 4\/81 - o. What is the second smallest value in -1, -2\/51, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/70 and -2\/231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1404057618 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2458 + 5326 + 287 = 157*n + 1163 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6340*g + 76210. Calculate o(-12).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110010000011110 - 100?\nAnswer: -110110010000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.1 + 21. Let k = 13154\/13 - 1012. What is the nearest to -0.1 in -1, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3 - 1. Let h(x) = 4*x + 3. Let z be h(c). Let l(n) = 3 - 3 - 3 - n**2 - 4*n. Calculate l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -1)\/(4\/14764) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.7*-70\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149481402 to the power of 1\/2, to the nearest integer?\nAnswer: 12226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -631 + 1060. Suppose 2*l + 11 - g = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7*t - 2*t + 20, 3*t - 2*z = -13. Let q(n) = -4*n + n + 2*n + 7 - 15. Calculate q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:20 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 1\/2*k**4 + 0*k - 3*k**2 - 1\/30*k**5 + 0 - 3*k**3. Solve r(d) = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*y = 885*y + 1130 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + (-6)\/(-4). Let o be 6 - -1 - 4\/f. Solve 4*x - 29 = -3*u, 10 = o*x + 2*u - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 721295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59685 divided by -519.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + -4 - -5 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1569)\/(-6) + 1 + 3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + -3381\/11. Let x = -34\/33 - d. Let n be ((-4)\/(-6))\/(1\/3). Sort n, 5, 0.5, x in descending order.\nAnswer: 5, n, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**3\/3 - 2*d**2 - 6*d. Let k(j) be the first derivative of -5*j**2\/2 - 5*j + 12. Give -5*k(n) + 6*r(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-4) - (-1)\/4. What is h in h**w - 7 + 13 - 7 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125798 less than -9816890?\nAnswer: -9942688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1126574 or -1\/73?\nAnswer: 1126574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -3*b + n, 0 = 5*b + n - 22. Suppose 0 = 3*a - a - 28. What is the lowest common multiple of a and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 32 = 3*u, 3*u - 32 = -2*u + 3*l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r**2 + 83*r - 83*r)*(r**2 - 2*r**2 + 2*r**2) + (2 + 2*r - 2)*(3 + 2*r**3 - 3).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 530136 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 0, 12, 42, 96, 180, 300?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 657560.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15561968 to the power of 1\/2, to the nearest integer?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1. Let a(d) = 2*d**2 - 2*d + 3. Determine a(c) - x(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 369 = -156. Let c = 153\/2 + w. Which is bigger: -0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 17*a - 1\/12*a**4 - 1\/20*a**5 - 9*a**2 + 0*a**3 + 0. Suppose 2*g + 2*j = 8, -5*g + 2*j + 2*j - 16 = 0. What is y(g)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596849400 a multiple of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m**4 + 10*m**3 + 6*m**2. Let d(l) = 3*l**2 - 3*l**4 - 2*l**2 + 2*l**3 + 0*l**2. Let t(v) = -11*d(v) + 2*s(v). Find p, given that t(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + y + 3*y + 77 - 77 + 76*y + (2 + 3 - 4)*(-2 - y + 2))*(-13*y + 26*y - 18*y) as w*y + h*y**2 + f and give h.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136420728?\nAnswer: 2, 3, 23, 53, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2*30\/(-25). Suppose -o + 2*d = -f*o, -15 = 5*d. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4)*-1)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b*w*z + 4*b*w - 2*b*z - 295*b + 8*w*z - 5*w + 62*z wrt w?\nAnswer: -4*b*z + 4*b + 8*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 7*d + d**2 + 4*d**2)*(367 + 104*d - 367) to the form b*d**2 + y*d + g + r*d**3 and give b.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 greater than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 6190 = -5970 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-681539\nAnswer: -681539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = k, 4*b - 3*b = 3*k - 12. Suppose 0 = 5*h - 134 - 186. Suppose 20 = 5*j, -3*o - 4*j + h = -0*o. Solve p - o = k*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i + 874*i**2 - 7*i**4 - 4*i**4 - 874*i**2 wrt i.\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 + 9*r + 20. Let s be x(-4). Suppose 6*l = l. Suppose -3*b = -s*b - 2*m + 10, -5*b - 5*m = l. Let w(d) = 2*d**2 + 3*d + 2. Give w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156474232 plus 10865?\nAnswer: -156463367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 8*o + 7. Let j(t) = 4 - 4 - 507*t - 3*t**2 + 500*t - 6. Let g = -11 + 5. Determine g*j(h) - 5*i(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -122223, -121635, -120655, -119283, -117519?\n\"Answer: 196*f**2 - 122419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/40 - r**4\/8 - 2*r**2 + 3*r. Let t(a) be the first derivative of d(a). Find the second derivative of t(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3993189539 to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48974539?\nAnswer: 113, 347, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 15707*f - 54 = 15706*f, f - 7 = 2*s + s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3 - (-1)\/((-27)\/(-75))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*p - 3 = 0, 0 = -3*m - 2*p - 0*p + 9. Suppose -x + 0*x + 124 = m*a, 5*a - 247 = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2*t**2 - 2*t + (0 - 4 + 1)*(-2*t**2 + 2*t + 5*t**2 + 0*t**2) in the form p*t + w*t**2 + d and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 140\/3. Which is the third biggest value? (a) -14 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**2 - 7*v + 4. Let g be x(4). Suppose -4*k = 2*h + k - 21, 0 = -5*h + k + g. Suppose -4*s + 76 = -4*r, -s + 2*r = -r - h. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4150, 4450, 4956, 5668, 6586, 7710, 9040?\nAnswer: 10576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 0 + 1\/2*y**2 = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*a + 20 = -9*a, -5*t + 5*a = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 7*v - 17*v as r + z*v and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, 6, 170, 390, 672, 1022?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28384, -28164, -27944, -27718, -27480, -27224, -26944?\nAnswer: -26634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.05819.\nAnswer: 0.017457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -31. Calculate the remainder when (-255)\/85 - (-1 - -3)*-32 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4113572*q**3*z**3 + 22*q**2*z**2 - 1579*q*z**3 + z wrt q.\nAnswer: 24681432*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37781 (base 13) to base 7\nAnswer: -604253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-25)*11\/(-88)*4. Which is the biggest value? (a) v (b) 1\/5 (c) 0.3 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 147 - 15 = 0. Suppose -r*n = 2*n + 23*n. Solve w + 4*w + 5 = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26750345.\nAnswer: 5, 1097, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -90. Let n = 36.7 - q. Let w = n - -2.29964. Round w to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = s - r, 0 = -0*s - 3*s - r - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300)*-3)**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let d(k) = -u*k + 4*k + 3*k - 2*k. Let c(f) be the first derivative of 3*f**3 + 17. What is c(d(q))?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Let u = -915 - -917. Solve -3*x = 2*h - 20, 6 = -3*x + i*h - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(3630) + sqrt(3630))\/sqrt(6) - (2 + 3 + -1*sqrt(245))**2.\nAnswer: -273 + 147*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000287627 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 126?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 14. Let x be n(6). Let r(g) = -g + 4. Let k be r(x). Solve 0*f - f - 5 = -5*l, l - 5*f - 25 = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Let b = -4 + v. Solve -5*y - 3*q + 14 = b, y - 3*y = 2*q - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112321321 (base 4) in base 13?\nAnswer: -33919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose 6 = -5*w - y. Let g(q) = -q + 1. Let d be g(w). Solve -3*r - 5*u - 2 = 0, 0 = -2*r - d*u + 4*u + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -155, -219, -275?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112609, -2224387, -3336165, -4447943, -5559721, -6671499?\nAnswer: -7783277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o - 21*o + 12*o. Let y(x) = x**2. Give v(y(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c + 14. Let n be k(0). Solve 4 = -2*o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -9*d. Solve -d*c - 9 = z + 6, 2*c + 20 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912 and 5329196.\nAnswer: 63950352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 36*g**4 + 172*g**2 - 82*g**3 - 120*g - 66*g**3 + 32*g**3 - 4*g**5 + 32 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:35 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 222*c - 1287. What is f(6)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158 >= 249581\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/897 and 25\/156.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = 0, -3*h + 3*g + 84 = -g. Suppose -c = -5 + 2. Suppose c*i = -2*i + 350. What is the remainder when i is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -36609*t - 2013493. Calculate g(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-8)\/(-920))\/(3880\/62468)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/(z\/(z**(-2)*z)))\/z)*z**(-1\/7)\/z)\/(z**(-8)\/z**(-4\/3)))**(-12))**25 assuming z is positive.\nAnswer: z**(-17900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2146 - -10?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/664 and -55\/16?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(18) - -6*sqrt(54)\/sqrt(3))\/(3*sqrt(729)).\nAnswer: -5 + 7*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -4*g + 5, -4*g + 12 = -4*u. Let v(a) = -14*a + 453. Let t be v(32). Solve 3*o - b - t = 0, -2*o + 4*b + 10 = -g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 6, -1\/104, 5, -0.29, 14 in increasing order.\nAnswer: -0.29, -1\/104, 0.2, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 239727 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.04, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 5:19 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366010433?\nAnswer: 19, 137, 140611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 1698*c**3 - 850*c**3 - 846*c**3.\nAnswer: 2*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2. Suppose 5*d = g + 35, -2*d - x*d = -g - 29. Solve 0*c = -3*c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -118, -117, -116?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 2*j + 2, -4*j = n - 11. Suppose 0 = -0*b + j*b - 14. What is the smallest common multiple of 6 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 210067200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.807868nm to meters.\nAnswer: 0.000000007807868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6704*m**2 + 4*m - 2238*m**2 + 177 - 2232*m**2 - 2237*m**2.\nAnswer: -3*m**2 + 4*m + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -28. Solve 2*r = -3*x + 12, s = -4*x - 2 + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 510*y**3 - 3441*y**2 - 2934*y.\nAnswer: -3*y*(y + 1)*(y + 6)*(y + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 + 3*w**3 + w + w + 3*w in the form z*w**2 + o + v*w**3 + n*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 20*s**2 + 42*s + 42. What is the least common multiple of t(-1) and 322?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-2\/59))*i)\/i**(-1\/8) assuming i is positive.\nAnswer: i**(75\/472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t + 6. Let d be k(-6). Find the common denominator of 41\/18 and (-1095)\/d + 2\/14.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5. Let t(w) = 8*w**2 - w - 65. Let p(m) = 26*c(m) - 2*t(m). Let a(x) = -4*x. What is p(a(b))?\nAnswer: -256*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 3*a + 135, 2*a - 3*a + 60 + 27 = 7*b - 36 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 33 = 3*b - 0*c, -5*c + 27 = b. Let q(o) = o**3 - 5*o**2 - 5*o - 2. Let s be q(6). What is the highest common divisor of s and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 25*h + 140. Calculate u(-11).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 401\/5 in -3\/5, -0.06, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) + 0))**2 + -1 - sqrt(128) - (-3 + (sqrt(20)*-1)\/sqrt(10)).\nAnswer: -7*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((6\/4)\/(-3)). What is the units digit of (5\/2)\/(1\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 312 = -5*v, -v - 208 = m - 3*m. Let s = m + -74. Suppose -5*b = -w + s, -4*w + b - 3*b + 98 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2841631 equal to -2841633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5\/5 + 62627338*z**4\/15 + 13221332*z**3 + 45926738*z**2\/3 + 38272284*z\/5 + 20875792\/15 = 0.\nAnswer: -1, -2\/3, -1\/2, 5218948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/120 + 7*j**4\/24 + j**3 + 5*j. Let i(m) be the second derivative of l(m). Determine i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 32, 64, 104, 152, 208?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let a(s) be the first derivative of s**2 + 3*s**2 - 5*s - 3*s**2 + x. Find the first derivative of a(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/112)\/(6\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 7. Let s(x) = 13*x - 13. Let u(i) = 6*s(i) + 11*t(i). Let w(v) = -7*v + 8. What is 24*u(d) + 3*w(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 127368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 84. Suppose 5*m = 5*x - v, 0 = -m + 4*m. Suppose -z - 3*f - 7 = -41, -2*f = -3*z + 58. What is the lowest common multiple of z and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 5*k + 1. Let i(b) = 2*b**2 - 2*b + 1. Let w be i(2). Let l be t(w). Differentiate 1 - 2*c**2 + l + 2*c**2 - 2*c**3 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001412357 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, -2, -14, -30?\n\"Answer: -2*z**2 - 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u, -4*k = k + 2*u - 385. Calculate the common denominator of (-3)\/12 - 27\/(-8) and (-2)\/(18\/k) - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 10. Suppose 0 = -m*c - 2*c + 20. Calculate the least common multiple of c and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11012012 + 10?\nAnswer: 11012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 9*x + 2. Let i be g(9). Determine y, given that -10*y**3 - 10*y**4 - 7*y**4 + 9*y**4 - i*y**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33001176 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -3*q**5\/5 - 57*q**4\/4 + 4*q**3 + 114*q**2 + 2286. Factor a(k).\nAnswer: -3*k*(k - 2)*(k + 2)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = 23*b + 3. Is 2765\/79 + (b - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -5635?\nAnswer: 5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3209613, 6419124, 9628531, 12837834, 16047033?\nAnswer: 19256128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + -3 + (sqrt(700) + -2*sqrt(700))*6 + 4 + sqrt(700)*1 + 1*(sqrt(700) + 2)*-5)**2.\nAnswer: 1200*sqrt(7) + 70036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-136)\/(-16))\/(-17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2078302 times -0.11\nAnswer: -0.022861322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than -474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 19*t - 8. What is the remainder when f(-8) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*sqrt(180)\/(-1*sqrt(10))*-4)\/(sqrt(54) + -1*sqrt(54) - -1*sqrt(216) - 1*sqrt(96)*-3).\nAnswer: 50*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 2 + 2*z - 18607*z**3 - 5*z**4 + 18591*z**3 + z**4 to the form m*z**2 + k*z + s*z**4 + h + w*z**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33899, 67664, 101429?\n\"Answer: 33765*d + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)\/a)**(2\/45) assuming a is positive.\nAnswer: a**(2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 0. Solve 5*d + v = 2*r, -1 = -3*r - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*(r*(r*(r*r\/r**6)\/r)\/r)\/r*(r**(2\/5)\/r)\/(((r*r**5)\/r)\/r)*((r*(r**(1\/4)\/r)\/r)**(-30))**(-49) assuming r is positive.\nAnswer: r**(-11161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 88689902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 25\/6*p**3 + 2*p - 35\/2*p**2 + 0. Let s(m) = 2*m - 3. Let w(t) = 3*d(t) - 35*s(t). Let c(q) = q**2. Determine w(c(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 8}. Give prob of sequence uu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18)\/(((444\/18)\/37)\/(-14))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 16 = 2*x, 2*o + 13 = -8*x - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 158 = -u, -u = 2*u + 6. Suppose 5*t + 33 = n. Solve 5*k - 6 = t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 106731485*r - 11391609890305225\/2.\nAnswer: -(r - 106731485)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 182, -2425?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.5 + -16.5. Let t = -3 + r. Which is the closest to 7\/3? (a) 0.2 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24\/5 + -43\/10. Let r(f) be the second derivative of 0 - 3*f + z*f**3 + 0*f**2 - 3\/4*f**4. Factor r(i).\nAnswer: -3*i*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -5 (c) 25 (d) -9 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4068572 or -4068574?\nAnswer: -4068572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*(h\/(h\/h**(-5\/3)))\/h))\/h)\/(h**(-5)\/h)*h**(-5\/9)\/(h*h**(-1\/4)))**(26\/3))**(-5\/14) assuming h is positive.\nAnswer: h**(-14885\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008082393 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l + 1. Let z be -4 - 0\/(2 + 1). Let a be p(z). Suppose a = 4*m + 1. Solve 0 = -2*q + m - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3684*q**5 - 16955*q**4 + 212026675*q**2?\nAnswer: 221040*q**2 - 406920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 13*v + 29. Let a be i(-12). What is the third derivative of 37*q**5 + 20*q**5 + 35*q**2 - a*q**5 wrt q?\nAnswer: 2400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119090 - -75490. Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 36. Let g be l(13). Suppose -10*o - 52 = -g*o. Solve 6 + o = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -23, -63, -139, -263, -447, -703?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5996260 is divided by 218.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 0 - (1027 + -1055)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)\/((q\/q**(2\/13))\/q)*(q*q**(2\/7)*q)**(-2\/61)*((q*q**(1\/7))\/(q\/(q*q**2*q*q)))**(4\/21) assuming q is positive.\nAnswer: q**(859184\/738283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + w + 1. Suppose z + 2 + 1 = 0. Let p be k(z). Let u = 1012 - 1010. Solve -4*h + p = 4*v, u*v + 19 = -2*v + 3*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(196) - (sqrt(19) - (-2 + (sqrt(19) - sqrt(95)\/sqrt(5)))).\nAnswer: -6*sqrt(19)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/6)\/(28\/(-84)). Solve 15 = -4*k - i - 2*i, -5*i - z = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/5)*w))**(1\/21)*(w**4)**(-3\/19))**(-2\/39) assuming w is positive.\nAnswer: w**(2672\/77805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -23*t - 11. Let i(a) be the second derivative of 2*a**3\/3 + a**2 + 18*a - 10. Give 34*i(o) + 6*x(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4 + 3*v**2\/2 + 3*v + 4. Let u(s) = -4*s**3 - 4*s - 4. Let b = 7 - 3. Calculate b*n(w) + 3*u(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 1, c: 1, t: 1, f: 4, o: 3}. What is prob of picking 2 j and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046627 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007644 to 6 dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.424154ms in microseconds?\nAnswer: 7424.154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*v - 54 + 427, -4*v + 154 = 2*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 18507*q**3 - 3*q**2 - 18507*q.\nAnswer: 3*q*(q - 1)*(q + 1)*(q + 6169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Suppose 5*m - 21 = -c - c, 4*c = 2*m + 6. Let l(t) be the third derivative of 0 + 0*t**c + 0*t - 4*t**2 - 1\/8*t**4. Calculate i(l(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -r, -2*m = 4*r - 7*m - 73. Calculate the remainder when 21 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v - 76. Let z be d(10). Calculate the highest common divisor of 3982 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 286.5882 - -4.5218. What is d rounded to 0 dps?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 - 27489\nAnswer: -27428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (0 + (-3 - -14) + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/120 - 7*a**5\/60 + a**4\/4 + 2*a**3\/3 + 7*a**2. Is h(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = d + m + 2*m, -4*m = 5*d - 140. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586954 is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 9*j - 4. Let c = 2 + -12. What is the units digit of o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.7 - 7.2. What is the third biggest value in 2\/7, 1\/10, -4, v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkkktkvlkkl. What is prob of picking 3 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5267657 + -570260. Let b = c - -2708791935\/464. Let j = b + 89\/58. What is the common denominator of -49\/20 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1508 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 3*r**3 - 18 + 78.\nAnswer: 2*r**3 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -61. Let n be ((-10)\/3)\/((-2)\/t). Suppose -19*i + n*i = 0. Which is the nearest to 1? (a) i (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5698\/19389 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - 0 - -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 1 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 11:29 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -94, -172, -276, -412?\n\"Answer: -q**3 - 4*q**2 - 39*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*r + 10 = -p, p = -3*r + 9. Let w be (4\/p)\/(20\/45). Suppose w*b + 1075 = 8*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + c + 1. Suppose -10 = 4*l - 34. Let k be d(l). Let n = k + 4. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702366791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 10626*r**3 + 743208*r**2 - 13488510*r + 12755925 = 0.\nAnswer: 1, 35, 3471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-35)\/15 - 1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - -10 - (40 - 7) - -60?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 8, -2*q + 3*u = 2*u + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 1 + -4 + -4 + 7 - -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 9. Let s be t(-10). Which is the second biggest value? (a) 9 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t + 204 = -114*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1947479 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + 0 + sqrt(1088) + 0)*-6.\nAnswer: -48*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 + 6*l - 2. Let m be w(5). Suppose 4*c - 47 = 2*j + 3, 5 = m*c + 5*j. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqq when four letters picked without replacement from {q: 7, u: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -3) + 534 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5350004, -21400088, -48150220, -85600394, -133750604, -192600844, -262151108?\nAnswer: -342401390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003374596449 to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwwlllcfwlwwllclllc. Give prob of sequence fw.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -15160, 1 in decreasing order.\nAnswer: 6, 5, 1, -15160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzoaooozozaoz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56115 and 4515?\nAnswer: 392805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.26465 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -789 - -656.8. What is n rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 850*r - 973. What is the least common multiple of 7 and m(10)?\nAnswer: 52689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 48*y - 4944 = 224*y - 0*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2320*x**2 - 2421*x**2 + 5021*x**2 - 6816*x wrt x?\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 59*w + 7. Let g(l) = -37*l + 3. Let n(y) = 36*y - 2. Let j(r) = 6*g(r) + 7*n(r). Let t(m) = -7*j(m) + 4*p(m). Let x(h) = -2*h. Calculate t(x(k)).\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*4\/(-14) + (-144)\/(-252). Let u(t) = -3*t - 5. Let a be u(-5). Solve -3*c + v = c + 4*q, q - a = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 106*k**2 + 10*k + 26. Let u = 545 + -548. Is h(u) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.804 rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 11. Let m be 1*-8 - 18\/(-6). Let g = m + k. Which is the nearest to -0.2? (a) -4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a7 + 35a?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -124. Suppose -k*p = -w + 16, 4*p = -0*p - 8. Is (-1)\/(w\/(-2210)) - (-4)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 471\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.97 and 843843871.\nAnswer: 843843880.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2 - 7*f - 12. Suppose 18*a = 20*a - 12. What is the units digit of n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 + 34*p**3 + 0*p**3.\nAnswer: 29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 2*a - 13*a + 65 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 2)*(8*x**4 + 31*x**4 + 2*x**4).\nAnswer: -328*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 6*l + 7. Let j = 9 - 4. Let k be a(j). What is the third derivative of 3*s**3 - 3*s**3 - 2*s**k + s**4 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462477.\nAnswer: 3, 154159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 294245 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22834, 45585, 68186, 90565, 112650?\nAnswer: 134369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 204*v + 200*v - 24 = 0, 33 = -4*r - 5*v. Put r, -1\/7, -1\/4 in decreasing order.\nAnswer: -1\/7, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, -4, -59 in ascending order.\nAnswer: -59, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 9.3. Let f = v + -12. Which is the nearest to 0.1? (a) f (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 3*m - 4. Calculate h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1609*n**2 + 3109*n + 1. Give v(2).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*v**3 + 2*d**2*v - 124*d**2 + 52851*v**3 - 24*v**2 wrt v?\nAnswer: -12*d**2 + 317106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000194113 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -77376?\nAnswer: -77373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 11*x - 392. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2827, 22954, 77883, 185110, 362131, 626442, 995539, 1486918?\nAnswer: 2118075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h\/(h**(-2\/13)*h))*h))\/h)\/(h\/(h**5\/h)*h*h))**(-11)*(h**(2\/7))**(-3)\/(h*h**(4\/5)*h\/(h*h**0)) assuming h is positive.\nAnswer: h**(-1979\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 1. Let c be g(1). Let w = 27 + c. What is the highest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142157261?\nAnswer: 79, 233, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 2*t - 22, -4*w - 5*t = 1. Let a be 8\/3 - 4\/w. Solve -4 = -f + a*m - 1, m = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68.88846 millennia?\nAnswer: 826661.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**3 - 26*j**3 - 10553*j**2 - 10549*j**2 - 10576*j**2 - 10560*j**2 + 42236*j**2.\nAnswer: -62*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157597*p**2 + 157458*p**2 - 315829*p**2.\nAnswer: -774*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*1\/(-3 - 0). Suppose -q*j + 69 = -19. Suppose -i = -3*i + j. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -336 and 0.2?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*v**3 - 1\/6*v + 2\/3*v**2 - 1.\nAnswer: -(v - 3)*(v - 2)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-126) - 138\/(-126).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8790, 36305, 82542, 147501, 231182, 333585, 454710?\n\"Answer: 9361*k**2 - 568*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*h**2 + 6 + 1537*h**3 - 3 - 1541*h**3 in the form u + c*h**3 + f*h + b*h**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004396691077 to seven dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -612404*u + 611623*u + 82005 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-378)\/(-1260))\/(1*3\/(-5))*(-66)\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-22)\/(-286) + (-24)\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -37 (c) 3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/(-430))\/(14\/20) + 7452\/(-4830).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 4*b**3 - 4*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 13*a**2 - 15*a + 18. Calculate l(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13656285 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -5. Let l(c) = -5 + c**3 - 723*c + 0*c**2 + c**2 - 6 + 0 + 721*c. Let i(a) = 5*a**3 + 4*a**2 - 9*a - 59. Let q(w) = -2*i(w) + 11*l(w). Give q(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*(-5 + 2\/(-4)*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p - 59. Let q be z(-4). What is the biggest value in q, 1\/6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 times -225240\nAnswer: 79284480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*j - 16 = 545*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + m + m = 35, 46*m - 13 = 87*m - 42*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*g - 36*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 + -253.99999629. Round q to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 13 = -2*m, 0 = -5*m + 3*f + 7 + 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497900 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4 + 6. Let x(u) = 33*u**2 - u - 2. Let p be x(b). Round p to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ba5 + 6?\nAnswer: -b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3))**(-30)*u\/u**6*(u\/(u\/(u*(u\/(u\/(u\/(u*u**(1\/4)*u))))\/u)))\/u)**(-18\/7) assuming u is positive.\nAnswer: u**(-1899\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 652966187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t - 35. Determine a(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*n - 227 - 32 - 26. Let u be ((-783)\/(-30))\/((-1)\/6). Let o = u - -153. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 - -209. Suppose c = 158*s - 153*s - 170. What is the remainder when 338 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 419240274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 82*a + 14 = 2*b, 0 = 21*a - 4*b + 232 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 2688, 9138, 21676, 42330, 73128?\nAnswer: 116098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/25 (b) -2\/39 (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281 - -283. Solve -w = -5*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 10 + -4)*1\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - (-2 + 12\/9). Suppose -2*t + 98 = 2*s, t + 57 = s - q*t. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - q. Let w(f) = -f**3 - 2*f**2 + 4*f + 4. Suppose -2*t = -3*t + 5. Let o be (-5)\/25 + (-14)\/t. Let k be w(o). Give m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 14*i**2 + 11*i + i**3 - 9*i to f*i**2 + t + d*i**3 + c*i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 7. Let f be v(-1). Suppose c + 0*t = 2*t - f, 0 = c - 5*t + 15. Suppose 3*j + 844 = x, -2*x - c*j = 2*x - 3291. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6\/17*y**2 + 0 - 10\/17*y**3 + 4\/17*y = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21798885501 + -69\nAnswer: 21798885432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35123, 35120, 35115, 35108, 35099, 35088?\nAnswer: 35075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15*h**2 + 10*h. Let t(z) = -31*z**2 - 20*z. Let g(v) = -9*f(v) - 4*t(v). Find the second derivative of g(u) wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73289.4 + -30.\nAnswer: -73319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a + 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058924433?\nAnswer: 3, 7, 337, 149629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227902 (base 12) to base 7.\nAnswer: 4460606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 141 - s**2 + 58)*(-9 + 13 - 5) as u + f*s**2 + p*s and give u.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2*k + k)*(2 + 3 - 7) + (-2*k - 2*k + 2*k)*(4 - 4 - 2) as d*k + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/2*s**4 - 7\/5*s**3 - 9\/5*s**2 + 6*s - 3 - 3\/50*s**5. Factor n(b).\nAnswer: -6*(b + 1)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 0. Let s = 9.0000012 - h. Round s to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*l = 12, 163*l - 79*l + 20 = -4*o + 80*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -30*z - 180. Let r(n) = 12*n + 91. Give 3*g(s) + 7*r(s).\nAnswer: -6*s + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3421293.709 and -0.1.\nAnswer: -3421293.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48502, 96756, 144770, 192538, 240054, 287312, 334306?\nAnswer: 381030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 12*n**2 - 16*n + 4. List the prime factors of d(-13).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4867111*r**2 + r + 306266 wrt r?\nAnswer: 9734222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99346982 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.1, 2219, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/4))**(-19)\/(t**(-1))**(2\/23) assuming t is positive.\nAnswer: t**(3067\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 45 = -17*a + 4*v - 11, -22 = -4*a + 10*v for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 52 = f - 3*p, 5*f - 4*p = 56. Suppose 0 = 11*c - 16*c - 680. Let j = -116 - c. Calculate the greatest common divisor of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 6. Let d(t) = 1. Let a(w) = 4*d(w) - j(w). Let s be a(-5). Suppose 0 - 6\/7*n**s + 0*n**2 + 2\/7*n**4 + 8\/7*n = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpzzz. Give prob of sequence pj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1002445 (base 6) to base 16\nAnswer: b89d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -30 in decreasing order.\nAnswer: 4, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*z**5 + 2580*z**2 - z - 50954 wrt z?\nAnswer: -480*z**3 + 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 8:08 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p - 4*a = 136, -4*p = -a - 164. Suppose -1402*k = -1422*k + 1100. What is the smallest common multiple of k and p?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c1033 (base 15) in base 4?\nAnswer: -20013330021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/4 (b) 2 (c) -2\/19 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 335, 334, 333, 332?\n\"Answer: -t + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -567 - 2021?\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from llptppplpll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 13785*x + 1018440.\nAnswer: -5*(x - 72)*(x + 2829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103089 + 103098. Let i be 1\/(-3) - (-61)\/3. Solve -4*o + j*o = -i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 2\/9, -2\/5, 3\/659, -213, -5?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let n be k(5). Suppose -6 = -n*u - 1. What is the closest to u in 0.5, -5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 2387775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -7 (c) 123747 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/7)\/(((-125)\/5)\/(-125)))\/((-40)\/(-336)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krvv when four letters picked without replacement from {v: 3, k: 11, r: 1}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -208 (b) 2 (c) 1\/6 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/111 or 0?\nAnswer: -11\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -33. Suppose -3*m + 347 + 6 = d*j, 4*m - 470 = -3*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/11, -1\/8, 14, 0, 16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20a3 (base 14) to base 4\nAnswer: 1113333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (16 - -6)) + (-7 - 0 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/120 - c**5\/60 - c**4\/12 - 4*c**3\/3 + 7*c**2. Let z be i(-2). Solve 0 = -z*r + 5*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232278763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 208*g - 1298. What is r(6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1345*r - 40. Calculate the remainder when a(2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -287385 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 18*m**3 - 33*m**2 + 180*m + 300.\nAnswer: 3*(m - 5)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 243 + 39*q - 243 + (2 + 2 - 3)*(-2*q + q - q) + (q + 2 - 2)*(3 - 2 - 3)*(-2 - 1 + 2 + (5 - 3 - 1)*(-1 + 5 - 6) + 0 - 1 + 0).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-15)*(-3)\/(-5). Let o(c) = 7*c**2 - 160*c - 160. Let n be o(-1). Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/14*(-1 + 5). Let w = q - 0. What is the third derivative of -10*k**3 - 9*k**3 + 4*k**3 - 3*k**w + k**2 wrt k?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16073819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(66)\/(3*sqrt(48)\/sqrt(8)) + -2.\nAnswer: -2 + 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 8)*(335*d**3 + 344*d**3 + 476*d**3) to the form i*d**3 + b + w*d + y*d**2 and give i.\nAnswer: 5775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/70224 and 133\/67056.\nAnswer: 8918448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4 - 51*z**3 - 237*z**2 - 309*z - 126 = 0.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*l + 2930 = 496*l - 2150 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = u. Let w(x) = -u - 8*x + 8 + 0*x**2 + 5 - x**2. What is w(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13325857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/5, -2.241, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n)**(2\/13)\/(n**(-13\/3)*n**15*n*n) assuming n is positive.\nAnswer: n**(-530\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3092, -4197, -5228, -6185?\nAnswer: -7068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s - 5 = -3*p, 4 = s - 2*p. Suppose 2*w = -s + 2. Solve 0 = -j - 5, w*l + 2*l + 2*j + 8 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30535 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3921.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 4:25 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 163*a**2 - 1. Let g(l) = 8*l - 3. Determine g(f(w)).\nAnswer: 1304*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -28. Let i = j + 41. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 5550556?\nAnswer: 88808896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 1. Let w be k(-1). Let q(d) = -2*d + 13. Let o(i) = -i + 7. Let x(h) = -11*o(h) + 6*q(h). Calculate the smallest common multiple of x(w) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(539) + sqrt(539) + 2*sqrt(539) + -3)*3)**2)*3.\nAnswer: -18144*sqrt(11) + 932340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18004120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 7*y - 2*y)*(19 + 15*y - 19)*(-63 + 5 + 3) + 0*y**2 + y**2 + y**2 + (-4*y + 2*y - 3*y)*(2*y - y + y).\nAnswer: -1658*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68.3, -0.07, 3, 29, -5.\nAnswer: -68.3, -5, -0.07, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 12*4\/6) + 4. Suppose p = -2*x - 1018 + 9224. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236861?\nAnswer: 3, 53, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - -69. Let r = -344.2 + v. Let k = 39 + r. What is k rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 4 - 1) + 21\/(-20). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 41. Let g = a - 54. What is the closest to 3\/7 in -2, g, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/15))\/(h\/(h\/h**(-1\/8)))*(h*h*h*h**(2\/7)*h)**(-18) assuming h is positive.\nAnswer: h**(-63743\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265764 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 12230?\nAnswer: 12313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -26*h**2\/15 + 52012*h\/15 + 953056\/5 = 0.\nAnswer: -696\/13, 2054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1469895 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*-2 - sqrt(4)) + -1 + 4*sqrt(19) + sqrt(19) + -1.\nAnswer: -2 + 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z. Let u(r) = -8*r. Let a(x) = -2*x. Let p = -45 + 43. Let l(s) = p*u(s) + 9*a(s). What is l(k(h))?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.03. Let u be -18 - (-17)\/((-1360)\/(-1472)). What is the closest to 3 in -4, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:00 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 5\/8, -274.6, -0.5 in descending order.\nAnswer: 5\/8, -2\/5, -0.5, -274.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15882, -31762, -47642, -63522, -79402, -95282?\n\"Answer: -15880*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. Suppose k - 4*w - 293 = 0, x = -3*k + w + 348 + 531. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -1413?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 17*o**2 + 29*o + 3. What is the tens digit of c(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 127, 149, 119, 19, -169, -463, -881?\n\"Answer: -3*q**3 + q**2 + 74*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, d: 1}. Give prob of sequence dl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*s**2)*(-30*s**2 + 42*s**2 - 15*s + 7 - 4).\nAnswer: -36*s**4 + 45*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k - 9*k + 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2\/2 - 110707625*j - 2451235646628125\/2 = 0. What is j?\nAnswer: -22141525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let h = -281 - -281. Let v(s) be the second derivative of s + h*s**2 - 7\/6*s**3 + 0. Determine v(i(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -565199*s. Let x(i) = 10*i**2 - 12. Determine u(x(m)).\nAnswer: -5651990*m**2 + 6782388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 - 24. Let c(w) = 7*w**2 - 15. Let t(g) = 8*c(g) - 5*u(g). Let n(j) = -50*j**2. Give t(n(v)).\nAnswer: 15000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = 4*p - 79, 3*d = -3*p + 48. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 37*r - 16*r.\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-1*sqrt(729))*5 + ((sqrt(3) + sqrt(6)\/sqrt(2))*4)**2*-2*4.\nAnswer: -1536 - 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/45*-3*-65. Let i = -54 + c. Let y be (-2)\/(-3)*(-126)\/i. Solve -z = -4*m - 11, 5 = -y*m - 5*z - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*q = -41, 3*s - 8*s - 4*q = -137. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = z + 1, -z = z + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-30)\/600). Let q(s) = 3*s**2 - 4*s + 1. Let v be q(3). Suppose 0 = -4*l - g - 45, -g - 1 + v = -2*l. Does l = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Let p(a) = -3*a + f*a - 2*a. Let r(m) be the second derivative of -m**3\/2 - 85*m. Determine p(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-180) + 3*(-4)\/(-90)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -1021000110121010?\nAnswer: 1021000110121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211253166593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240 and 1260?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*v + v - 85, 3*v = 5*y + 104. Let m = 265 - 106. Calculate the remainder when m is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-1)))**(-3\/5)*((f*f**(-9))\/f)\/(f**(1\/19)\/f*f) assuming f is positive.\nAnswer: f**(-974\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6000 + 0)\/(7\/(-26250)). What is d rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 645\/19 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02349 + -1526.6.\nAnswer: -1526.57651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r*r**(-3\/7))))*r*((r\/(r\/((r*r**(3\/2)*r*r)\/r)))\/r)\/r)\/(r\/r**4*(r*r**(3\/7)*r*r)\/r*r*r*r*r*r))**(-44))**(-2\/65) assuming r is positive.\nAnswer: r**(-132\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -5. Suppose s - 3*q + 39 = 0, -99*s + 103*s - 5*q + 170 = 0. Let n = d + s. Is -28 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 4. Suppose -3*x - s = -16, -5*x = -2*x + 4*s - 28. Let l be 223\/4 - (-1)\/x. Calculate the greatest common factor of f and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -179*o - 33. Is b(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 0.06, 1, -7 in ascending order.\nAnswer: -7, -5\/9, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u - 5. Let n be z(4). Suppose -v + n*v = 0. Solve v = 5*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158741148 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27222, 108846, 244874, 435306, 680142, 979382?\n\"Answer: 27202*t**2 + 18*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -61*1\/3*6. Let o = -3 - u. Suppose -2*h - 5 + 39 = 0. Calculate the greatest common factor of o and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6004*m**5*t + m**3*t + 1133*m + 15*t wrt m?\nAnswer: 120080*m**3*t + 6*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-360)*-12*5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let s = 5 - 6. Let x be (l\/6)\/(s\/3). Is -2 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5967957 is divided by 328.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 17*b - 3. Let d be i(6). Suppose -28 = -x + 5*h, x - 37 = -0*x - 4*h. Calculate the greatest common divisor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 19076.\nAnswer: 1\/19076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.226 - 9.8301. Let s = -9.4 + v. What is s rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -12131?\nAnswer: -12140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 70.32106g?\nAnswer: 70321060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 241*b**2 - 5. Let q(r) = -248*r**2 + 4. Determine 4*p(c) + 5*q(c).\nAnswer: -276*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339.08 + -342. Let f = 3.02 + i. Is f greater than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + -77. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -83285*w - 10660488. Determine d(-128).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfo. What is prob of picking 2 f and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-22.8.\nAnswer: 3.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 82 + 128 - 203.\nAnswer: 4*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/462 + 1\/6. Let h(q) be the first derivative of 2\/35*q**5 - x*q**6 + 1\/14*q**4 - 2\/21*q**3 + 0*q + 7 + 0*q**2. Factor h(t).\nAnswer: -2*t**2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/60 + i**4\/4 + i**3\/6 + 60*i**2. What is r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 38*k - 21 - 36)*((-2 - 2 + 5)*(3*k + 2*k - 4*k) + k + 5*k + 4*k) to y*k**2 + s + t*k and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1809740*y - 529*y**2 - 687*y**2 - 1809740*y + 1812*y**3 wrt y.\nAnswer: 10872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-7) - ((-1)\/(-3) - (-24)\/(-18))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106456 and 2009357?\nAnswer: 16074856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 84*z**2 + 1063*z + 19. Calculate a(-13).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + 4*(-1 + sqrt(1584) - sqrt(1584)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, m: 2, q: 5}. Give prob of sequence kqk.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = 125. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -282, -390, -520, -678, -870, -1102?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1 = 13. Is -28\/11 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.93695 rounded to 1 decimal place?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*a**4 - 2 + 5*a**2 - a**4 + a**3 in the form j*a**2 + f + v*a**3 + k*a + p*a**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/((-1)\/1). Let v be (k - 2)*2 + 2. Solve j - 3*j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxnhox. Give prob of picking 1 x, 1 h, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Let k be (-28)\/(-18) + 2\/(-9). Which is the biggest value? (a) n (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2. Let s(n) = -279*n**2 + 37*n**2 - 1 + 1 + 0. Give l(s(p)).\nAnswer: 409948*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 - 43*z + 44*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 6*y - 3*y)*(-20*y + 16*y - 169*y).\nAnswer: -346*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -3\/4 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:32 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129, -264, -395, -522?\n\"Answer: 2*q**2 - 141*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 867.8626 years?\nAnswer: 86.78626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 11*g + 20. Let c be ((-10)\/3)\/(g\/105). Suppose d + 49 - c = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67943 is divided by 33961?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 6. Suppose 6 = -5*o - 14. Let l be w(o). Let n = -3 + l. What is the smallest value in 0.4, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 31800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 292, 94, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-4\/9)\/m)\/(m\/(m\/((m\/(m\/(m*((m*m*m**(2\/3))\/m)\/m)*m))\/m*m*m*m))))**45)**(2\/13))**(-8) assuming m is positive.\nAnswer: m**(2960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/322 - (-4)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/2, 0.013, -26?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167.076 - 167. Let k = i + -0.076. Let f = 0 + -0.4. Which is the nearest to k? (a) 4 (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - (-16 - (4 - 60) - 4)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39655 and 87828615.\nAnswer: 3605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4275*j**2 - 4*j + 4. Let y(z) = 235144*z**2 - 221*z + 221. What is -221*a(t) + 4*y(t)?\nAnswer: -4199*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 454 divided by -316289\nAnswer: -454\/316289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16079 is divided by 111?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*g + 1325 = 0, -g - 432 = -2*u + 99. Let m be ((-534)\/u + 2)\/(22\/(-88)). Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 451, 721, 993, 1267, 1543?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*r - 25. Let k = -15 + 43. Calculate the highest common divisor of r and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/2 of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 19, -4\/9 in descending order.\nAnswer: 19, -4\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -4.1. Let k = q - -8. Let y = 12.0012 - k. What is y rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7945 divided by 7?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 - (7 - (-1 - 8)). Which is smaller: l or -16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*p = -8 + 10, -3*p = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 12*u. Let o(l) = -2*l**2. Determine o(i(d)).\nAnswer: -2*d**4 + 48*d**3 - 288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-28) + 60\/42. Solve -o + 4*g - 12 = 0, -g + 25 = -d*o + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5*1\/50*4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 14. Let i = a + 39. Let y be (18 - 6)*3\/(-2) + i. Is -19 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 62844.\nAnswer: -1\/62844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1.53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - 13224\/290)\/3?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 11662673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -15.9. Let i = -59 + 175\/3. Let j = -8.73711 - -8.73711. Which is the closest to -1? (a) n (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111010 (base 2) in base 14?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a. Let c(u) = 8*u**2 + 4*u. Determine g(c(x)).\nAnswer: 104*x**2 + 52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139799 or 139748?\nAnswer: 139748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 171 = 4*x + 67, -4*x = 5*y - 127. What is the remainder when y is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 3*p + 4. Let m(a) = a + 1. Suppose 0 = -2*g + 2*i + 4, 2*g + 0 - 7 = 3*i. Give g*q(h) + 3*m(h).\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*p - 3, 9 = -33*t + 30*t - 3*p. Let a(y) be the third derivative of -7*y**6\/60 - y**5\/60 - y**4\/24 - y**3\/6 - 2*y**2. Give a(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**3 - 1 - s + 3 + 0 + 0*s to the form k + h*s**3 + d*s + o*s**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 484 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 1. Let y be f(-6). Let p = -22.966 - -20.966. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*q**2 + 41454 - 41454 as h*q + y*q**2 + l and give y.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0129382415 rounded to 6 dps?\nAnswer: -0.012938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 122146089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -3646?\nAnswer: -3281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -31*j**4\/12 - 2*j**3 - 88*j**2. Let z(x) = -25*x - 5. What is 5*q(r) - 12*z(r)?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138, -766, -2464, -5766, -11206, -19318, -30636, -45694?\n\"Answer: -89*c**3 - c**2 - 2*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*l - 31*l - 130*l - 138*l.\nAnswer: -225*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20856744241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-45) - 6\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 + -35. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123544 (base 7) to base 2.\nAnswer: -111111000010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1890.8 + -1891. Which is the third smallest value? (a) 2\/9 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*((u*u**(-12)*u*u)\/u*u*u)\/u)\/(u**(-13)*u\/u**(-5\/6)) assuming u is positive.\nAnswer: u**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161405057.\nAnswer: 11, 19, 772273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 458\/35 + -64\/5. Let h be (-11)\/154*(-5 - -1). What is t in 0 + 0*t - j*t**2 - h*t**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2337*y**2 - 468*y + 78. Let d(z) = -123*z**2 - 24*z + 4. Let m(j) = 117*d(j) - 6*v(j). Let b(l) = 2*l. Calculate m(b(x)).\nAnswer: -1476*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24296*x**3 - 8835*x**2 + 2*x + 1 wrt x.\nAnswer: 145776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2957099 (b) -2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 144*c + 206. Calculate w(-81).\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(27)*2 - sqrt(3)) + 1.\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017588572*t - 1017588572*t - 85*t**3.\nAnswer: -85*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 39046276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhzm when four letters picked without replacement from jjjjjjzjzbzjjhjhjumh?\nAnswer: 11\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 0*g + 0*g)*(6*g**2 - 7*g**2 - 3*g**2) + (4 - 4 + 4*g**3)*(-1 + 1 + 2*g) to z*g**4 + t*g**3 + h + f*g**2 + y*g and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111110100011001111111?\nAnswer: 111110100011001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -207*x**2 - 3*x + 6. Let s(g) = 23182*g**2 + 335*g - 670. Let k(q) = 335*h(q) + 3*s(q). Let a(y) = -5*y**2. Give k(a(n)).\nAnswer: 5025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**3*w**2 + 27*v**3*w + 2*v**3 + 53*v**2*w**2 + 2*v**2*w + 3*w**2 + 2*w wrt v?\nAnswer: 6*w**2 + 162*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 660\/25 - 4\/10. Suppose 2*s + 2*c = 32, s = -0*s + c + l. What is the highest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.7467662us to hours.\nAnswer: 0.0000000021518795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 6. Calculate m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24141 + -24140.9997961. What is w rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*j + 1017 - 1019 = 0, -4*q - 13 = -j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1642*((-3)\/(-2) - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 1. Let r(d) be the first derivative of d**4\/4 - 4*d**3\/3 - 5*d**2 - 8*d + 1. What is the remainder when h is divided by r(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 2*z. Suppose -6 = -4*o + 2. What are the prime factors of x(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and 61?\nAnswer: -2.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1075, -1074, -1073?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3519.012635 - -3519. What is n rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2\/11)))\/w)**(2\/7) assuming w is positive.\nAnswer: w**(-18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11 - z + 4*z - 3*z**2 + 3*z + 3*z. Let g(y) = y**2 - 4*y - 5. Let t(f) = 9*g(f) + 4*q(f). What is the first derivative of t(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2846 and -17\/274.\nAnswer: 389902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 25. Solve 3\/2*q**2 - 3\/2*q**4 + v*q**3 + 0*q + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1697 = -4*c, -c - 5*l - 69 + 498 = 0. Let j = -1535 - -1537. Suppose 4*x - 1193 = j*o - 345, -2*x - 4*o = -c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/(135\/(-432))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 4*o. Let r be ((o + -4)\/4)\/(-1). Solve -r = -4*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269552731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88179 and 25194?\nAnswer: 176358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16272758 divided by -13187?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 169 and 168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232570 by -4.\nAnswer: 116285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h*i**3*k - 827*h*i + 10*i**3*k + i*k wrt i?\nAnswer: 174*h*i*k + 60*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose 0 = 5*m - 3*m - 5*k - 19, m - 5 = k. Calculate the remainder when (6\/a)\/(10\/20) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2270965 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - 2*r**3 + 3*r**2 - r**2 + r**3 to u*r + x*r**3 + a + i*r**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11618694 + -13851306. What is y rounded to the nearest one hundred thousand?\nAnswer: -25500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 2*r + 10. Suppose -6*n - 3*p = -2*n, 0 = -3*n - p - 5. Let m be c(n). Let f = m - -6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 440, 822, 1112, 1280, 1296, 1130?\n\"Answer: -5*m**3 - 16*m**2 + 465*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-7) - 3*45\/756.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:22 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 - 11*i - 7. Let s be k(-8). Let l = -624 + 879. Suppose 21*j = 24*j - l. What is the highest common divisor of s and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*q*u + 4*h*q + 20*h - 2905*q*u wrt h?\nAnswer: -q*u + 4*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188 + 669 + 106)*(4 - 4 - 3*c**2)*(-5*c**3 + 12*c**3 + 4*c**3) + c**5 + 3*c**5 - 5*c**5.\nAnswer: -19372*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + a**2)*(41783 + 41768 - 83551 + 5513*a).\nAnswer: -5513*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219812.\nAnswer: 2, 179, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**3 - 6680*f**2*n + 464517*f*n - 1 wrt f?\nAnswer: 114*f - 13360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 13*g**2 + 4*g - 21. Let i be q(-7). Suppose -z = -5 - 1. Suppose z*n - 2*n - 20 = i. Solve -n*f = -4*w - 24, -3*w - 11 = -0*f - 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.37 + -262592395.\nAnswer: -262592392.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79785*o + 372485 wrt o.\nAnswer: 79785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 141\/5. Sort m, -2\/7, 0 in ascending order.\nAnswer: m, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z - 18. List the prime factors of g(36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - 38. Let f be ((-5)\/2)\/((-15)\/z). Let b(r) = -f*r + 6*r + 2*r - 1. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - b8404?\nAnswer: -b83f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 2. Let a(m) = -3 + 8*m + m - 5*m. Let z(g) = 2*a(g) + 3*p(g). Let x(n) = n. Give z(x(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11) + -3)*2.\nAnswer: -16 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvbv when four letters picked without replacement from vvavallvavbaval?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnn when four letters picked without replacement from {n: 4, c: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-6) - 3\/18. Let k be c + (-3)\/((-6)\/4). Suppose -3*g - 24 = -2*x, k*x - 13 - 21 = 5*g. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2 (b) 187819 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 270.4. Let d = 4.1 + -4. Which is the nearest to d? (a) p (b) -1\/4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 6*o + 4. Suppose -4*h = 29 - 5. List the prime factors of s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.255 + 2.745. Is n greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(2 - 1)*1. Let y = t + -7. Solve 0 = -a + y - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 2086119 - 744018 = 54*j. List the prime factors of j.\nAnswer: 3, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a microgram in nanograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-52)\/(-8))\/(-13))\/((-1)\/14). Suppose -9*v - 5*v**3 - 13*v**2 - 29*v - 10 - z*v**2 + 13*v = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110110 (base 2) in base 11?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 16029.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8 + 4.7. Which is the closest to 2? (a) -4 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/571 - 5152\/7423. Let n = -783\/362 - -301\/181. What is the biggest value in 5, n, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 72. Let n be -13*13\/(-169)*-1. What is the hundreds digit of (69\/l - (n - 3))*205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/5 + 1\/5. Let v(f) = s*f + 3 - 3 - 2. Let z(k) = k + 8. Let d be z(-6). What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6385 and 1.\nAnswer: 6385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 60. Let x = a - 44. Let i = x + 169. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**22*m**(5\/8) assuming m is positive.\nAnswer: m**(181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20001 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 4, g: 6}. Give prob of sequence ogg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 7. Let f(n) = 114 + n**2 + 137 + n - 365 + 108. Let h(w) = 3*w**2 + 2*w - 11. Determine o*f(t) - 6*h(t).\nAnswer: -7*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29509 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 7. Let m = 0.09 - -0.91. Let q = -1.4 + m. Which is the second smallest value? (a) d (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*o + 140, -230 = -4*o + 2*b - 0*b. Let q = -45 + o. Suppose 5*g = -4*r - 6 + 33, -q = -5*r. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4004?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1, n: 1, k: 1, b: 2, c: 2}. What is prob of picking 1 k and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1471*h**2 + 2*h - 2*h - 44*h**2 - 760*h**2 in the form f*h**2 + j + r*h and give f.\nAnswer: -2275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160875 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u = 34*u - 15. Let m(i) = 4*i**3 + 35*i**2 + 117*i + 101. Let c(y) = y**2 - y - 1. Let n(l) = u*c(l) - m(l). Determine r, given that n(r) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -20, -1.4, 0.0893?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*c - 545*c = 38404 + 25648 - 20564 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -36. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*w. Let -2*s - 2*s**3 + w*s**3 + s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3630)\/3993)\/((-12)\/22))\/((-10)\/(-144))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17290 and 8793865?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041118 to seven decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13744632?\nAnswer: 2, 3, 11, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/4 - 35*x**2\/4 + 72*x + 81 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/47? (a) 0 (b) -7 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7 (b) 13 (c) -20 (d) 5 (e) -2679 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -3420415?\nAnswer: -3420411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + 38*z - 192. Calculate y(8).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 + 7. Let i(n) = 2*n**2 - 43*n + 2*n - 14*n**2 + 41*n. Determine w(i(j)).\nAnswer: -864*j**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.27922155 and -1572?\nAnswer: 1572.27922155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19838 is divided by 822?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 - 10 - -6) + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7 + 1. Suppose -10 = -2*x - 2*x - 5*k, 5*x + 5*k = 15. Let j be -3 + x*24\/20. Solve -j*l + 2*q - 4 = -18, -q + 11 = n*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 8350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 5*-1 + 0. Suppose 0 = -c + 2*c - 23. Suppose c = -2*q + 5*f, q + 2*f + 14 = 5*f. Sort 3, q, v in descending order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:28 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*t - 84 = 3, 58 = -2*y - 5*t. What is the common denominator of 27 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 1, -0.436, 3, 2\/29.\nAnswer: -4, -0.436, 2\/29, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306039, -306037, -306035, -306033, -306031?\nAnswer: -306029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 + 58*z**2 - 646*z + 4575. Calculate v(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose r = -x + 10. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693196, 693702, 694208, 694714, 695220?\nAnswer: 695726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*q**3 - 890*q**2 + 890*q**2 + (2 - 2 - 2*q)*(-2*q**2 - 2*q**2 + 5*q**2) + (13 - 8 - 4)*(-4*q - q + 3*q)*(1 - 2*q**2 - 1).\nAnswer: -143*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 6. Let a be d(-5). Let o(p) = -9 - 13 - 7 + 30 + p. Let k be o(a). Solve 6 = k*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416 by 2.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 3*j**2 - j. Suppose 6*k - 5 = k. Let u = 3 - k. What is the units digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143\/9 + 16. Sort 1, u, -2\/59 in increasing order.\nAnswer: -2\/59, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*g**2 + 25*g**2 - 12*g**2 + 20*g**2 as w*g**2 + b*g + l and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -249, -1\/3, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8887 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*k = 2, 3*k = -u - 4 - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1587, 1588, 1589, 1590, 1591?\n\"Answer: n + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83611 is divided by 8360?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -42*r + 257. Let b be j(6). Let a be 24\/6 - (-2 + 3). Solve a*d - b - 7 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*t + 76 + 160, 378 = 5*f + t. Suppose 42 - 26 = 3*m - 5*l, -m = -2*l - 5. Calculate the remainder when f is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/78319412?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*c - 15 = 0, -2*s = -s - 3*c - 15. Suppose 4*w = w. Let z = w + 3. Solve -z*l + 0*l + s = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(14382\/1692)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Find the second derivative of -q - 6*q**4 - 7*q - u*q**4 - 2*q**4 wrt q.\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176188504 divided by 3\nAnswer: 176188504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -284668692 to the nearest ten thousand.\nAnswer: -284670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/2730*56*6\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/8))\/((x\/(x\/(x\/x**(-6)))*x)\/x))\/(x\/(x**(-1\/3)\/x))**20 assuming x is positive.\nAnswer: x**(-1273\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5031901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1923675 - -1923682.999855. Let u = p + -8. What is u rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73 (b) 4 (c) -0.06 (d) -4 (e) 2 (f) -1\/7 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -159, -154?\n\"Answer: 5*k - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5521, -16, -5?\nAnswer: -5521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 74*r - 288. Determine a(6).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115415920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-269)\/(-11) + (-3705)\/8151.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:33 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/4663749 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.028014 centuries to decades.\nAnswer: 50.28014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxup. What is prob of sequence up?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from -252.64.\nAnswer: -232.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1375248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 0 + 1 + 2*p. Let i(m) = m**3 + 2*m**2 - 2*m. Let v be i(-2). Let u be s(v). What is the second biggest value in -1\/3, 1\/6, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 28, 64, 114?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41617 + -21614. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-7))\/(-3) + 1 + 1. Let n = -11 - -8. Let g = -3 - n. What is the nearest to g in -2\/11, r, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/105 - r**6\/15 - r**5\/6 + r**2 + 31*r + 11. Factor t(v).\nAnswer: 2*v**2*(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9672, -9671, -9670, -9669, -9668, -9667?\n\"Answer: a - 9673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)*12\/8. Solve 0 = 4*p + l - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p = 6*p - 330 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/(120\/(-327)). Let k = i - -9\/16. What is the biggest value in -3, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*i**5 + 87*i + 11*i**2 - 72*i - 2*i**4 + 2*i**2 wrt i?\nAnswer: 3840*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:52 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 5*b - 2*b**3 - 4*b**3 + b - 8*b**2 + 10*b**3.\nAnswer: 4*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 15*i + 9. Suppose -3\/2*r**i + 0*r + 0 + 3\/4*r**4 + 0*r**2 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 1280\nAnswer: -28160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20489.519*-1.\nAnswer: 20489.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070912?\nAnswer: 2, 3, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1)*(-7)\/(-7)*1. Let i be (-2)\/(-12) + -17 + 17. What is the closest to 1 in i, s, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 6*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48656572719 - -48656573233.911869424. Let p = d + -527.91187. Let c = p + 13. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0 (c) -3 (d) -4\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 85.51, 59, -3\/5, 0.5, 0.2, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 7 + 5 + z**3 + 2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 2*f**3 + f**3)*(76 - 129 + 91) - 7*f**3 + 3*f**3 + f**3.\nAnswer: -41*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/7))\/w)**(6\/11)*w**(-2)*w*w\/(w\/(w\/w**(-2\/5)))*(w**(-2\/13)\/(w*w**(-4)*w*w))**(-6\/13) assuming w is positive.\nAnswer: w**(10756\/65065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -2701?\nAnswer: -2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d0a (base 14) in base 13?\nAnswer: 254b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7943?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601.13 rounded to the nearest 10?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373 + -245 + -134 - ((-105 - 0) + 1).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 23991925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*f + 3*a, -45 = -5*f - 73*a + 77*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1628 + 1625 - 1433*p**2 - 3253.\nAnswer: -1433*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 1085?\nAnswer: -23\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipnippjjddppii. Give prob of picking 1 i, 1 n, and 1 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 1071*y + 13. What is w(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -19, -27, -35, -43?\n\"Answer: -8*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25601 + 1.21.\nAnswer: 25602.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 22*y**2 + 180*y - 1594. Let r be p(10). Solve 10*f + 7*u - 30 = 12*u, r = -2*f + 4*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26605 to three dps.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.025, 0.3, 5, 561, 19?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 + -129 + (1 - 4) - -40.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433 + -25549\/59. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48771, -97539, -146307, -195075, -243843?\nAnswer: -292611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -9*c - 134*s + 137*s - 7, -3*c - s + 11 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61271 + 19703 = -23*v + 29226. What is the highest common divisor of 114 and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 2, b: 1, d: 1, j: 2, c: 1}. Give prob of sequence nnd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*k - 311*k + 81*k + 13485 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 22 + 22 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + a + 8235 = x, 0 = a + 1. Let s = 2683 + x. Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 + 25*l**3\/6 - 2*l**2. Let h = 4040 + -4024. What is the remainder when 9 is divided by x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qozllvo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = l + 3*n, -l + 3*n - 36 = 0. Let g be 6\/l - 2\/(-9). Let y be -1*(4 + -1 - 1). Sort y, 1, g in descending order.\nAnswer: 1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5900031 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and -113\/15006.\nAnswer: 75030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i + 8 - 8*i + 3 - 16*i. Let w(u) = -16 + 4*u + 3*u + 9*u. Let a(x) = -7*f(x) - 5*w(x). Differentiate a(l) with respect to l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5 = 0, -23 = -3*y + 3*g - 53 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 - 6*x + 5. Let t be m(4). Let o(n) = 9*n**2 - 19*n + 8. Let r(w) = -4*w**2 + 9*w - 4. Let s(h) = t*o(h) - 7*r(h). Determine s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + 1. Let t be z(0). Let b(s) = s**2 - 10*s. Let q be b(10). Put -2, q, t in increasing order.\nAnswer: -2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15109622 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (0 - -25) - 4) + 0 + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-12)*(-7)\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 123 = -3*c + 438, 5*d - 555 = 5*c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91228 is divided by 105?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euteetttjumutetmeet. What is prob of sequence tmtu?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-11\/6))\/a*a**(-2\/41))\/(a**(1\/16)\/a)**(24\/5))**(-28) assuming a is positive.\nAnswer: a**(-21644\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkl. Give prob of picking 1 x and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 divided by 1?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155062*p + 70*p**2 - 155062*p.\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/6 + 2520*a**2 + 3. Let w(c) = 263*c + 1. Give n(w(s)).\nAnswer: 1052*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -84, -113, -142, -171?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 5. Let p = -31.9 - l. Which is smaller: p or 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 - (-1)\/15*21. Suppose -5*x = -5*p - 5, -3 = 2*x - 3*x + 3*p. Suppose 2*g = -4, x = -h*r + 5*g + 327 + 39. List the prime factors of r.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6047 (base 12) in base 6?\nAnswer: 120131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 29 = -5*p, -3*p + 19 = -2*g - 0*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582621701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-51)\/8*(-18)\/(-27). Suppose l + 7 = 12*y. Solve -4*o + y = -2*x, 1 - 6 = 5*x + 2*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812310*c**2*h - 12714*c*h - 1 wrt c.\nAnswer: -1624620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12100083637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3b65b (base 15) to base 11\nAnswer: -120094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Suppose -4 = 2*l - l, -10 = 5*w + o*l. Suppose 0 = f - 2 - w. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10607c (base 14) to base 2.\nAnswer: -10000111010110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 - 549 = 5*m. Suppose -4*i - m*t = -2516, 0*t + 4*t = 8. List the prime factors of i.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-3 - 3 + 10)*(-5 + 3 + 4)*(-12*f + 21 - 21).\nAnswer: 192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6499 (b) 0.2 (c) -0.3 (d) 2\/13 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 28*u**5 + 8*u**2 + 6*u + 19. Let f(d) = d**5 + d**2 + d + 1. Let o(i) = 6*f(i) - q(i). Find the third derivative of o(v) wrt v.\nAnswer: -1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*b + 55 + 61 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 2, 5, 654, -2 in decreasing order.\nAnswer: 654, 10, 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -195, 0.3, 0.14, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 + -126631\nAnswer: -126626.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1491*r**2*w - 5*r**2 - 267 wrt w.\nAnswer: -1491*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -249\/5. Let p = 2\/261463 + -16211372\/87067179. Let d = p + -4\/111. Which is the smallest value? (a) n (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3736*v - 672*v - 3*v + 931*v - 1894*v in the form s + u*v and give u.\nAnswer: -5374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (0 + 3 + -14 + 529 + -572).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20153 (base 6) to base 2.\nAnswer: -101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-112292162\nAnswer: 33687648.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.127 from 101.\nAnswer: 108.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/35 in -3, 54\/19, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6673246 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/5 + 124638*s\/5 - 1294552587\/5 = 0. Calculate s.\nAnswer: 20773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k. Let x(u) = -4068*u + 8125*u + 3 - 4021*u. What is g(x(n))?\nAnswer: -144*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -428609\/6169734 + 134\/3177. What is the common denominator of -13\/10 and z?\nAnswer: 9710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/8*(-16)\/10. What is the remainder when 9 is divided by (p + 0)*(1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9132878315.\nAnswer: 5, 11, 166052333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r - 2. Let g(y) = -1. Suppose 0 = 3*o - 6*o - 18. Let h(w) = o*g(w) - b(w). Differentiate h(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494\/117*198\/(-44)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hph when three letters picked without replacement from pphhi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -12. Let h = q - -7. Let d = -0.8 + -4.2. What is the second biggest value in 0.3, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.2 and 0.2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3754910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t. Suppose 5*x - 3*w - 44 = t, -4*w - 27 = -4*x + 13. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 3. Let v be r(-7). Let z be 0 + v\/(-2) - 12. Is (-36)\/z*5\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 1, r: 2, i: 1, y: 1, o: 1}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 177. Let t(o) = 4*o**2 - 1304*o. Give t(c(y)).\nAnswer: 4*y**2 + 112*y - 105492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 - 296*d**2 - 2052*d.\nAnswer: -40*d**3 - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 7*m - 7. Let c be u(5). Let q(o) = -3*o**2 + 5*o - 19. Let p(v) = -v**2 + 2*v - 6. Let x(y) = 7*p(y) - 2*q(y). Give x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1991087*z + 1991087*z - 3883*z**2.\nAnswer: -3883*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 8. Suppose 5*o - 13 - x = 0. Suppose -3*v - 5*l + 110 = 2*v, 2*v + o*l - 36 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2106.466 + 2110. Let y = 3.5 - o. Let z = y + -0.066. Are z and -0.99 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 47 (b) -3 (c) -5 (d) -0.4 (e) -4 (f) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -51. Let m(z) be the second derivative of -1\/3*z**3 - 5\/2*z**2 + 0 + 3*z. Give m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1415508 from -47754298.\nAnswer: -46338790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + -41. Let n = -62.9949 - a. What is n rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 2, r: 12, s: 1}. Give prob of picking 1 r, 1 s, and 1 o.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*d**4 + 720*d**4 - 7*d**4)*(-1 - d - d + 0*d).\nAnswer: -1692*d**5 - 846*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**6\/120 + n**5\/20 - n**4\/12 + n**3\/2 - n**2 - 11. Let y(m) be the second derivative of c(m). Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918342680 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10840, -43359, -97564, -173461, -271056, -390355, -531364, -694089?\nAnswer: -878536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. What is the nearest to -0.1 in o, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17369 by -11.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -79, 3, 31, 200, -3 in descending order.\nAnswer: 200, 31, 3, 2, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-105)\/(-39))\/(2\/14). Let x = k - 19. Let u = -33 + 33. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65.5 + -66. What is the nearest to 0.21 in 0.4, 1\/2, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 125. Let u be 2\/x - (-1260)\/75. Solve -2*t = -5*t + k + u, -5*t - 5*k = 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -3, 3, 1502, 5.\nAnswer: -250, -3, 3, 5, 1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1182.488 - 6.488. Are -4 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1884*q**5 + 314*q**3 - 58*q**2 - 1275848*q + 135?\nAnswer: 37680*q**3 + 1884*q - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*w + 12, -2946*h + 3*w = -2944*h - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 12 = 12*h. Let r(l) = 2*l - 12. Let f = -6 + 14. Let d be r(f). Is d at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-7))\/((-72)\/(-36))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 203.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 3. Let r be b(6). Suppose 2*j = -5*k + 3979, 1603 = -2*k + 4*k - r*j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 19*l - 83. What is b(8)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, n: 1, x: 3}. Give prob of picking 3 p and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - ((2 - -8) + -42)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412 and 82606.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8120*m**3 - 8119*m**3 - 8137*m**3 + 24371*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:14 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, -108, -9, 7 in ascending order.\nAnswer: -108, -9, -5, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let a be j(1). Find the common denominator of -3 + (-104)\/(-6) + a and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 + 1 + 3 - 1 - 1 to f + g*b**2 + n*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -392ee - 66?\nAnswer: -39354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3008, 9538, 19596, 33182?\nAnswer: 50296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 610177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 - 1824*m**2 + 16143*m + 17970 = 0?\nAnswer: -1, 10, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 67*d - 952. Suppose -3*y + 3*l - 6 = 0, -5*y + 5*l - 10 = l. What is the tens digit of (42\/4)\/(y\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207473*1.2\nAnswer: 248967.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12947561 and -0.5.\nAnswer: -6473780.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 6000 = -1546. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3267 = -473. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12837398.\nAnswer: 2, 7, 691, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4565256 (base 7) in base 14?\nAnswer: -10c09d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-423150)\/2338 + 199 - (17 + 1)?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -943, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1112842\/77 - -14452. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 1 + 3*g**3 - 4*g**3 + 0*g + g. Let s(z) = -z**2 + 5*z + 3. Let b be s(6). Let q = 5 + b. Give c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + p = 7, 5*p - 2*p = -5*l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -3 (b) -12 (c) 0.9 (d) 1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 + 611. Which is the nearest to -1\/4? (a) -2\/3 (b) -0.19 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113566357 a multiple of 4203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqiiqqqqiiqqqqi. What is prob of picking 1 q and 3 i?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 1107 = -33*l - 116*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 6, b: 12}. What is prob of picking 1 e and 2 b?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 620*h + 4576. What is k(-11)?\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 11 = 5*m - f, -3*f = -4*m. What is the nearest to 0 in -0.04, -1, m?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263427 divided by 1138.\nAnswer: -263427\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = k - 5*v, 3*k - 2*v = -0*v - 1. Suppose -5*h - 12 - k = 0. Let m be 14\/h - -2 - -3. What is the closest to m in -3, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1243.73 + -1206.432. Let t = -2453 - c. Round t to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 6, w: 2, b: 3, o: 5, x: 2}. What is prob of sequence bx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.9581 - -0.0581. What is g rounded to zero decimal places?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73c (base 16) to base 14\nAnswer: -964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 395, -2\/51.\nAnswer: -2\/51, 2, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -35*b. Let v(i) = 2*i - 3. Let k(q) = 9*q - 13. Let z(u) = -6*k(u) + 26*v(u). Calculate z(t(o)).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (24 + -38)) + 20 + 1 + (0 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*o = -23, -2*o + 0*o = 2*u + 46. Let g be 426\/8 + (-1)\/4. Let z = u + g. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*j**4\/5 - 272*j**3\/5 - 344*j**2\/5 - 96*j\/5.\nAnswer: -2*j*(j + 2)**2*(31*j + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4, 2 = -3*n + 2*c + 12. Let g = 2 + n. Let s(y) = y + 3*y**2 - y - g*y**2. Let k(z) = z. Calculate k(s(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 5. Let m be ((-72)\/6)\/(4\/(-10)). Suppose -6 - m = -c. What is the highest common divisor of c and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 39*m - 60. Suppose -5*j + 100 = y, 9*y - 14*y + 40 = 2*j. Calculate the remainder when v(j) is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*g + 90*g + 54 = -4*k, 34 = 2*g - 3*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(26\/182)\/((-1)\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 13*x**2 - 4*x + 12. Let i be v(-12). Let y be (-8)\/i*-3 + 69\/21. Suppose y*d - 85 + 13 = 0. What is the lowest common multiple of 12 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -38.38.\nAnswer: -38.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 3*b**2 + 5*b**4 + 7 + 6*b**4 + 4*b**4 - 21*b**4 + b**3 in the form k*b**3 + d*b**2 + u*b + f*b**4 + z and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 12:50 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/17 - 2536*f**3\/17 + 4394*f**2 - 517484*f\/17 = 0.\nAnswer: 0, 11, 19, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 + 123 = -3*i. Suppose -5*k + 6*q - 32 = 3*q, -4*k = 2*q + 8. Let l be i\/(-32) + (-3)\/k. Let t(a) = -a. Give t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 2, q: 8, g: 3, s: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from 406261143744.\nAnswer: 406261143744.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0018915597 and 0.3?\nAnswer: -0.00056746791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = -24. Let c = 113 - 126. Let u = i - c. Which is bigger: 5\/11 or u?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/2)\/z))**(-4))**35 assuming z is positive.\nAnswer: z**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2473*s**3 + 215*s**2 + 6 - 1353*s**3 - 3865*s**3 - 3926*s**3 wrt s?\nAnswer: -40026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(5*d + d - d + (-24*d + 33*d - 376*d)*(5 - 1 - 3)).\nAnswer: 724*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 0*t + t**3 - 2*t**4 + 2*t**2 + 1 - 8*t + 4*t to m*t + z*t**2 + h + s*t**4 + q*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044103407 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 293+-1515820147.1\nAnswer: -1515819854.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11 + 15 + 5 + 472*w - 31. Let o(r) = r**2. Give o(l(t)).\nAnswer: 222784*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 35. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(352)\/sqrt(11) + (sqrt(576)\/sqrt(3))\/(-2*sqrt(6)*2) + -3.\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 21*k = 2. Calculate the remainder when 159 is divided by 18\/(-42) - (k - 220\/7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64936060 divided by 35\nAnswer: -1855316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 7.800068172.\nAnswer: -14.800068172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - -3) + -6)*5\/(-2). Let y(n) = -n + 11. Let v be y(h). Calculate the greatest common divisor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13587 - -0.4?\nAnswer: 13587.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19107*r - 17806*r - 1319*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d - 3*a - a, -5*a = -4*d + 57. Let w = d + 2. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376657152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (80\/852)\/(2\/(-42)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41644096 and 624.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6\/7, 1\/2, 29 in descending order.\nAnswer: 29, 6\/7, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1666*q + 4. Let t(u) = -11661*u - 27. Determine -27*k(v) - 4*t(v).\nAnswer: 1662*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -305733*h - 2751598. What is f(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83349*m**3 - 2666412*m**2 + 169332*m\/7 - 384\/7.\nAnswer: -3*(m + 32)*(441*m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 14*h - 7. What is j(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0 + 12. Let o = 4 + 1. Let q = o - h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4132149 by -5.\nAnswer: 4132149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 10}. What is prob of sequence sqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3631 + -3244. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455475265 divided by -13013579.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 98269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -4*t, 3*t - 2*t - 10 = r. Solve -3*n - 4*f - 21 = 5, -n + 2*f = -t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, s: 1, h: 1, k: 1}. Give prob of sequence khcf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291151416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-6)*t))\/(t**(-5)*t))\/((t\/((t*t**(-4))\/t))\/(t\/t**(2\/9))) assuming t is positive.\nAnswer: t**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1326)\/(-9))\/((-2)\/(-3)). Suppose 5*d + 4*m - i + 47 = 0, 68 = 2*d + 2*m. Calculate the highest common divisor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a3 (base 11) in base 8?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)\/(8\/248). Do -31 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -9. Let r = -7 + d. Suppose r = 2*k + k - 114. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2928, -10824, -23968, -42348, -65952, -94768, -128784, -167988?\n\"Answer: 2*z**3 - 2636*z**2 - 2*z - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 7. Let d be g(5). Let c = d + 0. What are the prime factors of (-29)\/c*(-2 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92318590?\nAnswer: 2, 5, 7, 13, 101449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w**3 + 105*w**2 - 51*w - 10. Let f be y(-10). Find s, given that f*s + 3\/8*s**2 + 1\/8*s**3 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) 5 (d) 2\/3 (e) -0.2481\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 618 and 3691932.\nAnswer: 3691932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Let o = -83324 - -83322. Which is the nearest to o? (a) x (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0564?\nAnswer: 0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 + 8*r - 10. Let w be b(-7). Let u = w + 14. Let p(v) = v - 2. What is p(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -2.199989. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-27) - (-4)\/18. Let x = f + 0. Let k be ((-9)\/12)\/(x\/(-8)). Sort 4, k, 0 in decreasing order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003939 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 4840272*u**2 + 1464254884032*u - 5857096980736.\nAnswer: 4*(u - 4)*(u + 605036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 23*y - 8. Let o be i(-20). Suppose -4*m = -3*u - o, -u - 26 = -2*m + 2*u. Calculate the highest common divisor of m and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350942 (base 10) to base 3.\nAnswer: -122211101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxrabxsssbbbsn. What is prob of sequence xn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v + 5. Let h be c(-3). Suppose h*m = -2*m + 4. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from cafaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -821 + 844. Let s(f) = -187*f - q - 6 + 4 - 2 + 182*f. Calculate s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(363) + (sqrt(3) + 1)*-6.\nAnswer: -7 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2450) + sqrt(2450))\/((sqrt(100)*-2)\/sqrt(10)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623303765.\nAnswer: 5, 7, 547, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5337, 5338, 5339, 5340, 5341, 5342?\nAnswer: 5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.5. Sort i, -0.02, -2\/5 in decreasing order.\nAnswer: -0.02, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4532*s + 4527*s = 4*r - 25, 0 = 3*r - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, -50, 36, -2, 14 in descending order.\nAnswer: 36, 14, -1, -2, -20, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.7 (b) -2\/11 (c) -1 (d) -0.5 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591222.\nAnswer: 2, 1295611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*(-1 + 0 - 0). Suppose l - 21 + 6 = 5*s, -2*l + 4*s + 12 = 0. Is 7 a factor of 2 + -3 + l + q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5440 and 7540928?\nAnswer: 37704640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 + 4*w - 4. Let q be v(4). Let z be (-12)\/3*(q + 3). Let i = -11 + 7. Sort i, z, -2 in increasing order.\nAnswer: i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 3) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - -24. What is the least common multiple of (5\/(o\/(-48)))\/(52\/(-130)) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) -1\/8 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (-7 - (-21)\/7) + 145?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {f: 3, v: 3, i: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.232, 1, -0.5, -1\/7, 0.0645?\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 - 13*p + 9. Let s be (-176)\/(-24) - -2*1\/3. Calculate the remainder when 65 is divided by w(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 74. What is the tens digit of (-5)\/(d\/(-12)) - -306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c842 (base 15) to base 9\nAnswer: -151488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.1 (c) -0.4 (d) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06528 times -0.9\nAnswer: -0.058752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 4?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79525*f**3 - 19*f + 915.\nAnswer: 477150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*v + 40, 0 = -v + 4*v - j - 17. Suppose 2*i = 4*i + 6. Let d(r) = -11*r. Let p be d(i). Solve -3*t + 9 = -t + b, v*t - p = -5*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 45, 143, 331, 639, 1097?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + 0)*3) + -3)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2557133 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6734733l?\nAnswer: 673.4733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2419*j + 1209*j - j**3 + 1210*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4942797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) - sqrt(9)*-1*-6))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -32 in descending order.\nAnswer: 10, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -1\/2*x**2 + 0*x**4 - 16*x + 0*x**5 + 23\/10*x**6 - 10\/3*x**3 - 3. What is the second derivative of u(q) wrt q?\nAnswer: 828*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -11. Let u = g + -16. Let h = u + 29. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*r**2 - 844*r**2 + 1818*r**2.\nAnswer: 1247*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4*b**2 - b**2)*(-2 + 3 - 4*b - 10*b).\nAnswer: -28*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 5*b + 25, -n + 0*n = -4*b + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n**2 - 11. Let v(d) = 10*d**2. What is z(v(t))?\nAnswer: -2200*t**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2600 + 424*s**2 - 6896*s + 6896*s - 423*s**2 to q + k*s + n*s**2 and give q.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4568.621 and -2.27.\nAnswer: -10370.76967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/35)\/((-8)\/20).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 28877757?\nAnswer: -28877757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b**2 + 2*b + 1. Let h be r(-1). Let i(s) = 2*s - 21. Let u be i(h). Determine t, given that 0 + 0*t - 2*t**u + 0*t**2 + 0*t**3 - 4\/3*t**4 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + 76\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122775916 rounded to the nearest 1000000?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:58 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325 - -6177\/19. Is -2\/11 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/24*(-180)\/(-70)*(-8)\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12976 divided by -2.\nAnswer: -6488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*w - 5*w - 550, w = -2*q + 1078. Suppose 0*o = o - q. What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57\/2 - -279\/10. Let l = y - -1\/10. Which is the closest to l? (a) 0.5 (b) -7\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -1124, -2244, -3730, -5588, -7824, -10444, -13454?\nAnswer: -16860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -18 - (0 + -6) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546 + 549. Let r = 10 + -4. Calculate the greatest common factor of r and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/40 + 771*p**5\/20 - 198147*p**4\/8 + 16974593*p**3\/2 + 582*p**2. Let i(c) = 0. What is c?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -6. Let s be 2*((-31)\/p + -4). Factor -7\/3*h**3 - 1\/3*h**4 + s*h**2 - 2\/3 + 1\/3*h + 2\/3*h**5.\nAnswer: (h - 1)**3*(h + 2)*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/45 or -233985?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 228 - 3*t**3 - 260 + 132*t + 0*t + 236 + t**2.\nAnswer: -3*(t - 6)*(t - 2)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:56 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*k + 23 = 15, i - 5 = 3*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613101 is divided by 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5 - 0. Let x be 127\/180 - (-7)\/(-21). Let i = -1\/36 - x. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6543221, -13086468, -19629715, -26172962, -32716209, -39259456?\n\"Answer: -6543247*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + i**2 - 7*i**2)*(8*i - 45 + 45 + (1 + 3 - 6)*(i + 2*i - 5*i) + 4*i - i - i).\nAnswer: -42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = j + a, -2*j - a - 7 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**3 + 2*t**2 + 6*t - 2. Suppose -18 = g - 13. Let h(i) = -i**3 + i**2 - i + 1. Let u(b) = g*h(b) + z(b). Is u(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {o: 9, u: 11}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -212*w. Let z(p) be the second derivative of p**4\/2 + 2926*p. Calculate h(z(q)).\nAnswer: -1272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 + -20 + 20. Which is the second smallest value? (a) l (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1129186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. What is the closest to 2 in -5, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*w + 4*a = 4, -4*w - 3*a - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:35 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -17456.\nAnswer: 3\/17456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102026\/125935 - 228\/283. Is 19 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 + 6*j**2 + 5*j + 1. Let c(r) = 6*r**3 - 5*r**2 - 4*r - 1. Let y be 9\/3*2 + 2. Suppose 0 = -2*o + 4*o + y. Calculate o*t(q) - 5*c(q).\nAnswer: -2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 4*k, -k - 2*s = 0. Suppose k = 9*b - 0 - 126. What is the smallest common multiple of 2 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l. Suppose l = 10*g - 12*g. Suppose -3*u + k + 1893 = g, -5*u + 621 = -5*k - 2534. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:57 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/11)\/u**0 assuming u is positive.\nAnswer: u**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8109 divided by -37?\nAnswer: 8109\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-171)\/(-12))\/3 - 4. Which is the nearest to -0.1? (a) d (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4*p = -l - 36, l - 5*p = -21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 576064343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1014 and 507.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520 by -1.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/27)\/(4\/6). Let w(m) = 2*m - 2. Let y(u) = 1. Let h(p) = z*w(p) - 2*y(p). Let v(r) = r**2. Determine h(v(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 3*v**4 - 40*v**3 - 52*v**2 + 288*v + 448.\nAnswer: (v - 4)**2*(v + 2)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 2. Let d(a) = a**2 + 2*a - 2. Let j be d(-4). Give y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3276*t + 4 + 3300*t - 6528*t + (-135 + 5*t + 135 + (0*t - 4*t + 2*t)*(-1 + 1 - 1))*(-1 + 4 - 4).\nAnswer: 41*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, -1\/7, -21, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-2\/31))\/((d\/(d\/(d*d*d*(d**(-10)\/d)\/d)))\/d))\/(d**(1\/7)\/(d\/d**(-2\/57))))**(2\/71) assuming d is positive.\nAnswer: d**(4166\/12369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (-16 - -3)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 278. Let k = z - 173.0161. Let j = k - -0.02. Round j to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u. Let a be c(1). Suppose -p = -2*f + 10, -5*f + a = -3*p - 28. Let r = -18 - p. Solve x = 5*x + z + 21, -z = -r*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/30 - 4 - -6. Which is the closest to 2? (a) 5\/6 (b) z (c) 10 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + s - 24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85621 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011227512 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 1030 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 20. Let x be n(-8). Let h(g) = 3*g**2 - g + 2. What are the prime factors of h(x)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 2734916*u**2 + 467483977980*u - 467486712900.\nAnswer: 4*(u - 1)*(u + 341865)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3145132 (base 8) to base 7.\nAnswer: -10060555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39396 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: What is the remainder when 415 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -378, -1, 0, -4 in descending order.\nAnswer: 5, 1, 0, -1, -4, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from xnnnninxxjjnxn?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*z - 4, 49*x - 2*z = 48*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5832?\nAnswer: -5831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -164 + 44613?\nAnswer: 44449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3198 - 3198.06383. Round k to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h + 31*h**2 + 75*h**2 - 94*h**2)*((-3 - 2 + 3)*(-2 + 4 - 3) - 1 - 2 + 5).\nAnswer: 48*h**2 + 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 83. Let x be d(9). Let l(v) = -17*v**3 - 9*v**2 - 21*v - 21. Let u(k) = -4*k**3 - 2*k**2 - 5*k - 5. Calculate x*l(y) + 9*u(y).\nAnswer: -2*y**3 - 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8767537 millennia to years.\nAnswer: 876.7537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-616))\/((-74)\/(-592)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39749, -40125, -40505, -40889, -41277, -41669, -42065?\n\"Answer: -2*g**2 - 370*g - 39377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -107. Let d be 6\/a + 7\/((-105)\/(-66)). Put d, -6, -5, -4 in descending order.\nAnswer: d, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h - 73. Suppose -8*p + 46 = 6. Let u be g(p). Solve -5*y + 0*t + 12 = 3*t, -4*y + u = 3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2164119 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {o: 3, l: 5, f: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v + 32. Let s be v\/(-30) - (-8)\/(-20). Put 1\/5, s, -0.2 in increasing order.\nAnswer: -0.2, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*q**2*u**2 - 4*q**2*u - 2*q**2 - 2*q*u**4 - 66*q*u + 1 wrt u?\nAnswer: 252*q**2 - 24*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, a: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 147288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 9*t**2 + 18 + (12 - 16 + 12)*(3*t**2 - 4*t**2 + 3*t**2))*(2*t**3 + t - 2*t**2 - t).\nAnswer: 50*t**5 - 50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709489374.\nAnswer: 2, 3, 11, 19, 31, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-8)*c*c)*c*(((c\/(c**(1\/10)\/c))\/c)\/c)\/c)**(-6\/11)\/(c**(-6)\/c**(-1\/6)*c**(-1\/5)\/c**1) assuming c is positive.\nAnswer: c**(1079\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 12\/(1428\/(-1139)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from uqc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.1.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3720, -7265, -10454, -13107, -15044, -16085, -16050, -14759?\nAnswer: -12032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 - 0.9. Let n = -3 + 2.7. Let p = 0 + 0.1. What is the closest to p in 2\/5, h, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 2. Let c = -0.01 - -0.01. Let f = -4 - c. Sort -0.4, d, f in descending order.\nAnswer: -0.4, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = -u. Let m = 8471 - 8466. Solve a = 3*l + m, -u*l + a - 6 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in 1.5, -4, -767, 3.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 155*y**8\/336 + 26*y**5\/3 - 4*y**2 - 56*y. Find the third derivative of b(h) wrt h.\nAnswer: 9300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 79 + 13*r**2 - 2*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4 - 1 - 20*i**2 - 32 + 6*i + i**3. What are the prime factors of g(20)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19298039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.806652 seconds to days.\nAnswer: 0.00188433625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 4 (c) 5 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5 - -1) + -6 - -10)\/(14 - 10). Factor 0*d - 15\/2*d**3 + u*d**2 + 9*d**4 + 0 - 3\/2*d**5.\nAnswer: -3*d**3*(d - 5)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289 - 173. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/9914 - -2478\/4957. Suppose -4*x = 2*x. Sort x, 11, u in decreasing order.\nAnswer: 11, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687533 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 330320013 (base 4) in base 15?\nAnswer: 4dd36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = s + 29 - 0, 0 = -v + 2*s + 4. Let o = -131 + 136. Suppose 33 - 38 = -o*r. Solve -3*a + 4*u + v = -a, -u = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115818 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: In base 7, what is 13 + -3300536?\nAnswer: -3300523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1)*-4 + sqrt(11))**2 - (sqrt(11) - (sqrt(11)*2 + -3)).\nAnswer: 25*sqrt(11) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 27*u**2 + u - 43. What is y(27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00293595 to five decimal places.\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 230, 1836, 6200, 14702, 28722, 49640, 78836, 117690?\n\"Answer: 230*w**3 - w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16361, 16370, 16373, 16370, 16361?\n\"Answer: -3*c**2 + 18*c + 16346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 14 = 13*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 39*f + 152. Sort f, 2, 64.\nAnswer: f, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64604 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3\/4 (c) 5 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18349829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123313640?\nAnswer: 2, 5, 3082841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/3 - (-1 - -4). Suppose n*h - 16567 = -743. What are the prime factors of h?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 6*y - 4*y - 198, 2*y = 4*c - 250. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*p - 60*p = -176*p - 3050 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1505887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 755663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8) + (-10 - (-18 + 6 - -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16)*-1)\/((-4886)\/(-616) + -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 607600 - 0?\nAnswer: 607600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -33018*j**2 - 7*j - 14. Let b be (-2288)\/132*(-6)\/(-4). Let f be q(b). Round f to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 5*d**2 - 14*d + 43. Let y be r(6). Sort y, 30, 3 in increasing order.\nAnswer: y, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 334 in increasing order.\nAnswer: -4, -3, -1, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7190 and 11?\nAnswer: 79090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/117)\/((-4)\/12*-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 67.82493180706.\nAnswer: 68.02493180706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((522\/63 - 6) + -2)*-77?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298646360 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136242\/5 - 2\/5*r**4 - 1048\/5*r**3 - 273528\/5*r - 138332\/5*r**2.\nAnswer: -2*(r + 1)**2*(r + 261)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 18*t. Let r(y) = -2*y. What is p(r(l))?\nAnswer: 20*l**2 - 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 14*s**2 + 16*s + 19. Let y be n(-15). Let q = 9 + y. Let p(g) = 5*g - 3. What is the remainder when q is divided by p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**26\/((v\/(v*v**(-1\/5)))\/(v**14*v)))**33 assuming v is positive.\nAnswer: v**(297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024883004 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1774578 and 7722.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/15*1*(-9)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-4))\/(867\/(-174) - -5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -1\/6, -38\/7, 1, -1, -5 in ascending order.\nAnswer: -38\/7, -5, -1, -1\/6, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124200 to the nearest 1000.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:40 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**6)\/t)\/(t**(-3)\/t))**(19\/5) assuming t is positive.\nAnswer: t**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 13*z - 27 = -2*u, 4*u + z = 59. What is the lowest common multiple of 108 and u?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c92a + 7b?\nAnswer: c9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*l**2*w - 43*g**2*w + 2*g*l**2 - 15*l**2*w + 2*l**2 wrt g.\nAnswer: -2*l**2*w - 86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -34*x - 2*x. Solve -3 = z + 2*m, 3*m + 27 = -x*z + 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -2\/13 (c) 2\/7 (d) -4 (e) 583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 + 88. Let z = h + 162. Is z > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 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: Let i = 9 - 13. What is the units digit of (i + (4 - 1))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -1.2. Let d = -8 + 7.9999997. Let q = d - m. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-33)\/(-27)*1. Let v = 6899\/7 - 984. Let a = 51\/28 - v. Sort p, 5, a.\nAnswer: p, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 + 37*h**3 + 240*h**2 - 4352*h - 45056 = 0. What is h?\nAnswer: -16, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 23*v**2 - 10*v + 10. Let o be z(-11). Which is greater: o or 2\/673?\nAnswer: 2\/673","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 1163*z. Let p(w) = -w. Determine i(p(l)).\nAnswer: -l**2 + 1163*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 79*p**2 + 16*p**2)*(1 - 4 + 1)*(2 - 1 - 4)*(9 - 10 + 8).\nAnswer: -2730*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let l be g(-2). Suppose 4*o + 5*a - 97 = l*a, 3*a + 21 = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 5*i + 5*i)*(31*i + i - 31*i + 17)*(4 + 9*i - 4) to the form n*i**3 + l*i**2 + c*i**4 + g + h*i and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35308)\/(-1014) - (-2)\/(-13)) + (-1)\/(-3). Solve -4*q = 0, -2*o + 31*q - j*q = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/9017?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034 divided by 2?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13548441 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + 41?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508493\/12 + 127123\/3. Let y be -1 + (-11)\/(-4)*49. Let k = y - 133. Which is the closest to -3? (a) x (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1043a7 - -226?\nAnswer: 104611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -7, -8, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(320) + 1)*1 - sqrt(320)*2*3))**2.\nAnswer: -240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:18 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762, -1515, -2268, -3021?\nAnswer: -3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -15. Let a be (y - 3\/(-3))*11. Suppose 5 - a = -2*i. Solve i*f = 2*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (sqrt(96)*2 - sqrt(24))\/(sqrt(12) + sqrt(96)\/sqrt(2))))**2.\nAnswer: -150*sqrt(2) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-6)*23668\/1342.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 381139 = 5*y + 47238, 0 = -4*v - y + 571200. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aunuubababaabbn. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 140*r - 15 - 2434*r + 49. Let m be k(11). What is m rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.98 + 0.02. Let w = 275 - 275. Which is the second smallest value? (a) o (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 33. Let q be -2 + (-5)\/(5\/s). Let m = q + -11. Calculate the smallest common multiple of 6 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:47 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 1. Let s(u) = -13*u + 2. Let w(x) = 5*n(x) + 3*s(x). What is the tens digit of w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8457962 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35\/6 + -6. Which is the third smallest value? (a) -3 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.313054 to 3 decimal places.\nAnswer: -0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 1, 3 in descending order.\nAnswer: 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 156 - 222 = -14*w, -3*m - 4*w = -5*w + 21 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7445.\nAnswer: 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 12\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(363)*3 + 4)*3 - ((sqrt(72)*-3)\/sqrt(6) - sqrt(12))\/sqrt(400).\nAnswer: -2968*sqrt(3)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16782, 36265, 58462, 83373, 110998, 141337, 174390?\nAnswer: 210157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 56333231.15 to the nearest one thousand.\nAnswer: 56333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(600) - (2*sqrt(600)*1 + sqrt(600))))\/((2*-2*sqrt(96))\/(-4*sqrt(128))).\nAnswer: 1200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 15 + 21. Let z = j + 12. Solve -2*f + 4*h + 4 = 0, -5 = -f + z*h - 4*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -30*(1 - 2\/4). Let d = m - -18. Let r be 2\/(-6) - (-7)\/3. What is the third biggest value in d, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 175*d + 1328. What is l(8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175102169 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:22 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.6 - -8. Let f = h + -1.2. Let i = f + -3. Sort 2, -5\/4, i in decreasing order.\nAnswer: 2, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77834306 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141840, -283677, -425514, -567351, -709188?\n\"Answer: -141837*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 30. Suppose -l - 3*l = -2*m + 2, 3*l - k = -2*m. What is the highest common factor of l and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*x**4 - 8*x**3 + 10958*x**2 wrt x?\nAnswer: -4200*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162535662 (base 7) in base 10?\nAnswer: 11034648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 1 + sqrt(68) + ((sqrt(459)*-2 + sqrt(459) - sqrt(459) - sqrt(459) - sqrt(459)) + sqrt(459) + sqrt(51))\/(2*sqrt(243)).\nAnswer: 1 + 14*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.5. Let j(y) be the third derivative of y**4\/24 + 2*y**3\/3 - 3*y**2. Let t be j(-6). Put n, t, -0.2 in descending order.\nAnswer: n, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 5*p - 1. Let y(r) = 9*r**2 - 9*r - 2. Let m(h) = 13*q(h) - 6*y(h). Let c be m(-5). Which is smaller: c or 33\/13?\nAnswer: 33\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 54*g - 716. Let j be z(31). Let y = -9 - -7. Let s be -1*2\/((-6)\/15). Put y, 4, s, j in ascending order.\nAnswer: j, y, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*v - 48*v + 66*v**2 + 442*v - 84*v wrt v?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-373 - -374)\/((4\/(-34))\/2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 10 (c) -2 (d) -0.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-3) - -3)\/((-3)\/(-9)). Let z be (-4)\/12 - ((-5)\/x + -2). Solve -3*n + 12 = -z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13222 - 0?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 2. Let q(m) = 3*m**2 - 7*m - 7. Let f(b) = -7*c(b) + 2*q(b). Let s be (-1 + 2)*-1 - -1. Let p(l) = 2*l + s*l - l. Determine f(p(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77789, 155511, 233219, 310907, 388569, 466199, 543791?\n\"Answer: -x**3 - x**2 + 77732*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12183 by -93.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 188 = -q. What is the remainder when (-22035)\/(-120) + 33\/88 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17474642*d + 171554857 with respect to d.\nAnswer: -17474642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anvwwjiijijaiwi. Give prob of picking 1 w, 1 n, and 2 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 + 30\/6 - -7 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = -100. Suppose x + 4*r - 7 = k, x - 3*r = -3. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 32*n**2 + 408*n + 49. Determine x(-12).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 800 + 889 - 2353 - 1368 as g*m + z and give z.\nAnswer: -2032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52716, -105742, -158756, -211752, -264724, -317666, -370572?\n\"Answer: o**3 - 53033*o + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376.239 centuries in years?\nAnswer: 537623.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136653808 or -136653810?\nAnswer: -136653808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k + 5. Let t be -54*(15\/9)\/(-5). Suppose 7*x - 116 + t = 0. Calculate the remainder when q(4) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 202563 and 0.351?\nAnswer: 202562.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2565567)\/18*(-40)\/(-15))\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 12, h: 2, x: 4}. What is prob of sequence hava?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17537, 19086, 20635, 22184?\n\"Answer: 1549*m + 15988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 197 (b) 0.5 (c) -4.8 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 238 - 642?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29746, -31423, -33102, -34783?\nAnswer: -36466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.81 - 28.54. Which is greater: k or -24\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*b = 510, -5*p + 3*b = -b - 846. List the prime factors of p.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -0.16. Let l = w - -0.1. Let g = 3214\/7483 + -1\/1069. Which is the nearest to 7? (a) l (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228402 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t + 26*t**4 + t + 175 - 204 + t**2 wrt t?\nAnswer: 312*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5779 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 7:50 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/964364 and 11\/98.\nAnswer: 47253836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19208002*f**2*u - 86537700*f**2 - f*u - u wrt u?\nAnswer: -19208002*f**2 - f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (39 - (-29 - -105)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15817 or 15823?\nAnswer: 15817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*j + 3332*j**6 + 86*j - 2510*j**6 - 3*j**2 + 2*j**3 wrt j?\nAnswer: 98640*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 372*a - 370*a + 4, -z - a - 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*r - 14, 7*r - 4 = 3*r. Which is the closest to 1? (a) 7 (b) l (c) -2\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = 6*h - 3*h, -s + h + 5 = 0. Suppose -3*j + 2 = 3*n + 32, 4*j + 2*n = -44. Calculate the remainder when j\/(-9)*(-45)\/(-6) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39516157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3056 (base 16) in base 11?\nAnswer: -932a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -806 - -1357. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 0.5, -1\/10, 5\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g**3 - 1126*g**3 - 103907 + 103905.\nAnswer: -1062*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usu when three letters picked without replacement from {h: 1, f: 2, u: 2, s: 1, p: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 1 + 2 = d, 5*v + 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*h - 47 = p, -p = -5*h - 82. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/10)\/(-3)*(-26)\/13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 581176668 + 1?\nAnswer: 581176670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*d - 0*b + 4*b, 4*b = 0. Suppose -2 = -z - d*c, -2*c + 14 = 3*z + 2*c. Suppose -z*f + 8 = -2*f. Solve -2*u - f*u = 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -69\/5. Let p be (44\/33)\/(5\/(-3)). Which is the nearest to x? (a) p (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 18) + -32 + 39 - 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/10 of a millennium?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 9*b + 8. Let d be z(-8). Suppose d*p = 5*p. Suppose -4*s + 2*i + 724004 = -p*s, i - 542998 = -3*s. Round s to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 minutes after 3:15 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*x - 4 = -2*h, -2*x = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -2 (c) -0.171 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/9 - 56*k\/9 - 64\/3 = 0.\nAnswer: -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101221222010122112 + -11?\nAnswer: -101221222010122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose -25*i + 29*i = 32. Suppose 5*h = i*h - 120. What is the highest common factor of h and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 45 + (54 + -37 - 14) + -13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -26. Solve 0 = -2*x + x - 2*c - k, -c - 8 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -535, -559, -603, -673, -775, -915, -1099?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73802, 73805, 73808, 73811, 73814?\nAnswer: 73817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minus 0.122?\nAnswer: 102.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/37 (b) 2.9 (c) 10\/81 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -10.2. Let d = p - 10.4. Which is the nearest to 2? (a) -3 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 1 (c) -1010.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*h + 34, 5*h = 11*q - 10*q - 16. Calculate the highest common divisor of q and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183883263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 19*r - 81. Calculate i(-5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.4 * -0.1.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/2 + 3143*v + 6285\/2 = 0. Calculate v.\nAnswer: -6285, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {w: 1, c: 1, m: 2, i: 1, g: 2, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788683 and 1014021.\nAnswer: 7098147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, m: 1, q: 4, s: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a**3 + 4*a**2 - 13*a + 372. Let l(z) = -13*z**3 + 3*z**2 - 10*z + 373. Let t(o) = -3*f(o) + 4*l(o). Differentiate t(k) wrt k.\nAnswer: -48*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*j = -11, 5*x - 379*j = -374*j + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 - 4. Let c = 0.2 - 0.1. Let n = c - w. What is the smallest value in -1, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12792 and 3744.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*b + 6 = 0, 2*o - 5*b - 2 = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.07 times -2?\nAnswer: -1030.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.59*-1895.1\nAnswer: 1118.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 9*b**3 + 106 - 58.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-8)*3*(-57)\/(4959\/58)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2303*m = -2310*m + 3528. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*i + 59 = 0, -4*i - i = -3*m + 91. Let x(p) = p**3 - 12*p**2 + 2. Let o be x(12). What is the remainder when m is divided by 8\/o - (-3 + 3\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1279 by 6.\nAnswer: 1279\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179047?\nAnswer: 11, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(0 + sqrt(1900) + sqrt(1900))*-4 + -1)**2.\nAnswer: -1280*sqrt(19) + 486416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzizizzizzii. What is prob of sequence zz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/11, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7*p + 16, p + 14 = 2*r. Suppose g + 4*n = 13, -12*n + r*n - 14 = -4*g. Solve -3*v - 2 = 3*i - 5*i, 4*v = g*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 1. Let m be i(-2). Let h = 32 - m. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 61*s + 80*s = -62, s = 2*i - 18 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + 3\/(1 + 2). List the prime factors of (115\/(8 + -7))\/(2\/t).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/1*28\/63*(-56334)\/(-916)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19750, 158700, 536042, 1270972, 2482686?\n\"Answer: 19866*i**3 - 112*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2))**50\/(n\/(n\/n**(2\/7)))**(-4\/7) assuming n is positive.\nAnswer: n**(-2442\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.3, -2\/9, 0.4, -131.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Let i = 511 - 503. What is the smallest common multiple of r and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2\/11, 2\/15, -1.7, 4\/3, -8\/7, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 217*o**6\/10 - 745*o**2\/2 + 280*o + 1. Differentiate b(m) with respect to m.\nAnswer: 2604*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*q + 129*q**2 + 53 + 1135*q - 20*q**2.\nAnswer: 109*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - -0.87. Let m be (24\/(-9) + 1)*(-135)\/(-150). What is the nearest to -2\/3 in 3, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:25 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 17 (b) -67.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 6*o + 5. What is the remainder when n(-4) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -4*o, -3*o - 4 - 5 = -3*f. Let p be 263\/2 + (-9)\/f. Let s = p - 43. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -56, -60, -3 in decreasing order.\nAnswer: -2, -3, -56, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from ewqwweewevmvwmmwmwc?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -11, -30, 118, -6.\nAnswer: -30, -11, -6, -5, -4, -2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3 + 3 + 2*m**2. Suppose -2*u + 2 = 0, 3*i - 2 - 2 = -u. Let o(c) = 2 - c + i - 3. Give o(x(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 4*g**2 - 14*g + 6. Let r be m(6). Find the third derivative of -7*x**2 + r*x - 7*x**4 - 426*x wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/15 - 142*x**2\/15 - 278*x\/15 - 46\/5.\nAnswer: -2*(x + 1)**2*(x + 69)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.731993*-2.\nAnswer: -11.463986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*j + 806 = 153*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*z = z - 56, -4*w = -4*z + 200. Let i = 1 - w. Let t = -27 - -45. Calculate the remainder when i is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-18) + (160 + -1 - 1). Let m = 153 - s. Let a = 0.2 - 0.7. What is the third biggest value in -1\/6, a, m, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2118335104 to the nearest integer?\nAnswer: 46025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 22*p**2 - 20*p - 13. Let l be k(21). Suppose -19361 = -l*a + 33735. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 2, y: 7, q: 1, l: 1, m: 1}. Give prob of picking 1 q, 1 t, and 2 u.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 125*m + 7. Let g(u) = -624*u - 37. Determine 2*g(f) + 11*x(f).\nAnswer: 127*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*g = 7 + 221, -183 = -4*a - 3*g. Suppose 0*p = 5*p - 185. Suppose 0 = -2*h + p - 7. Calculate the greatest common factor of a and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6510610?\nAnswer: 2, 5, 23, 28307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-26)*(-64)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from luullluuluuluullllu.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 x when three letters picked without replacement from dwxodoxww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5845040*q + 4836898 wrt q.\nAnswer: -5845040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 0*w)*(0*w**2 - 2*w**2 + 0*w**2) + 16*w**2 + 595*w**3 - 293*w**3 - 297*w**3 + (1 - 1 + w)*(0*w**2 + 0*w**2 - 2*w**2) - w + w + w**3.\nAnswer: 6*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2157000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 37. Let g = o - -31. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 3*t**2 + 4*t**2)*(-9*t + 9*t + 28*t).\nAnswer: 252*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338068611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 27166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -24. Let q = b - -6. Let x(h) = 11*h**3. Let c be x(1). Solve -c = -3*m - 2*v - 3*v, -v + q = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64605600 divided by 648.\nAnswer: 99700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w - 2, 4*d = -2*w + 130. Let n = 69 - d. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + sqrt(1100) + 1)*-6)**2*4*5 + (((sqrt(1100)*-4)**2 - sqrt(1100))*-2 - (2 + sqrt(1100)*-4)).\nAnswer: 28860*sqrt(11) + 3133518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48874, -94476, -140078?\nAnswer: -185680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.4 - 53. Let b = 346 - 197. What is the third smallest value in -3\/5, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 9d25?\nAnswer: -9d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by 1612?\nAnswer: -7\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12898 and 0.4.\nAnswer: -5159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 43 - n**3 + 3*n + 0*n**3 + 4*n**2 - 17*n**2 - 42 in the form c*n + r*n**3 + i*n**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + (-19 - 2) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34696 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1767 + 1981. What is the least common multiple of x and 20?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.84626 kilometers to meters.\nAnswer: 33846.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 35.7, 1, 6.54, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -11. Suppose 2*r = d*r. Let n be 1*(-10)\/(-15)*(-6)\/4. Put -15, n, r in increasing order.\nAnswer: -15, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-728)\/70)\/(1\/(-2)). Let i = -21 + w. Which is the biggest value? (a) -4 (b) i (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453271445?\nAnswer: 5, 11, 749209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 581405?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 10*z**2 - 24*z + 5. Let i be p(-6). Solve 4*s - 8 = 3*s - i*f, -5*s - f = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48398898063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29950560 and 360?\nAnswer: 29950560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -34. Suppose 6 + u = 2*r. What is the remainder when 12 is divided by ((-2)\/1)\/6 + 20\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1147*d**2. Let o(b) = 3*b. What is o(q(a))?\nAnswer: -3441*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795*v + 711 = -2716*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 4\/(-8) + -1)\/(273\/(-1092)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) 0.019 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4228339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 10*i - 14. Let l be j(-8). Suppose l = -b + 3*t, 5*b + 2 = 5*t + 22. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) -78 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**3\/6 - c**2 - c. Let k(s) = -2*s - 21. Let j be k(-12). Let n = 59 + -61. Let g(h) = -h - 2. Calculate j*g(f) + n*y(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 13) to base 5.\nAnswer: 4041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.06 and -3.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -129, 3, 5 in ascending order.\nAnswer: -129, -9, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 11*v - 29. Calculate k(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1\/3 (b) 42 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 25, 0, -37, -86, -147, -220?\n\"Answer: -6*q**2 + 5*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1 + 53*u - 38*u - 14*u. Let w(f) = -5*f - 4. What is 6*m(i) + 2*w(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2079.017\nAnswer: -6237.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*q = -0*q - 155, j - 2*q + 78 = 0. Let b be (-3)\/(-3*(-1)\/j). Calculate the remainder when 32 is divided by b\/(-50)*(-15)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -158*z. Let u(t) = -290*t**2 + 152*t**2 + 133*t**2. Determine u(i(o)).\nAnswer: -124820*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/23))**45*((n\/(n**0\/n)*n*n*n)\/n)\/n**4)**(1\/68) assuming n is positive.\nAnswer: n**(-45\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100.166 - 0.166. Let a = 99.9532446446 - -0.0467674554. Let z = a - v. What is z rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5086 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.12 + -2.62. Let u = -23054087\/65 + 354664. Let c = u + 69\/5. Sort c, q, 2\/7 in increasing order.\nAnswer: q, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3060 and 624?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j. Let v(u) = -368*u**2. Determine l(v(f)).\nAnswer: -736*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 174, 247, 302, 333, 334, 299, 222?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10866*q. Let u(i) = 43*i**2. Calculate t(u(o)).\nAnswer: -467238*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(99) - sqrt(99)) + -2)**2*6.\nAnswer: 756*sqrt(11) + 5640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-f + 2*f - 2*f) - 17*f + 10*f - 8*f - 3*f + f + f + f + 2*f - 2*f + (-f + 0*f - f)*(3 - 4 + 0) + 5*f + 10 - 10.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1 + 1*sqrt(648) - 6*-2*sqrt(648)) + 1)*2)**2.\nAnswer: 7008768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**5\/20 - 8*p**4\/3 - 67*p**3\/6 - 7*p**2\/2 - p + 6. Calculate the remainder when a(34) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743\/664*8\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.4, -2\/11, 121 in descending order.\nAnswer: 121, 0.4, 1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u + 3 - 59. Suppose 4*v = -0*v + z + 19, -10 = -5*v + u*z. Factor -12*b + 15*b**2 - 239*b**3 + 231*b**3 + 11*b**2 - v*b**4.\nAnswer: -2*b*(b - 1)*(b + 3)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - 34*n**3 + 10*n + 30*n - 89*n**3 + 68*n**3 to the form z*n**3 + q*n + a*n**2 + d and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 - i - 2. Let o(k) = k**3 - k**2 - 1. Give -n(r) - 2*o(r).\nAnswer: -r**3 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31233623.\nAnswer: 109, 286547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 98*h + 139. Let t be s(-33). Calculate the greatest common divisor of 954 and t.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101134 - -10010?\nAnswer: 111144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:42 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b + 72. Let l be i(7). Suppose 3*s + 4*c = 2, -5 = -3*s + l*s + 3*c. Solve -3*d + 3*z = 9, 3*d = -0*z - s*z - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155154 to the power of 1\/2, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/11, -4, 0.4?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -52eba3?\nAnswer: 52eb88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + -2)*(-24)\/27*-66. What is the greatest common divisor of 32 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039505357 to six dps.\nAnswer: -0.003951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2006 (b) -2\/289 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14*s = -5968. List the prime factors of s.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:39 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0929 (b) 1\/6 (c) 0.04 (d) -0.5 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 171 = -3*a + 3*a. Solve -5*f - i = -2*i + a, -3*i + 1 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -18. Let f = r + 14. Suppose 2*m = -2*c - f, 5*m - 2*c + 30 - 3 = 0. What is the second biggest value in m, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-1\/14)\/(j**0\/(j\/(j\/(j*j\/((j*j**4\/j)\/j)*j))*j)) assuming j is positive.\nAnswer: j**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-10)\/(-6))*9. Suppose 2 = -m + w*m. Suppose v + c = m - 0, -4*c = -2*v + 8. Solve -v*l + 5 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/6 - 125*d**2 - 24279*d\/2 - 35298 = 0?\nAnswer: -636, -111, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1240007 + 2215?\nAnswer: 1242224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -177 + -7?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-24)*(-51)\/34. Let k(i) = -3*i - 1. Let u be k(-2). Suppose 4 + 1 = u*p. Is p less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156790209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -16. Let j = v + -25.9. Let m = -0.8 + j. Which is the third biggest value? (a) 2 (b) 1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 165737, 333564, 501379, 669176, 836949, 1004692, 1172399?\n\"Answer: -i**3 + 167834*i - 2096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-760)\/8*-6*7\/(-210). Let y(s) = 28*s**3 - s. Let h be y(-1). Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*(0 + (-2)\/(-5)). What is the highest common divisor of w and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 6. Let o be d(9). Let g(i) = 80*i**2 - 5*i - 5. Let r be g(o). Suppose r = 14*j - 9*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*x + 5*u - 48 - 37, 6 = 941*x - 483*x - 463*x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - z**4 - 96*z**2 + z + 3*z**4 + 89*z**2 + (15*z - 15*z + 7*z**2)*(2*z - 2*z - z**2) in the form c + x*z + r*z**4 + f*z**3 + o*z**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 223*y**3 - 11*y + 73*y**3 + 43*y**3 + 65*y**3.\nAnswer: -42*y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*g = -2*r - 40, 0 = 3*r - 4*g - 28. Solve -2*z - r = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -22.\nAnswer: 17\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4987705 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12)*2) - (sqrt(34)\/sqrt(18))**2.\nAnswer: -17\/9 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.670076 millilitres?\nAnswer: 0.004670076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minus -15288?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -11) + 3 + 9 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 + 0*j**3)*(166 - 128*j**2 - 166) + (-2 + 3*j**4 + 2)*(4*j - 4*j + 2*j) - j**5 + 4*j**5 - 7*j**5.\nAnswer: 130*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*b + 50, 4*h - 38 = 4*b + 26. Let j = 13 - h. Suppose 0*a + 3 = -a, j = -c - 3*a - 1. What is the smallest common multiple of c and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**3 - 3*v**2 - 2*v + 4. Let i be (3\/6 - 1)*(-4 - 0). Let y be q(i). What are the prime factors of 2*(-1 - y\/(-8)) - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -1.8. Let u be -2 + ((-4)\/6 - -3). Which is the nearest to -2? (a) z (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 1. Let a be (-4)\/(-3)*6 + 5. Suppose -8*d = -21*d + a. Let q(j) = -2*j**2 + 4. What is d*q(w) + 3*m(w)?\nAnswer: -5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = -453. Suppose -g = -4*p + r, 50 = 3*p - 4*g - 73. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285\/45 - 4\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -28. Let y be (-3)\/(-9) + (-3)\/i. What is the closest to -2 in -2, 0.5, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18 = 4*x - o, 3*x - o - 12 = 0. Suppose 0*i + x*q = -3*i + 54, -5*q + 34 = i. Which is greater: i or 12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 22*d - 10. Let l(t) = -t + 1. Let c(w) = f(w) + 11*l(w). Give c(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -942*j**2 - 3099*j**2 - 1470*j**2 + 1646*j**2 - 3602*j**2 - 3622 wrt j.\nAnswer: -14934*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12310\/6 + (-19)\/(-57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 3 = -36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127814.000026 - 127788. Let p = -44 - -18. Let j = b + p. Round j to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 1) - (-1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13 + 37 = 0. Suppose -3*f = -0*f + 4*c - 15, 5*c = 5*f + k. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 7 = -9. Let r be v*(-7)\/(-21)*-4. What is the smallest value in -65, -3, r?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1381\/7 + 197. Let v = 137.875 - 138. Let p = -0.075 + v. Which is the nearest to 0? (a) 0.4 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = 0, 5*k - 6 = 4*m + 18. Suppose 4*z + 4*n - 75 = 37, k*n - 4 = 0. Let c = 102 + -48. Calculate the highest common divisor of c and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 5, h: 4, x: 1}. Give prob of picking 1 x, 1 h, and 2 t.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 24. Let o be j(11). Suppose 2*n + o = 5*f, 2*f - 5*n + 0*n = 5. Solve 4*k = -f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61c0 + 8?\nAnswer: -61b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44355528 by 3168252.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4354, -8708, -13062, -17416?\n\"Answer: -4354*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7368 + 0.1768. Which is the fourth smallest value? (a) 4 (b) q (c) 3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8280 + 3?\nAnswer: 8283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116168741?\nAnswer: 13, 687389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16205*q**3 + 2*q**2 - 10*q - 32.\nAnswer: -97230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 6401060?\nAnswer: 44807420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43261 greater than 43261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {p: 7, n: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*3*-5 + sqrt(99)\/(sqrt(54)\/sqrt(6)) + 2.\nAnswer: -179*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 10) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -192*f**2 + 605*f - 902452?\nAnswer: -384*f + 605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 17*y = -10. Let k = 0 - y. Let a be (2 - k) + 3*1. Solve a = p + 2 + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4234 and 6351.\nAnswer: 12702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 129420126*b + 1395797417821323.\nAnswer: 3*(b - 21570021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2. Let k(r) = -8932312*r**2 + 1. Determine k(a(i)).\nAnswer: -35729248*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {g: 6, q: 4, y: 1, e: 1, c: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 11 (b) 0 (c) -3\/3245 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2831 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137945 and 22560.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 111*s**3 - 1887*s**2 + 7*s - 105. Calculate o(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*t - 5*o, 0*t + 5*o - 3 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 12 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -86*o**2 - 24*o - 20. Let j(u) = 4*u**2 + u + 1. Let y(t) = -44*j(t) - 2*l(t). What is y(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1175346974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*2 + 5.\nAnswer: 5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 328.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y - 112. Let m be i(-55). Suppose -2*p - p - 841 = u, 589 = -2*p + 5*u. Let r = m + p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 3*u + 4 = 7*s, -5*s = -u + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 78\/(-8)*(-200)\/(-660) and -53\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 523 or 524?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + b + 145 = 0, -b = -2*t + 3*b + 76. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 - x**4\/4 + 80*x**3\/3 + 78*x**2. Let q be s(-16). Is q != -19\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 28 = 3*l. Solve -2 = 3*d + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919414.\nAnswer: 2, 3, 486569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sslsnsyyjssfnnsfsnnn. What is prob of picking 2 n, 1 j, and 1 y?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m + 6. Is 37 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-13)*(-4173)\/642. Solve -47*y + 210 + z = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 1140*w + 162450.\nAnswer: 2*(w + 285)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 33712.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*k = 1 + 3, 0 = q + k + 2. Let s(u) = q*u - 6*u - 5*u. Let j(m) = 0*m**2 + 2*m**2 - m**2 + 2*m**2. Calculate j(s(w)).\nAnswer: 363*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.307, -3, 0.2?\nAnswer: 0.307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1472 * -34901.\nAnswer: 51374272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -434*n + 3*n**3 - n**2 + 4*n**4 + 435*n - 7*n**4 - 4 in the form j*n**2 + c + p*n**4 + y*n + k*n**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + 5 + 48\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*w - 828 = 321*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2286 (c) 1\/4 (d) -1\/4 (e) 3\/4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.82642 nanograms to grams.\nAnswer: 0.00000006582642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18610, 148995, 502946, 1192261, 2328738, 4024175, 6390370, 9539121?\nAnswer: 13582226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 3*l**2 + 5*l - 1. Let p be k(4). Let j be (21\/(-12)*-1)\/((-3)\/(-12)). Solve m - p = -5*d, -3*d = 2*d - m - j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.353 - 0.647. Let j = 0.5 + 0. Let s = -0.26 + -0.04. Put j, s, q in descending order.\nAnswer: j, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34148.\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*(-4*t**2 + 1 - 1) + 4*t**2 - 5*t**2 + 0*t**2 - 2*t**2 - 11*t + 8*t + 5*t + (2*t + t - t)*(5*t - t - 5*t) as d*t**2 + p + u*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svss. Give prob of sequence sssv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 223933 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 138.478406986 and -0.116.\nAnswer: 138.362406986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/11 - 10\/33. Let z = 13 + -13.18. Let m = -0.12 + z. Put m, g, 3 in decreasing order.\nAnswer: 3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**5 - i**3. Let p(x) = 36*x**5 + 3*x**3 + 27*x**2. Let r(t) = -3*d(t) - p(t). Find the third derivative of r(l) wrt l.\nAnswer: -2340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-4) - 30\/(-20). Let m be 4\/(-6) + 11\/3. Suppose m*l = -2*l + d. Solve l*g + g + 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 130*l**2. Let y(f) = 35180*f**2 - f. What is y(q(m))?\nAnswer: 594542000*m**4 - 130*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 9 - (0 - 17) - 13 - 28.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -0.15. Let c = -0.26 + d. What is the nearest to c in 1, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 761348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269873 greater than or equal to 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 22 = 3*s, 5*q = 2*q - 5*s + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 959378434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 173*p**3 + 349*p**2 + 175*p = 0.\nAnswer: -1, 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 10*p - 11*p - 5, -4*p = 4*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v + 2*o - o, 2*v - 21 = -3*o. Is v*2*(-627)\/(-76) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z - 30*z + 346*z - 33*z - 24*z - 223*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -26*j + 1603. What is p(66)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2239002905461*o**2 + 2239002905463*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8976, -8992, -9032, -9108, -9232?\n\"Answer: -2*t**3 - 2*t - 8972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063471036 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123502?\nAnswer: 2, 61751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -5*p**3\/6 - 4*p**2 + 144*p. Let z(n) = 4*n + 7. Let r(l) = -2*l**2 - l + 1. Let y be r(-2). Calculate y*c(w) - 6*z(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 11*i**2 - 10*i + 23. Calculate t(10).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749*f - 7665 - 29533 = 103001 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j - 241652 = -242264 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u - 12, -5*x - 5*u - 10 = 0. Suppose -5*j - 4981 = -8*j - x*z, 2*j + z = 3319. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let v = m + 4. Suppose -3 = -x - 2. Which is the closest to x? (a) v (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c**(-16))\/(c*c**(-3)*c*c*c\/c**21) assuming c is positive.\nAnswer: c**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 12, o: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 59. Let g(a) = -a**2 - 7*a + 9. Let v be g(-7). Find the second derivative of 9*n - 13*n**2 - v*n**2 + 14*n**b wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37733.\nAnswer: 97, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -12011110400?\nAnswer: -12011110330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a + 132. Let u(d) = 6*d + 63. Let p be u(-6). Let g = a + p. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 127. What is the third smallest value in 42, 1\/6, q?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agggqgggggqoqggogc. What is prob of sequence gqo?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1545*w**3*y - w**2*y - 677*y + 2 wrt w.\nAnswer: -9270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 9*x = 140. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2\/2 + a + 52. What is s(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/11)\/((n*n**(-18))\/n) assuming n is positive.\nAnswer: n**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 + 2*t + 7. Let w be g(-5). Let b = -3.4 - -3. Let x = -0.1 + b. What is the closest to 0.2 in 2, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/9)\/1*(11 + -9). Which is the nearest to u? (a) -3 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28410 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11478362.\nAnswer: 2, 7, 37, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 1, i: 1, c: 1, s: 2, z: 1}. What is prob of picking 1 c and 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.06 - 0.06. Let k = 505256709 + -505256750.0000022. Let f = a + k. What is f rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*b = 98, 8*b = 3*b - 10. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 0.0765?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57432 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18.65036 and 101.\nAnswer: 119.65036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*-290*3*16\/(-1280)*-16\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -11, -1\/5, 7, 2, 5.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4103 is divided by 215?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - -4.19. Let q(x) = -x**3 - 6*x**2 - 6*x - 2. Let l be q(-5). Let s = 0.12 - 0.22. Which is the closest to 1\/5? (a) p (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - (8 + (-14 - -6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z\/(z\/(z*z**(-1))*z))**(6\/19)\/(z*z**(-4)*z**(4\/3))**(-32) assuming z is positive.\nAnswer: z**(-3094\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 - -254. Let k be 2\/(-9) - 8\/(-117). Which is the nearest to 2? (a) k (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.997 rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/6)\/((-6)\/(-18)). Suppose -u*j + 105 = 101. Let b(y) = -7*y**2 + 2*y - 1. Give b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4572682 divided by 61\nAnswer: 74962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45202 is divided by 9040.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.03 - 22.03. Let z = 3820\/23 - 166. Which is the third biggest value? (a) l (b) z (c) -0.3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25*z**3 + 2*z**2 + z. Let l = 2 + -13. Let n = 10 + l. Is h(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1311 - 4?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*f**4 + 2*f + 3*f**3 - 5*f - 47*f**4 + 4*f + f**2 as u*f + h*f**4 + n + d*f**2 + x*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142420 and 484228.\nAnswer: 2421140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*q + 40*q + 2607*q = -38511 - 222289 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*q)*(-4*q + 2*q**3 + q**4 - q**3 + 0*q).\nAnswer: 3*q**5 + 3*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19959, -19958, -19955, -19950, -19943, -19934, -19923?\nAnswer: -19910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -62?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 7*d - 5*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/(-11)*1079\/166*(-6)\/(-26)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 7*g**2 - 69*g. Let i be s(-4). Calculate the greatest common divisor of i and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 10. Let b = -1 + h. What is the least common multiple of -11*1 - (-1688 - -1649) and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -89. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*j = 33, -2*j - 39 = 3*a - 62. Solve -5*x = a*p - 30, -2*p - 5*x + 9 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103088997.\nAnswer: 3, 11, 29, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -0.08 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from swwwsswhwhhhw.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -19*s + 123. Let j be g(6). Which is the fourth smallest value? (a) -0.3 (b) 6 (c) 5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. What are the prime factors of u*(-2 + 3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0, -2.58, 0.1, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 2\/11 (c) -1\/84 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26853 = 1015*a - 44200 + 24363 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n + 170. What is i(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from splfkrrrppf. Give prob of sequence pl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5.2. Which is the third biggest value? (a) -1 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/12 + b**3\/6 - b**2\/2 + 3*b. Let g(a) = -a**3 + 3*a**2 - a + 1. Let s be g(3). Give m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*((2 + 0 - 3)*(4*z - z - 2*z) - 6*z + 9*z + 3*z)*(0*z**2 + 2*z**2 + 0*z**2).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:06 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 171?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 5, 8, 1, -111, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2300*l**2 + 531*l**3 - 91*l**3 + 14*l**3 wrt l.\nAnswer: 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 607, 37, 170 in decreasing order.\nAnswer: 607, 170, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254\/11 + 17791\/770. Let s(r) be the second derivative of 0*r**4 + 1\/50*r**6 + 3*r + 0*r**3 + 0*r**2 + 0 + 0*r**5 - z*r**7. Factor s(n).\nAnswer: -3*n**4*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 0*z**2 + 0*z**2 + z - z**2 + 2 + 1. Let q be y(2). Is (-3)\/q*3970\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + 87. Let d(c) = 27*c. Determine b(d(o)).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + m**4 - 4*m**2 + (m + 3 - 2*m - 1)*(122*m**3 + 76*m**3 - 993*m**3 + 1).\nAnswer: 796*m**4 - 1590*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 629691 and 6296910?\nAnswer: 6296910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1035 - 1033. Let f = -283\/2 + 139. Which is the nearest to -4\/3? (a) f (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/((-504)\/924)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126.1 - -126. Let p = -0.2 + 0.4. Which is the closest to i? (a) -4 (b) -6\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -48*q**2 - 2823*q + 12610. Give g(-63).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**3 - 8*g**2 + 16*g + 61. What is j(-3)?\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65251639?\nAnswer: 53, 61, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7187000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + -696. Let j be 1\/5 - c\/75. Suppose 3*x - 2*q = 18, 2*q - 4 - j = -x. Solve -d = 4*z + 9, -3*d = -x*d - 5*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/14 - (-4)\/(-14). Let a = 10 + -8. Suppose 0*y = -y - a. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*c*m**3*n**2 - 3*c*m**2*n**2 + 6*c*m**2 + 5*c*m*n**2 + 2017*m**4*n + 8*m**2 - 2*m*n**2 + 47*n wrt m?\nAnswer: 1872*c*n**2 + 48408*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953557 a multiple of 1103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -13, -18.\nAnswer: -18, -13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u + 140*u - 9140 - 1570 = 0 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 + 745886*b**2 + 69542867680*b - 69543613568 = 0 for b.\nAnswer: -186472, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**2 - 2*o**2 - 3*o**2 - 10*o**3 - 2*o**3 wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -54*w**3 - 3*w + 6. Let u be l(-4). Suppose u = 5*a - 22821. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21345 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3932477, 3932508, 3932539, 3932570, 3932601, 3932632?\nAnswer: 3932663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*f + 8, 4134*f - 4135*f + 4 = 5*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2876 by -1.\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10*15\/(-4)*1\/6. Let z be 2 - (-30)\/(-8) - -1. Let j be (-27)\/33 + (-1)\/(-1). Which is the nearest to s? (a) -0.3 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as -14.771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o - 312401 + 311617 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p + 116. Let t(c) = 6*c**2. Give w(t(k)).\nAnswer: 36*k**4 - 18*k**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 divided by -9?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342116534.\nAnswer: 2, 17, 89, 167, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 706*g - 4216. Determine k(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 519*n**3*z**3 - 6*n**3*z - 638*n**3 - 5 with respect to z.\nAnswer: 1557*n**3*z**2 - 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let k = 1 - q. What is the third smallest value in k, -0.4, 6\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/4))\/s**7)\/(s**(-1\/3)*s)**(-5\/12) assuming s is positive.\nAnswer: s**(-197\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -12)\/((-2)\/8). Let s be 6\/(-4)*b\/12. Suppose -s*v = -v - 76. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -27, -23?\n\"Answer: 4*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q - 2. Let m be b(3). Let g(l) = 737499*l**3 - 3*l**2 - l + 2. Let n be g(m). Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273309.\nAnswer: 3, 17, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(sqrt(119)\/(sqrt(7) - -2*sqrt(7)) + sqrt(170)\/(sqrt(10)*2)).\nAnswer: -3 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/7 + (4\/(-7))\/(426\/4473).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q + 5 = -5*d, -5 = 2*q + 5*d. Suppose 3 = 2*l - 7, -11 = -2*i - l. Determine t so that -2*t - t + 3*t**i + 0 + q + 3 - 3*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 14474893*r - 7237444*r - 7237446*r.\nAnswer: 3*r + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 41*z + 1 + 5.\nAnswer: -41*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415434 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1819.113 - 1820. Let t = -2.887 - s. Let y = -82 + 161\/2. Which is the nearest to t? (a) -2\/5 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5209253 is divided by 471.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1032*r**2*s**3 - 25*r**2*s**2 + 2*r*s - 4*s**2 wrt s.\nAnswer: -6192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 minus 0.16438956471?\nAnswer: 130.83561043529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -166*116\nAnswer: -19256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429240225?\nAnswer: 3, 5, 17, 61, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 654856 - 1234?\nAnswer: 653622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y + 30. Let x(i) = -7*i + 30. Determine 5*n(r) - 6*x(r).\nAnswer: 2*r - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c + 1. Let x(h) = -h**3 + h**2 - 3*h. Let d(k) = -2*t(k) - x(k). Let q be d(-2). Solve 8 = 2*b - q*b, 2*m - 4 = -2*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 29 (c) 4 (d) -1\/6 (e) -14 (f) 1\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35788896 > -35788896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*u + 560. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (45 + -4)) + (-385 - -402) + 0 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2)*-2 + sqrt(2) + sqrt(2) + 2 + 2)**2.\nAnswer: -64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*a = 116*a - 152 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/4 + t**3 - 3*t**2\/2 + 2*t - 3. Let l be q(2). Let z(j) = j**3 + j**2 - j + 5. Calculate z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/22 and 85\/170104.\nAnswer: 170104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2)*3\/6. Let b(u) = -5*u - 23. Let a be b(-5). Suppose 4*t = -k - 9, 9 = 5*k + a*t - q. Are 3 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(7) - sqrt(7)*4*-6))\/((sqrt(484)*2 - sqrt(4)) + sqrt(4)*2*3).\nAnswer: sqrt(3)\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 5*t + t - 2*t + 0*t + 4*t + t - 3*t + 0*t + (-2*t + 1 - 1)*(2 + 0 + 0) - 6 + 6 + 4*t as u*t + v and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**5 - 3*o**3 - o - 2. Let k(g) = -879*g**5 - 15*g**3 + 552*g - 10. Let f(q) = -k(q) + 5*v(q). What is the second derivative of f(c) wrt c?\nAnswer: 17480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 + -133. Suppose -37 = -2*v + l. Suppose -v = -4*z + 4. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t**2 - 5\/2*t**4 + 2*t**6 + 0*t + 6 - 4*t**3 + 34\/5*t**5. Let v(o) = 0. Calculate o.\nAnswer: -3, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 24. Let d be w(-9). Let v = d - -19. Find the first derivative of 39*k**4 - 47 - 5*k**4 - v*k**4 + 8*k**4 wrt k.\nAnswer: 104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/24 + 4*a**3 - 3*a**2. Let i be s(0). Suppose y = -2*t - 3*y + i, -5*t + 27 = -y. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 36 = 3*x + w, 0 = -w. Suppose 0*v = -3*v + x. Suppose -4*t = 2*j, -2*j - v*t + 7 = -7*t. Sort -3, -1, j in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 + 3*k - 1. Let l be n(-5). Let w = 9 - l. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156a1 (base 12) to base 16.\nAnswer: -7699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 475987346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than 990045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(308\/(-33))\/(-14). Solve w = 2*h, -4*h + 8*w = c*w + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -21?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 2141 (c) -0.01 (d) 7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3586971.\nAnswer: 3, 443, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snf when three letters picked without replacement from {m: 1, n: 2, f: 1, b: 4, s: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 8*g**2 - 11. Determine a(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*r + 1. Let k = 0 - -83. Suppose -3*t - t = -i - k, i + r = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 3*f)*(0 + f**2 + 0) - 2*f**2 + 2*f**2 + 2*f**3 + 4*f**3 - 6*f**3 + 3*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 481*z**4\/4 - 13*z**2\/2 + 7*z - 492. Find the second derivative of p(t) wrt t.\nAnswer: 2886*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.79601 months in millennia?\nAnswer: 0.0011496675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 5\/8 + -3. Let k = 0.095 + 4.805. Let g = k - 5. Put g, c, -3 in descending order.\nAnswer: g, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 95. Suppose 0*b = -3*s - 4*b + 27, 4*s - 2*b = n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3 - 2757*k**2*u**3 + 589*k*u**3 + k wrt k.\nAnswer: -18*k - 5514*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t - 1333771 = 1008608. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2, 5, 9, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**2 + s. Let k be (6\/8)\/(9\/6)*2. Calculate b(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 16*r**2 + r - 9. What is the remainder when 33 is divided by w(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20837 divided by 20837.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 + 10*y - 4*y**2 + 6*y**3 - y**4 - 8*y as v*y + w + s*y**3 + l*y**2 + g*y**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -5\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000439155852 to six decimal places.\nAnswer: 0.000439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2062 + -1566. Calculate the greatest common divisor of 24 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11 + 39 = 4*t, 2*a - 4*t = 0. Solve -b - 8 = -a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 4. Let h be t(7). Suppose -h*y - 3 = 2*u - 1, 4*u - 8 = -3*y. Which is the closest to -1\/4? (a) 1 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310736 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 307736 and 8547?\nAnswer: 239110872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35929051 is divided by 6184.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-3*-4 + (sqrt(1700)*3 - sqrt(1700))*3)**2.\nAnswer: 550800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -15, -127, -347, -711?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 3 = 0. Suppose -2*v = -w - 62 + x, 0 = 3*v - 5*w - 106. 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: Collect the terms in -893*s**3 - 247*s**3 + 3*s**2 - 2*s**2 - s**2.\nAnswer: -1140*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/168*6*(-16)\/(-9). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -2\/5 (c) -0.2 (d) 3\/2 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 81 - 13 = 0. Let o(r) = -r**3 - 18*r**2 - 16*r + 20. Let n be o(j). Solve -2 = n*b - 4*a - 13, -1 = 2*b - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10825785998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*j + 76 = 0, -254*a - 264 = -257*a + 36*j for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.255909 milliseconds in microseconds?\nAnswer: 2255.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2 - 663*b + 3390 = 0.\nAnswer: -226, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/c*c*c\/((c*c\/(c**(1\/7)*c)*c*c*c)\/c))\/(((c*c**3)\/c)\/c**(-1\/31)) assuming c is positive.\nAnswer: c**(-5088\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012004689 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 - 6*k + 2. Let d be (0 - -1)\/(-1 + (-35)\/(-28)). Let l be p(d). Solve 7*j = 2*j + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 111735*x**2 + 1117623*x + 1005885.\nAnswer: -3*(x - 37255)*(x + 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -45500451 (base 6) to base 16\nAnswer: -153dcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 483*f**2 + 111832*f + 341. Determine u(171).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(8)\/sqrt(4)))\/((1*sqrt(81))\/sqrt(9))*-1 - ((sqrt(768) + 0)**2 + sqrt(192)*-5)*-2.\nAnswer: -81*sqrt(3) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 139 = 16*p + 4*z + 54, z = -p + 4*p + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2*2\/48). Let b = l - 10. Solve 0*s + b*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 6 - 26 + 3*f**3 + 4 in the form q + t*f**3 + w*f + p*f**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6. Let n(m) be the second derivative of -m**3\/6 - 5*m**2\/2 + 8*m + 6. What is -6*n(x) + 5*u(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 5, b: 2, z: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u*x**4 + 4125172*u*x**3 - u*x**2 - 6338*u - 3*x**4 - 3*x**2 - 3*x + 7 wrt x?\nAnswer: 48*u*x + 24751032*u - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -58, -161, -336, -601, -974, -1473?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1628*l**3 + 10*l**2 + 81*l + 221. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k - 61. What is m(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (7 + (-138)\/24). Let j = 45 - 49.8. Let t = 0.2 - j. Which is the closest to t? (a) p (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 * -0.06\nAnswer: -0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(20)\/sqrt(20) + sqrt(4)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 357143.16 to the nearest 100.\nAnswer: 357100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 5*l)*(4 - 1 - 5) + 2*l - l + l + (-4 + 0 + 3)*(2 - 2 - l) - 26 + 26 - 8*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 + 203. Suppose 6*z = 4*z + n. Suppose w + 149 = 4*q, q - z = -5*w + 15. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.3 + 46. Suppose 3*o + 2 = i, 2*i + 5*o - 14 = 34. Let m be (i\/4 - 2)*(-22)\/(-165). Sort 1, j, m, -1\/3 in increasing order.\nAnswer: -1\/3, j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0035 + 0.6035. Which is the nearest to -35? (a) 0.4 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 184. Is l smaller than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 19*m**2 - m - 14. Let o be r(-19). Suppose 3*q - 151 = -5*x, -2*x - 286 = -o*q - 86. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:21 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 156*p**2 - 11*p - 11. Let v be (-1 + 0*(-1)\/(-5))*1*-22. Let k(u) = 31*u**2 - 2*u - 2. Give v*k(x) - 4*y(x).\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*g + 4*m + 3, 2*g - 3*m = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 68 = 3*c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -0.3, 1.9, 1.87, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -w - 2, 0 = -3*l + 5*w - 4. What is the smallest common multiple of 33 and (-2*l)\/(-4 - 30\/(-9))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120*0.3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 66*j - 32 + 0 - 75*j. Let l be w(-4). Suppose -4*s + 8 = 0, -5*z + 283 = -s + 65. What is the greatest common divisor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 6, 0, 2 in ascending order.\nAnswer: 0, 2, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = l - 46, -2*y - 2 + 22 = 2*l. Let s(j) = 3*j**2 + y*j - 9*j. Let r(c) be the third derivative of -c**5\/60 + c**2. Determine r(s(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77420526?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20730781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 21*v - 20. Calculate n(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6655831.\nAnswer: 7, 13, 73141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 22 + 92. Suppose -5*o + 22 = -r. Let d = o + 1. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 + 3*b**2 + 10*b**2 + 16*b**2 + 4*b**2 - 67*b**2 + 19*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 7 + 1. Let i be ((-195)\/18)\/(-5) + q. What is the smallest value in 0.3, -5, 0, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1138\/7 + -163. Which is the nearest to -2? (a) g (b) 5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*s - 12 = 54, 2*k + 51 = -s. Let y be k\/6*81\/(-9). Let z = 54 - y. Calculate the smallest common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 3, b: 4, c: 5, t: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x + 79*x**2 + 1 - 54*x**2.\nAnswer: 25*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22 and -12598.\nAnswer: -12620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90131 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25552 + -25551. Which is the second smallest value? (a) p (b) 4\/5 (c) -0.3 (d) -0.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 417*f - 37417. Determine y(90).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1274850 and -86\/11686125.\nAnswer: 70116750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/32 - -55\/96. Let g = -0.09835 - 4.90165. What is the nearest to u in 5, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 3 + 3)*(18*h**2 - 8*h**2 + 2*h**2) to i*h**2 + d*h**3 + j*h + o and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*l**4 + l**4 + 2*l**4) - 4*l**4 + 6*l**4 + 3*l**4 + (-4*l - 4*l + 6*l)*(4*l**3 - 4*l**3 + 3*l**3).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 13) in base 14?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*m - 2*x, 2*m + m = -2*x + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 54510100?\nAnswer: 54510041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(3\/(-66)). Suppose -773*s + 764*s = 90. Calculate the common denominator of l\/20*-86 + (-2)\/s and 51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406777 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 16*g**2 + 123*g - 1762. Give i(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-10) - 38\/(-4). Suppose x = -k + 2. Are k and -6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + p**2 + 2*p + 1. Let g be n(-1). Let s be (-15)\/g*4\/(-6). Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*n + 5*r + 3, 0 = 5*r. Suppose 0 = x - n - 6. What is the highest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, m: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 55*f**2 + 229*f + 437. Give d(-31).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3 - 13\/(-4)). Let x = c - 12. Let s be (-1)\/(-4) - (-7)\/x. Solve 0 = -s*v - 2 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12159 and -8.\nAnswer: 97272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-30)*(-69)\/46 + 312\/130. Solve -4*t = r + 27 - 22, -p*t = 4*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14748438, -29496921, -44245406, -58993893, -73742382, -88490873?\nAnswer: -103239366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 10123221212?\nAnswer: -10123221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 5*s = -r - 0*r - 7, -3*r + 18 = y*s. Calculate the highest common divisor of 40 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32445738 to the power of 1\/2, to the nearest integer?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 7. Let r be m(9). Let o be r + -4 + 6 + -2. Suppose -3*j = -o*j - 93. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/56*(-20)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/(-4 + 3). Let w be ((-2)\/(-3))\/(13\/(-3)). Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14850257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 129*j**2 + 144*j - 490. What is the derivative of v(l) wrt l?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 232 - ((-64)\/34 - (-8)\/(-68)). Let r = g + -1176\/5. Which is the third smallest value? (a) 2 (b) r (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 707 + -702. Put 2, o, -7 in descending order.\nAnswer: o, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4566*w**2*y**3 - 3238*w**2*y + w**2 + 67326*w*y**4 + 21377*w wrt y.\nAnswer: 27396*w**2*y + 807912*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.053856 times -779\nAnswer: -820.953824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -c971d (base 14) in base 6?\nAnswer: -14235011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - 0) + (33 - 42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - 2*j**2 + 8*j - 2. Let m be y(3). Let s be (-15)\/13 + (-16)\/m. Let h(o) = 12*o - 1. Give h(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/15593 - 997358\/1543707. Calculate the common denominator of o and 67\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-168)\/(-91))*-6. Suppose -l + 6 - 5 = 0. Let q(t) = -13*t - l + t + r*t. Determine q(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13292.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -766 and -14792.125.\nAnswer: -15558.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 159 = -6*h + 3*m, -2*m = 4*h - 212. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3323519864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t + 274 - 3*t - 2*t**2 - 4*t**3 + t + 4*t**2 as j*t + h + z*t**2 + v*t**3 and give h.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxh when three letters picked without replacement from {l: 3, h: 3, e: 5, x: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.774198l to millilitres.\nAnswer: 7774.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -4, -17456, -16 in decreasing order.\nAnswer: 5, 0, -3, -4, -16, -17456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-62 - -33)) + 17 + 38\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/84*(16\/(-12))\/((-14)\/(-231))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/116?\nAnswer: -39\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -57*w**3 + w**2 - 1. Let f be p(-1). Suppose 0 = 2*t - f - 53. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 5*s = 3*z - 275, 194*s - 197*s - 177 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**4 - 3125062*g**3 - g**2 + 556*g - 1159?\nAnswer: 144*g - 18750372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -981493.3 rounded to the nearest one hundred?\nAnswer: -981500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -945880 and 31.2?\nAnswer: -29511456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 2*q - 1. Let o be c(-1). Is o at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/10)*k*k\/(k*k**(-5)))\/(k**(-2\/5)*k*k)**(-12\/11) assuming k is positive.\nAnswer: k**(973\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -299\/5224?\nAnswer: -299\/5224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*5\/2*(-226)\/(-2076375)*-49\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**16\/i)\/i)\/i)*((i**5\/i)\/i*i)\/i*(i**(-8))**(18\/11))**(-38) assuming i is positive.\nAnswer: i**(9234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -45. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:52 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3268512 and 22464?\nAnswer: 6537024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 51 = -3*m, 2*m + 17 + 89 = 2*c. Let n(d) = c*d**3 - 8*d**2 + d**2 - 11*d + 4 - 55*d**3. Let q be n(-5). Solve -q = 4*k - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011000110 (base 2) to base 4\nAnswer: -103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:10 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 172*i + 24. Let w be d(12). What is the greatest common factor of w and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*v + 5*v = 15078, -k = 5*v - 15066. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531*g - 538*g + 182371 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:02 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7. Suppose 11 = 4*q - t. Let s be (0 - 1*-2) + 0. Solve s + 1 = -q*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3268a8 (base 11) to base 3.\nAnswer: 222111101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 13) in base 4?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 + 17*v**2\/2 + 392*v. Calculate m(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -7) + 5 - (-16 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -936. Suppose 185 = -8*z + h. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.995 + -5.\nAnswer: -5.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 + 3)*(-19 + 19 + 7*d) + (3 + 2 - 3)*(-4 + 4 + d) in the form k + q*d and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/9 (c) -8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 9*j + 4. Let w be b(-8). Let x be (72\/15)\/w + 1. What is the second smallest value in -2, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 307673, -11 in descending order.\nAnswer: 307673, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 211. Suppose -d*k + 49*k + 562 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/62 and -79\/6406.\nAnswer: 198586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 10 = -3*s, 0*c - 2*s - 2 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -712791 divided by -237597?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -350*r**2 + 17175*r - 31. Give d(49).\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1637*o**3 - 1877*o**3 + 5489*o**3)*((-1 + 3 + 1)*(0*o - 4*o + 5*o) - 4 - 2*o + 4).\nAnswer: 1975*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/3 + 2116*j\/3 + 706 = 0. Calculate j.\nAnswer: -1, 1059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hph when three letters picked without replacement from {p: 3, h: 3, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5613053875.\nAnswer: 5, 11, 13, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17319297 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from ssshsszsszsh?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2576 and 6079889?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, -u = -s - s - 56. Suppose -2*q + 3*b + 17 - 40 = 0, -3*q = -2*b + 27. Let l = q - s. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42413278 divided by 20569\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 59055?\nAnswer: 14\/59055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Let p = 6\/611 - 665\/5499. What is the closest to -1 in p, -2, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66 and -0.51?\nAnswer: 66.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 15. Let j be u(-29). Let g = j + 111. Solve 2*h - g = -2, -2*q - 5*h = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (65\/(-5) - 1 - (-45 - -26)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/10)\/(7\/(-35)). Solve 3*j + 9 = -3*h, h + q = -5*j - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2206\nAnswer: -2\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = -87. Solve 3*a - 5 = 4*a - 3*l, -q = 5*a + 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -10\/9 (c) -2 (d) -5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 5*j**2 - 3*j + 10. Let z be l(4). Let o = 86 - z. Calculate the remainder when o is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*b - 193*b + 99*b + 2*b**3.\nAnswer: 2*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = 3*k, -2*c - 4*k = -k + 14. Let v be (3 - c) + (-4)\/4. Suppose -2*u = -v - 3. Put u, 4, -3 in ascending order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, x: 3, j: 1, s: 3, i: 1, z: 2}. Give prob of picking 1 i, 1 z, and 1 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*l - 3, 0 = -0*s - 4*s - 3*l - 7. Let a(i) = -4*i**3 - i**2 - i - 1. What is a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/36 - (1 - 0) and 1976\/(-608)*(-6)\/(-10).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Let q(s) = 11*s - 36. Let j be q(4). Suppose -j*b + 925 = -u*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9328111549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 - 1446*r**2 - 57792*r\/5 - 115552\/5.\nAnswer: -(r + 4)**2*(r + 7222)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-77)*35\/10 + 4\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k - 3*k. Suppose 5*a = -k*a - 270. Let l = 58 + a. Solve x = l - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/21 and 44\/38643831.\nAnswer: 270506817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8 - -8) + -15)\/(9\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11016343 and -11016343 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 28*w**2 + 12*w - 70. Let i be g(8). Suppose 2*n - 568 = i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -10 - 25. Let u be (-145)\/(-58)*(-596)\/m. Suppose 3*s - u = 224. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = 2*j. Let a(v) = -v - 3. Let h be a(j). What is the third derivative of 3*t**2 - 3*t**6 + h*t**6 - t**6 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*g**2 - 4*c*g*t - 17*c*g - 2*c*t + 2*g**2*t + 7*g*t - 2*g + 270*t wrt c?\nAnswer: -g**2 - 4*g*t - 17*g - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d + 9. Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.393907 rounded to 1 dp?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -21. What is the smallest common multiple of 3 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14987, 14988, 14989, 14990?\nAnswer: 14991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 6. Let a = 25 - 14. Let r(f) = f - 2*f + 11 + 2*f + f. Let o(x) = a*y(x) + 6*r(x). Let v(d) = -4*d**2. Determine v(o(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49799\/4 less than 12450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*t - 58, 0 = 5*y + 2*t - 7*t - 75. Calculate the lowest common multiple of 6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 19. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4887669 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117003969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 3486931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**3 + 467*w + 42049 wrt w.\nAnswer: -9*w**2 + 467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2955 and 67672455?\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810 = 8395*n - 8365*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -175*j + 15. Let g(c) = -350*c + 29. Let m(a) = 4*g(a) - 7*u(a). Let p be m(-5). Is (2 - -1)*p\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244019.498 rounded to the nearest 10?\nAnswer: -244020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (513\/95)\/(-9) + 7\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - t**2 + 1. Let y(x) = -x**3 - 3*x**2 - x + 3. Let a(h) = -2*v(h) + y(h). Determine a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:17 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 34. Let h be w(-15). Let v(c) = -3*c + 2. Let d be v(2). Let u = d + h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4410 and -37\/6860?\nAnswer: 61740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 269\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1453\/41, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsqzjfb. What is prob of sequence bzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 21*f + 4 - 4. Let l(p) = -10*p + 906*p**2 + 907*p**2 + 11*p - p - 1814*p**2. Calculate n(l(k)).\nAnswer: 3*k**4 - 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/11, 0, 12.5871, -0.2, 1.\nAnswer: -0.2, 0, 3\/11, 1, 5, 12.5871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -p, -27*x + 15*x + 178 + 1 = -p for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4104 (base 7) in base 2?\nAnswer: -10110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(8)*-3 + -4*sqrt(8)*-1)\/(sqrt(64) - (2*sqrt(64)*-1 - sqrt(64))).\nAnswer: -7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 3*i**3 - 2*i**3 + (4 - 6 + 13)*(4*i**2 + 2*i**3 - 4*i**2) + 26*i - 26*i - 2*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let v(j) = -32*j**2 + 4. Let l(d) = 63*d**2 - 7. Let w(c) = -4*l(c) - 7*v(c). Determine p(w(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((30 - 24)\/((-16)\/(-2)))\/(2\/8). Solve y*n - 4*t + 409 = 422, 5*n + 3*t = -17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 5)*(1 - 1 - 1)*(1 + 3*o**2 + 1 + 1)*(5 - 5 - o**2).\nAnswer: 18*o**4 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v\/v**(-2\/27))\/(v**(-2\/3)*(v*v**7*v)\/v))**(-25) assuming v is positive.\nAnswer: v**(5575\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*w**2*x - h**3 - 4949266*w**2 - 14645074*x wrt x.\nAnswer: h**3*w**2 - 14645074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 235166 (base 8) to base 7\nAnswer: 453462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6602001\/62 - -106484. Find the common denominator of ((-28)\/(-8))\/(5\/(-14)) and r.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x - 41*x**3 + 0*x**4 + 227\/30*x**6 - 13 + 0*x**5 + 0*x**2. Find the second derivative of d(t) wrt t.\nAnswer: 2724*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j - 4. Let n(u) = 26*u - 1268. What is the least common multiple of n(50) and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, n: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l = -104*l + 12750. Solve 0 = -5*v - 10*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446 a factor of 320450432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2452431 + 8948735 = 14*h - 1021496. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5086*w**2 + 1289*w - 644*w + 1 - 645*w + 4685*w**2.\nAnswer: 9771*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1130 - -11221?\nAnswer: 10091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k = b - 7, b = 5*k - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14)*7\/2. Suppose l*t + 2*w - 25 = 3, 24 = t + 3*w. What is the remainder when 34 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (17 - (7 + -12) - 8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - 99.9. Let f = t + 101.95. Put 1\/2, -1, f in decreasing order.\nAnswer: 1\/2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3051025 from -102156.\nAnswer: -3153181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2402497307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*m - 100*m - 226 = 0. Let z = 457\/4 - m. Let h = -34235\/12 - -2842. What is the common denominator of z and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let y(o) = -o**3 + 3*o**2 + o + 68. Let d be y(0). Let q(s) = -6 + d*s - 22*s - 30*s - 22*s. Calculate q(t(l)).\nAnswer: 12*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -43120000 to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3577592 is divided by 3673.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 greater than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 228809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17822 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 42*o**2 + 17. Calculate x(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 13c96?\nAnswer: 13c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22024913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18*o + 3. Let i(f) = 27*f - 5. Give 5*i(t) + 8*u(t).\nAnswer: -9*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-298681780)\/18 - 4\/18. Let h = g - 11213429. What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2987 + 2976. Which is bigger: -145 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 15 = -5*w, 0 = 5*w - 6 + 1. Is 3 a factor of (m\/(-35))\/(2\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**9))**4)**(-36) assuming z is positive.\nAnswer: z**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 914125175 * 0.3.\nAnswer: 274237552.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = 5*j. Let r(n) be the first derivative of 0*n - 3\/10*n**4 + 2\/25*n**5 + 2\/5*n**3 - 1\/5*n**j - 2. Let r(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22864 + -503115\/22. What is the common denominator of d and (-9)\/(-6) - (-1)\/(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 137*g = -99 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 j when three letters picked without replacement from esjnjnjneepsnnpensne.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16159033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1188.6485 to 1 decimal place.\nAnswer: -1188.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10 - 9*j**2 - 5 - j + 18. Let v(u) = 13*u**2 + u - 4. Let k(q) = 73*q - 153. Let f be k(2). What is f*d(z) - 5*v(z)?\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/5, 0.2, -1\/4 in decreasing order.\nAnswer: 2, 0.2, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2. Let c(y) = -11*y**2 + 7*y + 7. Let g(s) = 5*s**2 - 3*s - 3. Let r(k) = -3*c(k) - 7*g(k). Determine r(l(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 68. Suppose w + 5*f - 645 = 0, -h*w - 3*f = 554 - 2489. Let o = -3192\/5 + w. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4, r + u - 5 + 0 = 0. Let j(k) = -4*k + r - 7. Let f(i) = 4*i + 24. Let a(t) = -t**2 - 10*t - 60. Let d(o) = -4*a(o) - 10*f(o). Give j(d(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33594 or -39611?\nAnswer: -39611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-7\/5)\/x*x))\/x)\/(x\/(x**(3\/5)\/x)) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -20*p + 150. Let u be r(5). Suppose -b - 4*f + 40 = b, -20 = -4*f. What is the highest common divisor of u and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -4, -54, 7 in decreasing order.\nAnswer: 7, -4, -5, -8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 8*d + u - 313, 5*d - u - 1535 = 0. Suppose -55*r - d = -57*r. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 35*d**2 - 79*d - 114. Let j be q(-37). Solve 15*x + j = -4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/88 and (3 + (-5144)\/1664)*30\/(-3).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 3) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -15 + (-2 - -1) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*a**3*n*s**2 + 3*a**2 - 5*n*s**2 - 8*n wrt a.\nAnswer: -474*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*u**2 - 37*u**2 - 22*u**2 + (-7*u - 48 + 48)*(2*u + 4*u - 4*u))*(2*u**2 + 5*u**2 - 5*u**2) as v*u + s*u**3 + g*u**2 + k*u**4 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k + 8. Let v be j(4). Let g = v - 6. Solve -g*a + b - 5*b + 12 = 0, -23 = 2*a - 3*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(1\/56)*m**(1\/5)*(m*(m**(-16)*m)\/m*m*m)\/m assuming m is positive.\nAnswer: m**(-11597\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35710*o**2 - 96282*o.\nAnswer: -71420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.4 (c) -149\/7 (d) 0.44 (e) -67 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 1 - 3*l + 4 - 2*l**2 - l**3. Let n(k) = 3*k**2 - 6*k**3 - 3 - k + 1 + 5*k**3 + k**2. Let a be n(3). Give u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2\/(-4) + 60995\/22 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 8, k: 1, m: 2, i: 1, f: 1}. Give prob of picking 1 f, 1 i, and 1 j.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0306705 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 5*n + y, 2*y = -8. Let q(c) = -c**3 - c**2 + c + 4. Let h be q(n). Suppose 78 = 5*b + h*d, 3*d - 6 = -2*b + 28. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/56)\/(138\/184))\/((-27)\/(-63)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287*n**4*r**3 - 845*n**4*r - 192*r**3 + 20*r**2 + 8*r wrt n?\nAnswer: -1148*n**3*r**3 - 3380*n**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -40. Let q(s) = 58*s**m + 56*s**3 - 113*s**3 + 14*s + 10*s**2 - 11 + 2*s. Is q(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 6 - 5, 2*b + 0*b - 4*j - 38 = -0*j for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24592 - 2366833?\nAnswer: -2391425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.3106 + 0.7006. Let w = f - -37. What is w rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -18. Let q = i - -301. Calculate the greatest common divisor of q and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189\/148 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b - 2*k, 3*b = -k - 20. Let w = b + 9. Solve -w*j + 4*r = 2*r + 4, 0 = 5*j - 5*r + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Let b(j) = 14*j. Let l(p) = -2*p. Let a(d) = 2*b(d) + 18*l(d). What is a(q(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -57, 2 in descending order.\nAnswer: 6, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6 + 4 + 1 - 6*x + 0*x. Let p be c(-6). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7466917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31604 by 15802.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.26 (c) 1\/4 (d) 0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 + s**5 + 5*s**5 + s**5 - 4*s**5 + (2 - 1 - 2)*(s**5 - 5*s**5 + 2*s**5) + 5*s**5 - 12*s**4 + 12*s**4.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:17 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/9 - 94*s**2\/9 - 40*s\/3 + 128 = 0. What is s?\nAnswer: -4, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -5*sqrt(204)*2 + (4*((sqrt(204) - sqrt(204)*-1 - sqrt(204)) + sqrt(204)) - sqrt(204)))\/(sqrt(96)\/(sqrt(32)\/sqrt(4))*2)*-6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016194543 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*y + 2, -6*j = 5*y - j + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - -2*(sqrt(95) - sqrt(95)*1))\/sqrt(5)*-1.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -21 - 3. Suppose 9*d = c*d - 6645. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213 = 2*z - x, -4*x - 539 = -z + 50. Let b(o) = -3*o + 15. Let d be b(-9). Calculate the greatest common factor of d and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.012 * -39657.\nAnswer: 357388.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425))**2*-2 + -1 + ((sqrt(2057) - (sqrt(2057) - (sqrt(2057) + ((2*sqrt(2057) - sqrt(2057) - sqrt(2057)) + 0 - sqrt(2057))))) + 2)**2.\nAnswer: -855 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141801603.57 - -2.1\nAnswer: -141801601.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 7*s - 9. Let z be j(3). Solve -8*b = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -2. Suppose -4*d - o + g + 44 = 0, d + 4*o - 27 = 0. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*h**3 + 90*h**3 + 0*h**2 - 1 - h - 14*h**4 - h**2 in the form g*h**3 + v*h**4 + o*h**2 + l*h + c and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-20))\/(9\/5). What is the closest to g in 0, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 1, v: 1, q: 1, l: 1, g: 1}. What is prob of sequence bq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 + a**4\/2 + 4*a**3\/3 + 2*a**2 + a. Let w(o) = -1164*o - 5. Let f be w(0). What is u(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -18*b - 5*j + 293, 0 = -4*b + 4*j + 444. Solve -31*u = b + 80 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 25. Let r = -3310 - -3321. Calculate the remainder when a is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 60 = -83*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26133845.4 nanoseconds in days?\nAnswer: 0.0000003024750625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1075 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/12 - n**3 + 11*n**2\/2 - 258*n. Suppose -g + 24 = 3*g. What is the lowest common multiple of 9 and t(g)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17909487, 17909483, 17909479?\n\"Answer: -4*p + 17909491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411621341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.9. Let l(r) = r**2 - 17*r - 6. Let k be l(10). Let j be (-6)\/(-10) + k\/60. What is the third smallest value in f, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*(-2)\/(-4))\/(168\/336). Solve -w*m = -4*b - 4, -2 = 3*m + 3*b + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let r = p + 2. Which is greater: r or -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682785 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -4, 304, 5.\nAnswer: -4, 1, 5, 6, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)*f*f**(3\/5)*(f**(-1\/2))**13*((f\/(f*f**(-1\/13)))\/(f*f\/(f\/((f**(2\/3)*f)\/f)*f)))**(13\/5) assuming f is positive.\nAnswer: f**(-211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3630832 and 4.\nAnswer: 3630832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30814 or 10?\nAnswer: -30814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10016731 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 391639\/30 + -13058. Let z = -302098\/15 - -20142. Find the common denominator of d and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 - 70*r + 27. Does 8 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 7*c. Let z be s(6). Let d = -5 - z. Solve w - d = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 27. Let l be s(-14). Suppose t + l*t = 32. Factor 5\/8*x**t + 7\/8*x + 1\/4.\nAnswer: (x + 1)*(5*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 8408*x - 8409*x - 9*x**2 - 56 + 4*x**3 + 9*x**2.\nAnswer: 4*x**3 - x - 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 251, 375, 499, 623?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + b**2 - 2*b - 7. Let k be p(0). Let n be ((-12)\/k)\/(47\/(-329)). Let h(j) = -2*j - 26. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Suppose -2*l - 2*r = -w - 0, 3*l + r - 6 = 0. Suppose 1021*z + 12 = 1024*z. What is the lowest common multiple of z and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.15 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 22*y**2 + 18*y + 15. Calculate l(-21).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -36. Let b = v + 65. Solve -w - 3 + b = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 - 9614908*s**3 + 365370836*s**2 - 3471036660*s = 0. Calculate s.\nAnswer: -2403765, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4151, -16234, -36249, -64202, -100099?\nAnswer: -143946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(17) + (1*sqrt(17) - sqrt(17)) + sqrt(17) - (sqrt(153) + -4)) + (sqrt(119)\/(sqrt(7) + 1*sqrt(7)) - (sqrt(272) + 0)))*1)**2.\nAnswer: -45*sqrt(17) + 1477\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose -3*d + 185 = 5*j - j, l = -4*d + 2*j + 232. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88254219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16247374.\nAnswer: 2, 11, 13, 56809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Let r = 5 - y. Suppose -d - 5*n + 45 = r, -5*n + 157 = 3*d - n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 7 + 9)*(-2 + 2 + o)*(-2 + 0 + 6)*(-o + 0*o + 0*o - 3*o + 5*o - o + (-2 + 2*o + 2)*(-1 + 1 - 1)).\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)*m**7*(m*m\/(m*(m\/(m\/(m\/m**(-2\/9))))\/m))**(1\/5) assuming m is positive.\nAnswer: m**(3632\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) -496 (c) -43 (d) 12 (e) 5 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 + 20*t\/7.\nAnswer: -t*(t - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44088919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5791159 hours in seconds?\nAnswer: 2084.81724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1996 - 2000. Let g be 160 - (6\/(-2) + 1). What are the prime factors of (-750)\/(-7) + n + g\/42?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10145081397 and 2.21.\nAnswer: 10145081399.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.6 millilitres in litres?\nAnswer: 0.0536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 4.9. Let j = -1\/6 - -1\/2. Which is the third biggest value? (a) v (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*j - 48 = -246*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 152859\nAnswer: 1\/50953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {z: 2, e: 1, v: 4, a: 1, k: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Let n(y) = -u*y + 2*y - 4*y**2 - 3*y + 8*y**2 + 5. Let r(o) = 11*o**2 - 14*o + 14. Determine 8*n(q) - 3*r(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 183 = 3*c. Suppose 2 - c = -u. What is the remainder when u is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlvvllvzl. What is prob of sequence zvl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 52*q - 3. Let v(d) = -469*d + 28. Calculate 28*m(n) + 3*v(n).\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816645147.\nAnswer: 3, 53, 503, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 21*i + 75 - 12 + 26 = 0, 3*y + 2 = -y + i - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + 18*m**2 - 6*m - 10. Give p(9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 - 8*g**3 + 1\/2*g**4 + 14*g**2.\nAnswer: g**2*(g - 14)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5854 and 94.\nAnswer: 275138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 + 8*n**2 + 8*n + 8. Suppose 2*f - 4*x = -36, -3*x = -6*x + 15. Let q(c) = -4*c**3 + 3*c**2 + 3*c + 3. What is f*q(w) + 3*y(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -20. Suppose -4*u = 5*t - 16, 0*u - 4*t = -2*u + h. Calculate the remainder when 33 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328*z**2 + 5148*z + 4820.\nAnswer: 4*(z + 1)*(82*z + 1205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6200.75cm to kilometers.\nAnswer: 0.0620075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 16*k. Let n(y) = 74*y**2. Determine n(p(b)).\nAnswer: 18944*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7113 - -7113. Let n(s) be the third derivative of r*s**3 - 3*s**2 + 0 + 0*s + 1\/3*s**5 - 9\/8*s**4. What is the second derivative of n(i) wrt i?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900956 and 5386042.\nAnswer: 32316252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -854*l - 6261. List the prime factors of f(-69).\nAnswer: 3, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -140*k**2 + 1025*k - 17. What is x(8)?\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 30 = 11*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13089383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8283202?\nAnswer: 2, 19, 217979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 64 - 48 = 0. Sort 2, -2, -3, v.\nAnswer: v, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 + 25. Suppose -r - w = -2*d, d - 68 = -0*d + 5*r. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463813727.\nAnswer: 13, 35677979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -288\/7*r**2 + 20\/7*r**5 - 28*r**3 + 144\/7*r + 32\/7*r**4 + 0 = 0.\nAnswer: -3, -2, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9207852.6 to the nearest one hundred thousand.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-8 - (16 - 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -6) + (-4 - 6*-1). Let z(x) = 1. Let d(j) = -2*j**2 + 4. Calculate i*z(u) - d(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32030? (a) -1\/5 (b) 0.1 (c) 3\/8 (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuwtw. Give prob of sequence uwu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 3456570?\nAnswer: -3456546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/60 + y**4\/24 + y**3\/6 + 18*y**2 - 24. Let a(f) = 2*f**2 - 2*f. What is -2*a(z) - 3*c(z)?\nAnswer: -z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26390, -53087, -79784, -106481, -133178?\nAnswer: -159875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38466880, 38466865, 38466834, 38466781, 38466700, 38466585, 38466430, 38466229?\nAnswer: 38465976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2306, -2319, -2354, -2423, -2538, -2711, -2954, -3279?\nAnswer: -3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and -16\/102309?\nAnswer: 1432326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = h + 4, -h = -2*r + 7. Let l(y) = 2*y**2 + 10*y + 12. Let q be l(-4). Let f = h + q. Solve -4*a = -0*a + 3*i - 4, -f*i = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47998 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((3*sqrt(76) - sqrt(76)) + sqrt(76)))\/(-4*sqrt(20)\/sqrt(5)).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*v - f - 2*f, 4*v + 2*f = 104. Suppose -v = -7*k - 6*k. Find the first derivative of -7*a**k - 15*a**2 + 44 - 25*a**4 + 22*a**2 wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, 5*g = -3*l + 5*l + 475. Calculate the remainder when g is divided by (6\/(-4))\/(105\/(-1750)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 36*x = 220 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - w - 12 = -2*z, -4*w + 2*z - 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000269003225 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*(3 - -43). Let y = -98 - z. Let q = y + 36. Calculate the greatest common factor of 14 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 22974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 + 2)) + 31 + -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {n: 1, i: 7, z: 1, h: 2, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -4\/5, 4 in descending order.\nAnswer: 4, -1\/20, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 4047459*f\/2 - 16381924356681\/4.\nAnswer: -(f + 4047459)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*l**2 + 212 - 98 - 2*l - 107 + 2*l to o + r*l + y*l**2 and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84389 + -3611. Round o to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1239 = d, -90*d = -88*d + 2*r - 2454. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-288)\/(-27)*3\/2. Let d = f - 3. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 40 = -8*z + 7*z, -2*z = -r - 10. Put r, -5, -39 in descending order.\nAnswer: -5, r, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 913857?\nAnswer: 1827714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x + 2*x, 5*f = -x - 20. Let y = f + 14. Let q(r) = -20*r + y*r + 10*r. Let g(b) = -b. Calculate g(q(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7798 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-720)\/(-688) - (164\/(-172) - -1). Let x(r) = -r + 1. Let k(y) = 3*y - 6. Let h(m) = -3*m + 7. Let f(b) = -4*h(b) - 5*k(b). Give a*f(j) - 4*x(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5072372 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u + 3*u)*(268 + 77*u**2 - 268 + (-u + u - u)*(-3*u + 2*u - u)).\nAnswer: 158*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 11*f**2 + f - 8. Let l be x(10). Suppose 3*g + 573 = -l. Let k be (-870)\/g + 4\/30. Solve -5*r = -k - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*m = m + 23142, -34757 = -3*s + 5*m. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 - 3*z**2 - 3*z - 3. Let y(t) = -t**3 + t + 1. Let v(f) = -l(f) - 3*y(f). Find the third derivative of v(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1040 - -1039.7. What is the second biggest value in h, -4, 0.11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171023009 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, 2*c - 14 = -4*w + c. Let p be (w - 2)*-2 - (-8)\/4. Solve 3*h - 4*h - 5*t = -23, -t + 4 = p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6015*s + 547531. What is t(-91)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from ffaffafafffffa.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14002850 is divided by 683.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -658\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44663, 44667, 44669, 44669, 44667, 44663, 44657?\n\"Answer: -y**2 + 7*y + 44657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 144*r**3 + 39168*r**2 - 10088*r - 2236. Let t(p) = -289*p**3 - 78337*p**2 + 20176*p + 4471. Let n(g) = -9*q(g) - 4*t(g). Find d, given that n(d) = 0.\nAnswer: -280, -1\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -717 - -2548?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -56, -2, 4, 3 in descending order.\nAnswer: 4, 3, -2, -3, -15, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 3. Let d be x(-3). Solve u = -2*u - d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30113 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*c**3 + 20*c**3 - 18*c**3 - 9*c wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 4, c: 3}. What is prob of picking 1 e and 3 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*b + 14, 3*c - b = -0*c + 29. Find the first derivative of c*f**3 + 14 + f**3 + 4 wrt f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6378 to 2 decimal places.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 111303 (base 4) to base 16\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-26) + (-220)\/(-416) + (-88)\/320\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5*(-15)\/(-6))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.09 + -2.12. Let k = m - -1.53. Let p = 1\/21 + 9\/7. Which is the nearest to 1\/3? (a) k (b) p (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -525 (b) -2\/9 (c) 0.2 (d) -0.5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/70*(-3)\/((-24)\/20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20402990\/9 or 2266998?\nAnswer: 20402990\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1490*d - 50391. What is the remainder when r(34) is divided by (12\/16)\/(2\/120)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 - (38 + -17 + 25).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*n + 35 = 6*u, n = 5*u - 175. Suppose -z + u = 8. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 + 33*l**3 - 93*l**2 + 91*l - 30 = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*j + 29, 15 = -10*f + 5*f - 5*j. Let a(x) be the second derivative of -3\/2*x**f + 0 - 2*x - 1\/4*x**4 + x**3. Factor a(p).\nAnswer: -3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 9*t**2 + 10*t + 4. Let i(v) = 26*v**2 + 29*v - 5*v**3 + 9 + 10 - 6. Let x(j) = 8*h(j) - 3*i(j). Give x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1278000 to the nearest ten thousand.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*(-7868)\/(-21). Round w to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101222 (base 3) to base 12\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1073079*v**2. Let w(p) = -24*p. Give w(q(c)).\nAnswer: -25753896*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -0.3 (c) -0.5 (d) -0.212 (e) -0.2 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -21 + -3 + 12 - -24.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + 90. Solve -12 = 141*o - f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 5*v**2 - 4*v - 3. Suppose -149 - 307 = -107*g - 135. What is r(g)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Calculate ((-4)\/22)\/((-258)\/28380).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/3 + 3001*o\/3 + 71248 = 0. Calculate o.\nAnswer: -2928, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + 4 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 4*x + 360. Suppose -45*w + x = -37*w. Is 81\/13 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-10))\/((-1)\/(-1))*1. Factor f + g + 1\/2*f**2.\nAnswer: (f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 12944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i**2 + 7*i**2 + 7*i**2)*(-2 - i + 2 + (-4*i - i + 7*i)*(1 + 0 + 2)) to j*i**3 + t + n*i**2 + p*i and give j.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2588446 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1863292*s**2*z - 62*s**2 - 11*z + 3859853 wrt s.\nAnswer: 3726584*s*z - 124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 3*p**2 - 3*p**2)*(8 - 2 + 4)*(-7 + 7 - p - 2).\nAnswer: -10*p**5 - 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/102*(-88)\/154?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*i + 124, 5*l - 164 = -0*l - 4*i. Let a(m) = 2*m - 18. Let p(y) be the first derivative of y - 8. Give l*p(r) + 2*a(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10325 - 10235. What is the highest common factor of 650 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w - 161*w = -232 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2\/9, -18350, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 19383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/271636 and 3\/5025266.\nAnswer: 10050532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - -0.02. Which is the closest to 0? (a) 2\/3 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 5*d - 5. Suppose 2*t = 7*t + 25. Let z(b) = -3*b**2 - 8*b - 8. Calculate t*z(i) + 8*u(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (1 - 0)*-2. Let i = -12 + 27. Solve -o*b - i = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372696 is divided by 607?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 37, 54, 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -169. Solve 4*s - v = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*u - 36 + 36 + 0*u + 10*u - 2*u + 2*u + 0*u - u + 6 - 6 + 3*u + (-1 - 2 + 5)*(u - 6*u + 3*u) - 3*u - 2*u + 3*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1\/(-20) + 42\/(-35). Suppose 0 = -3*k + 12, 2*h + 4*k + 0 = 30. Let v be (6 - h)*(-3)\/21. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5169143 is divided by 532?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 25 (c) -2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2572 + -123?\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92611 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1\/4, -0.2.\nAnswer: -32, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (55\/(-77) - (-15)\/((-2205)\/(-1036)))?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -18 (b) 0 (c) 2\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*h**3*l**2*u + 51403*h**3*l*u + 3*h**2*l**2 - 444*h**2*l - 5*h*l**2*u - 2*h*l**2 - 6*h*l + l**2*u wrt h.\nAnswer: 186*l**2*u + 308418*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f**2\/4 + 14*f - 4 = 0. What is f?\nAnswer: 4\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {y: 9, x: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(5\/2166) - 96\/480 and 10.\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 252*p + 1 + 1 + 1 + p**3 + 2*p**2 - 251*p in the form a*p + f + d*p**2 + h*p**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2758564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -6 - (0\/1 + -1). Find x, given that 21*x**3 - 21*x**3 + 3*x**5 + 2*x**5 - 10*x**t = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y - 280*y + 68*y - 6 - 234*y + (2*y - 4*y + y)*(0 - 1 - 1) to n*y + z and give n.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 4*r**4 + 4*r**3 + 2*r**2 - 5*r + 2.\nAnswer: (r - 2)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from hmc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*q + p, 5597*q - 5596*q = -4*p + 10 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2957 and 125\/6.\nAnswer: 17742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321 + 121130?\nAnswer: 113203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 9*l - 5478912. Is -2 + (-22)\/(-14) - l\/84 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 72 and -2060393916.\nAnswer: -2060393844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*i + 505 + 2398 + 1201 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21147.\nAnswer: 3, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/4*(-468)\/(-27). Let b be (o\/(-10))\/((-8)\/(-40)). Suppose -4*z = -z - b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -341 (b) 1 (c) -2.3 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**2*s**2*u + 3*o**2*u - o*s - 14*o*u + 140*s**2*u - 1 wrt s?\nAnswer: 4*o**2*s*u - o + 280*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185a + -8a7?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.0722 to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/577458 and 103\/4330935.\nAnswer: 8661870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 3*c, 2*h + 3*c = 4*c + 7. Let q(n) = n**2 + 5*n - 2. Let z be q(-6). Solve h = -b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drsddddsssdsrsds. Give prob of sequence dd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/4 - 8*u**4 + 369*u**3\/4 - 925*u**2\/2 + 979*u - 726 = 0.\nAnswer: 2, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 4. Let x(c) = c - 16. Let h be x(12). Let i = h + 8. Let w be k(i). Are w and -4\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**10\/18900 + a**6\/36 - 11*a**5\/60 - 18*a**2. Let t(s) be the third derivative of v(s). Differentiate t(y) wrt y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, -8*m - 378*w + 8 = -374*w. Let l(d) = 34*d**2 - 2*d + 1. What is l(m)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/209378 and 41\/2464218.\nAnswer: 32034834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(((-15)\/12)\/5). Suppose -l + x*l - 3*u - 101 = 0, -2*u - 453 = -5*l. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 104 = 5*u + j, 0 = 4*u - 3*j - 87. Let t = u - -114. Calculate the greatest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - 5\/((-15)\/3). Solve -3*y + 5*y - f = -12, 5*f = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.014352 + 0.044352. Let g be (-6)\/40 + 2\/8. Which is the third biggest value? (a) p (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 3090?\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -25*k - 29. Let h be (600\/k)\/(4005\/(-2000) - -2). Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/27 - 1007\/3. Let d = f + 336. What is the third smallest value in -0.4, -3\/4, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 345*x**2 - 7*x - 6. Is h(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.74 + 1.18. What is the biggest value in 2, z, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*j + 23 + 9, 0 = 2*y - 3*j - 10. Let d = y - 23. Let i = 16 + d. Solve -4 = n + i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-93)\/3)*1. Suppose -2*u + 22 = 3*f, 2*u + n = 4*f - 17. Solve -2*q + 0*q = -f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -5*d - 6. Let f be 2\/(d + (-6 - -4)). Solve a = f*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.514436 millennia to years.\nAnswer: 5514.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i + 17. Let y(b) = -11*b - 16. Let s(x) = -3*j(x) - 4*y(x). Suppose f + 4 - 12 = 0. Let g be s(f). Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521472 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(539))*-2 + 2*sqrt(539) + 5 + sqrt(539))**2.\nAnswer: -42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18657 + 10\nAnswer: 18667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50933 or 1273331\/25?\nAnswer: 50933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4638 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1842 + -3.1842. Which is the closest to 0.2? (a) -1\/2 (b) w (c) -282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from {r: 1, j: 3, u: 4, a: 6, x: 1, l: 1}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = h + 3*h - 20, 4*h + 5*l = -16. Let a be (-2)\/(1 + 1)*h. Let v(b) = -6*b - 1. What is v(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -43*w**3 + 8*w**2 + 7*w. Let s(b) = 14*b**3 - 3*b**2 - 2*b. Let p(n) = -3*i(n) - 8*s(n). What is the second derivative of p(m) wrt m?\nAnswer: 102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60416 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n + 5. Let l(i) = -3*i**2 + 13*i + 6. Let k be l(6). Let f = -16 - k. What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224092*b + 224075*b = -969 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642492 is divided by 1947?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*u + 5*y, 2*y + 4 = -2*y. Suppose -5*h = -7*h - u. What is the least common multiple of 20 and h\/(-8)*(-56)\/(-21)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 28. Let s be -2 - (-17)\/r - 12\/(-20). Solve 0 = -s*z + z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5897, 11900, 17903, 23906?\nAnswer: 29909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 243044?\nAnswer: 243131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916591927?\nAnswer: 83, 1069, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2856, 9979, 21370, 37023, 56932, 81091, 109494, 142135?\nAnswer: 179008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1530816 and -97\/111622?\nAnswer: 10715712","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -22. Suppose -r + f*r - 1 = 0. What is the lowest common multiple of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-31)*g**(-20)*(g\/(g**5*g))**(3\/13) assuming g is positive.\nAnswer: g**(-678\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/1709 and -53.08 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*r = 6, -2 + 9 = -5*u - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -249*j - 1595. Calculate the lowest common multiple of h(-7) and 370.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 3*i - 24 = 0, -5*q + 10 = -4*i - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/5124*3486 - (6 - -34).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78902*t + 78902*t + 412*t**5)*(1 - 1 + 1)*(2 - 2 - 1).\nAnswer: -412*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6612*a**5 - 7184*a**4 - 580*a**3 - 8*a**2 = 0. Calculate a.\nAnswer: -1, -2\/29, -1\/57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.124 * 102.\nAnswer: 12.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -942\/5. What is the nearest to 2\/9 in -0.3, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q. Let o(u) = 30*u. Determine o(y(l)).\nAnswer: -180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Suppose j*x + 50 = 2*x. Calculate the remainder when 48 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 369884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:47 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/9 + 4\/18. Suppose -s = f*n - 1531, 2*n - 773 = -s + 2*s. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + l**2. Let q be h(3). Suppose -31*u = -29*u - 248. Let m = q + u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 112\/18 - 4\/18. Suppose 0 = p - 4*c, -o*p = -p - 2*c. Let z = -345\/7 - -49. Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -237*f + 294. Suppose -30 = -39*r + 29*r. Let j(q) = 238*q - 293. Let t(z) = r*u(z) + 4*j(z). What is the first derivative of t(m) wrt m?\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 4235*o**4 - 51440*o**3 + 85900*o**2 = 0. What is o?\nAnswer: -859, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 178 = -858. Let t = 1766\/13 + i. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 135.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hehheehhhhhhhhh?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + -3. Let w = 1.4 + q. Let m = w - 0. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, g: 2, y: 3}. What is prob of sequence ge?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 15\/22, -3, 0.06.\nAnswer: -3, -0.04, 0.06, 15\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64188 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-3 - -15) + 25 + -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8648366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -418 + 723. Suppose 6*n - m = n. Let y(d) = -24*d + 261. Calculate the remainder when n is divided by y(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.0912nm in millimeters?\nAnswer: 0.0007640912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from oiso?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/3 + 5*z**3\/6 - 4*z**2. Find the first derivative of f(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6709 + 3077. What is the greatest common factor of 42 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4010269, -8020533, -12030797, -16041061, -20051325?\n\"Answer: -4010264*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 44. Let y(q) = 6*q + 9*q + 3*q**2 - 4*q**r + 11. What is the tens digit of y(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-144)\/84*(-2240)\/24. Solve -b + 2*u = 4, 4*b - f*u = -156*u - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*s + 170*s = -172*s + 1840 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let d = 1\/39 + 149\/273. Which is the closest to 0? (a) d (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:14 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226047 and 202038.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 16. Suppose 5*w - 11 = -z, -5*w + b*z - 4*z + 31 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 + 149. Suppose 2*d - 4*t = 16, -2*t = 3*d - 31 - 17. Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11210 divided by 190\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 - 291*r**2 - 107*r + 48. Let x be s(-36). Solve 0 = 2*d - 4, x*w + 2*d = 7*w + 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/6953 less than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/y**(1\/4))**(-30))**(1\/9) assuming y is positive.\nAnswer: y**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 2*m = -2, i - 217*m = -218*m - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069252995 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 132, 301, 538, 843?\n\"Answer: 34*p**2 - p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 8*p + 55. Let q(s) = 2*s**2 - 4*s + 27. Let h(v) = 7*q(v) - 3*x(v). Suppose 15 = -5*c, -4*z - 1 = -4*c - 29. Is h(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 42 - 42)*(-5*n - 13*n + 45*n + 39*n) to y + f*n + b*n**2 and give b.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-216))\/(45\/108)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 36126771?\nAnswer: -144507084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26106, 24889, 22872, 20061, 16462, 12081, 6924?\n\"Answer: y**3 - 406*y**2 - 6*y + 26517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -2 + 4 - (sqrt(700) + 2 + -2)) + ((sqrt(700) + -1)*-4 - (2*(sqrt(700) + -2) + sqrt(700)))**2)*4.\nAnswer: -4480*sqrt(7) + 137464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 1. Let b be m(-8). Let c(n) = -n**2 - 6*n + 6. Let q be c(b). Let t = -0.5 + 1. What is the nearest to q in 3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:30 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4546*b + 295507. Give t(65).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -477*o**2 + 15*o + 42. Let i be w(21). Round i to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 3. Let m(l) = l**2 + l - 4. Let i = -4 + 1. Let d be m(i). Suppose 9 = -5*j - 3*u, -d*u = 3*j - 8*j + 6. Calculate z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 227\/2, -9127\/16?\nAnswer: 227\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29152230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - l + 13 = 0, -3*c + 3*l + 63 = -0*c. Let w(y) = 62*y**2 + y. Let j be w(1). Suppose -a + c = -j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 5*m**2 + m**3 + 0*m**2. List the prime factors of y(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -10 + 20 + (5 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, d: 4, z: 1, y: 1, e: 2}. Give prob of sequence eem.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/383 (b) -1\/5 (c) 5 (d) -8 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6215 - 34700 = -682*l - 487*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38930\/9 + -4333. Calculate the common denominator of 34\/3 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (-25)\/(475\/(-6422)) - 6\/(-1).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 22*y**2 - 7*y - 32. Suppose -i + 11 = -3*f, 5*i - 135 = -f - 4*f. What is the tens digit of n(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1399, -1134, -271, 1478, 4401, 8786?\nAnswer: 14921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 25 = 3*x - 2*x, -5*b + 25 = 0. Solve -3*v - x*r = -v - 22, -2 = 2*v - r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 5 (c) 0.6 (d) 17 (e) 1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/((u**1\/u)\/u)*u*u)))**(-3)*(u**(1\/3)*u*u*u)**(-2) assuming u is positive.\nAnswer: u**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94878, 94876, 94874, 94872?\nAnswer: 94870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*a = -40, a - 13 - 2 = -5*x. Suppose -3*c = 2*q + 5 - 33, -8 = -x*q. Is (c\/20)\/(2\/(157 + 3)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 285 = -24*v + 165 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 17.3. Let o = -16.1 + q. What is the nearest to o in 0.3, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20915\/12 - 5231\/3. What is the second biggest value in -0.4, 5, -0.02, -5\/7, b?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(22\/9 - 2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -2\/9, 2\/5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 11012212?\nAnswer: -11012132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*88557.\nAnswer: 8855.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 29. Let a = 59 - 33. Let j = o + a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 70\/(-30))\/(1\/18). What is the third derivative of -11*w**4 + 6*w**2 - 10*w**2 + 1 - d*w**2 - w**3 - 7*w**4 wrt w?\nAnswer: -432*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5.6. Let d = -2.6 - c. What is the nearest to -2 in d, 0.1, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058628569 + -4.\nAnswer: -3.941371431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 24. Let s be 6\/(-14) + 1330\/(-98). Let r be i(s). Does -2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, -6 in ascending order.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16761 + 16763. Let w(g) = -g + 1. Let x be w(-1). Solve 4*r + u = -5, -6*r = -x*r - j*u + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39479493.\nAnswer: 3, 13159831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c74b28 - -7?\nAnswer: 1c74b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/6 + (-1)\/1. Let v be (-8 - i)*(-1)\/(-1). Let g = -3 - -9. Solve -v = 3*f + g*o - o, 2 = -o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Suppose -5*s + 15 = x*v, -3*s + 4*v - 3*v - 11 = 0. What is the units digit of (0 + s)*(-2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.2*208886\nAnswer: -2130637.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/4 of a litre in millilitres?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 648173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -789391\nAnswer: -2\/789391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -258555872 and -258555873 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u = 69*u - 4*a - 31, 0 = -3*u - 2*a + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -8047413?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 38 = -14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 132748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.03337 * -19.29\nAnswer: 0.6437073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8317179 centimeters?\nAnswer: 0.000008317179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2343679 and 417?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834*u - 240*u + 7*u**3 - 235*u - 123*u - 236*u + u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -1*(-4)\/(-2). Let o = f - -2. Suppose o = 2*x - 7*x + 3*q + 307, 0 = -3*x - q + 173. Is x 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 130344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 388010662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = 4*d. Let p(i) = 4*i**2 - 13*i - 9. Let l(j) = 15*j**2 - 51*j - 37. Let f(w) = d*l(w) + 9*p(w). Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (10 + (5 - 13) - 0) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -1.9. What is the closest to 1 in -0.4, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723987 is divided by 16263.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7012 - 53?\nAnswer: 6c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 + 10*r**3 - 53*r**2\/5 - 102*r\/5.\nAnswer: r*(r - 2)*(r + 1)*(r + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (33 - 83) - -62?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 6:12 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -9. Let r = 16 - 21. Let p = 6 + r. Which is the second smallest value? (a) -4 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 6 + (3 - 2 + 1)*(2 - 2 + 1))*(0 + 0 - 1)*(36370 - 36370 + 3266*v) to the form s*v + n and give s.\nAnswer: 3266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.874983 - -15681093.\nAnswer: 15681093.874983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607*c**4*t + 4*c**4 + 7*c**3*t - c**2*t + 73374*c**2 - 1 wrt c?\nAnswer: -14568*c*t + 96*c + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**6 + 0*b**4 + b**3 + 0*b + 6\/7*b**7 + 2 + 0*b**2 + 0*b**5. Find the third derivative of i(o) wrt o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -93*l + 346. What is p(5)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11282*f**2 + f + 107947 wrt f?\nAnswer: -22564*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20949, -20948, -20947, -20946, -20945?\n\"Answer: w - 20950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -11*s + 329. Calculate the highest common divisor of s and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19181618*t**4 - 11564174*t wrt t?\nAnswer: 230179416*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38848001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(242) - -1*sqrt(242)*4) + sqrt(242))*-2 + (sqrt(242) + 0 + sqrt(242))*-1 + sqrt(242)*-2 + 1))**2.\nAnswer: -8800*sqrt(2) + 1548825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70410, 70408, 70408, 70410?\n\"Answer: t**2 - 5*t + 70414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 385*y - 223.\nAnswer: 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3493 + -3491. Which is the biggest value? (a) l (b) 272 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*c + x, 3*x + 22 - 25 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Suppose -u = 2*d - 3*d. Suppose 5*m - 4*m - d = 0. Solve 7*l + m*x - 17 = 4*l, 10 = 2*l + x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) -0.3 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:24 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -105*g + 103*g. Suppose 4 = 2*i - 2*s + s, 4*s + g = 0. Is i greater than 3\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.8 + 3. Let x = 0.8 - 0.6. Let b = x - -1.8. What is the second smallest value in -4, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6802987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - n + 5*n + 26, 3*z + 5*n = -14. Solve 0 = -3*g + 5*g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-14))\/((-6)\/8). Suppose 0 = 5*v + 5*g - 80, -b = -g - 1. List the prime factors of ((-153)\/v - (-1)\/5)*-8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4189a7 (base 12) to base 14.\nAnswer: 1cbbb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*s + 178*s + 240 = -177*s + 521*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k + 19. Let y be i(7). Let l be (-3)\/633*24\/y. Which is the nearest to l? (a) 0.2 (b) -2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6336) - sqrt(6336))\/(-2*sqrt(400)) + 0)**2*-2.\nAnswer: -792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = 13*b - 6621. Let f = b - 442. Let u = -12 - -1. Sort u, f, 5, 0 in decreasing order.\nAnswer: 5, f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*d**5 + 309*d**2?\nAnswer: 4140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529452 divided by 44.\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 27*i**4\/4 + 110*i. Let m(k) = -7*k**2. Determine m(y(z)).\nAnswer: -45927*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1271977\/29 or 43862?\nAnswer: 43862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2425*-1689.39\nAnswer: 409.677075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = 0, 3*g + t - 2*t - 23 = t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 8. Let x be (d - 1)\/((-4)\/20). Let o(q) = 5 + 0 + q**2 - 3*q - 2*q**2. Give o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - -6 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 10. Let h be j(5). Suppose 3*n = o - 41, 2*o - 106 = 3*n - h*n. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from muxmmmxmxxiumiu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/(104\/(-272)))\/((-2)\/13). Let v = o + -190. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - (-186)\/(-18) - 32\/(-6). Solve 7 = 2*h - o, -i*h + o + 11 = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7 - 2*j**2 + 22 in the form t*j + y + f*j**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97299, 95582, 93873, 92178, 90503, 88854, 87237, 85658?\nAnswer: 84123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029037857 to the nearest 1000000.\nAnswer: -1029000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3210*k**4*m + 3*k**2 + 18049*m wrt k?\nAnswer: -12840*k**3*m + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/22 - 325\/(-2). Solve -168*f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 26 - 16*h as v + d*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(1635\/(-2725))\/((-4)\/((-120)\/9))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -46. Suppose 3*v - i = -v. Suppose 0 = 5*y - 3*a - v, -3*a + 6*a + 8 = 4*y. What is the remainder when 3 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = 10*h. Let m be 0*(3\/h - -2). Sort -1, 4, m in ascending order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*d**2*x - 2*d*x + 6*d - 8*x wrt d.\nAnswer: -298*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p**2 + 4*p - 1. Let m = -12 + 7. Let n = 8 + m. Calculate i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126893069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = t + 3*q, 4*t + 4*q - 2128 + 1093 = -787 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 21593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.613316 nanoseconds in hours?\nAnswer: 0.00000000001211481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30751 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 11. Let v(r) = -m - 2*r**2 + 8 - 2. Let y(o) = -o - 4. Let f(b) = 6*b + 27. Let d(l) = 4*f(l) + 27*y(l). Determine v(d(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - -1 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37193099\/2 or -18596549?\nAnswer: -18596549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -710, -2745, -6144, -10913, -17058, -24585, -33500, -43809?\n\"Answer: -a**3 - 676*a**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37276 is divided by 37196?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*l, f + 2*l + 19 = -l + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 3*g**2 - 2*g - 1. Let f be q(-3). Let t(s) be the second derivative of s**4\/12 + 2*s**3\/3 - 5*s**2 + 2*s. Let w be t(-5). Sort -4, f, w.\nAnswer: w, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auuauguuga. What is prob of sequence gua?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 79*b + 21. Let p be t(13). Solve p*l - 36*l = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126 + 40 - 102*d + 18 - 143 - 48 + 20*d**2 wrt d?\nAnswer: 40*d - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 (base 11) in base 10?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -1\/12, 0, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -1200?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -0.02, 4, 6.36, -0.2, -40?\nAnswer: 6.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i**3 - 5 + 5 + 0.\nAnswer: 70*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/166 and 37\/3764210.\nAnswer: 312429430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(363) + 4) + (1 + sqrt(363))*-5 + 5)**2*-3.\nAnswer: -17856 - 3168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h - 8. Let w be n(-1). Let m be 4206\/w + 6\/(-10). Suppose 2*i = -3*i + m. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 1098587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + z = 9, 2*z = -0 + 6. Let a be (-1)\/(-1) - 4 - s. Suppose a*i + p - 607 + 194 = 0, 4*p = 5*i - 677. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173.909 * 1.\nAnswer: -173.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 + 10*t + 26. Let n(f) = -f**2 + 2*f - 4. What is 3*g(u) - 15*n(u)?\nAnswer: 3*u**2 + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 1\/2 (b) -3 (c) 3\/64 (d) 6 (e) 2\/9 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 237.\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*(12\/8)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3558 less than -13?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691 is divided by 134.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 28 + 4*w + 4*w to i + c*w and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.297? (a) -5 (b) 1 (c) -11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15159000 - -1324018. Let f = z + -9783018. Round f to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 2, t: 8, j: 3}. Give prob of sequence vpv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 91. Suppose 4*a - 329 = -5*c, -10*a = 5*c - 11*a - 299. What is the remainder when c is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -219. Let a = 79 + u. Solve -a*d + 37 = 4*s, -s = -5*d + 3*s + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*j + 12, 3*s + 4 = 2*s - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -422290*q**2 - 40822?\nAnswer: -844580*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 99168, 99247, 99380, 99567, 99808?\n\"Answer: 27*d**2 - 2*d + 99143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 10. Suppose c + 0*c + 3*n + 3 = 0, 0 = -4*c + 5*n + 73. Let b be 2\/c + (-1219)\/(-138). Determine u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-2\/17)*s*s\/(s*s\/(s*s*s\/(s*s**4)*s))*s*s*s**3 assuming s is positive.\nAnswer: s**(76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193.6 + -194. What is the fifth biggest value in -1, 0, 0.1, -6, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42854\/(-189)*12\/(-1963). Let n = 2\/1359 - o. Let i = 64\/65 + n. Which is the closest to -0.1? (a) -4 (b) -9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331999 + 4?\nAnswer: 1332003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 2. Let j be d(4). Let v(c) = -c + 4. Let g be v(j). Does 12 divide (-27 - -2)*(-3 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {g: 3, f: 3, w: 13}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 + 11*y**2 - 3*y + 9. Let k(s) = 5*s**3 + 11*s**2 - 4*s + 10. Let w(l) = 4*g(l) - 3*k(l). Let r = -21 - -10. Does 2 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*x - 1271*x + 11*x**2 + 744*x.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 6 + d - 415 + (3*d + 2*d - 4*d)*(-25 - 11 + 51).\nAnswer: 16*d - 435","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.8. Let p = 67 + -467\/7. Let g = 0.11 + -5.11. Which is the closest to o? (a) g (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 3*b**3 + 33*b**3 - 14*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Find the third derivative of -15*g**4 - 8*g**2 - x - 3*g**2 - 20*g**4 + 2*g**2 wrt g.\nAnswer: -840*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2. Let g be u(1). Suppose -2*q + 3*n + 31 = 0, q + 0*q - 3*n = 23. Let d(z) = -2 + 2 + q - z. What is d(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 215, 271, 349, 449?\n\"Answer: 11*z**2 + z + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 36*r + 320. Determine o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.50595 to 2 dps.\nAnswer: 3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = 2*j, 3*z = -3*j + 17 + 10. Suppose -y - 2*y + z*l + 235 = 0, 3*y + 3*l - 270 = 0. Let q = y - 131. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 119, 291, 535, 845, 1215, 1639, 2111?\nAnswer: 2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30)\/(59\/(-236) - 14\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, -1, 2\/29, -2.3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -943508 (base 10) to base 16\nAnswer: -e6594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*((-170)\/(-2244))\/(-1).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -15, -84, -223, -456?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 15. Let c be w(11). Suppose 2*j - 4*l = 18, -j + 2*l + c = 2*j. Let q be j\/3 + 128\/24. Solve -10 = 3*y - 1, -q*b - 4*y + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.342 - -0.242. Let l = -0.08 - 3.92. Let d = l - -6. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - -3. Suppose -7*k - 4*k - 33 = 0. Which is the closest to -3\/4? (a) y (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqmomqqmmmqmo. Give prob of picking 1 o, 2 m, and 1 q.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.499447g?\nAnswer: 0.000007499447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-7 + (7 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -48. Solve 0 = -c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-76)*(-3)\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -9*b**2 - 1\/2*b**3 + 0 - 41*b. Give q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 100021021?\nAnswer: -100021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, u: 1, l: 1, w: 1}. What is prob of sequence ibl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**4 + 1\/5*l**2 + 0*l - 19 + 4\/25*l**5 - 4\/15*l**3 - 1\/15*l**6. Let p(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, 3, -4 in decreasing order.\nAnswer: 3, 1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60*-719\nAnswer: 43140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from nonnoonoonnnn.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 3\/1649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1541b57?\nAnswer: 1541b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 62. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 + 9168*p**2 + 64170*p\/7 - 128348\/7 = 0. What is p?\nAnswer: -32087, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:17 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + 11*m - 3. Let f(r) = -11*r**2 - 23*r + 7. Let y(h) = -13*a(h) - 6*f(h). Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787*g + 927*g - 420 = 0. Sort 20, g, -11, 4, -5 in increasing order.\nAnswer: -11, -5, g, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:43 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 612 - -51. Let m = o - -1282. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from ydyudywuyu.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiziiiiziiii. Give prob of sequence zzi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, 357, 1303, 2761, 4725?\n\"Answer: -x**3 + 265*x**2 - 360*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.37 + 1.33. What is the third smallest value in 0.2, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/9 - 1130*x**2\/9 - 1124*x\/3 = 0.\nAnswer: -562, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27c11 + -2?\nAnswer: 27c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*i + 5, -3*h + 2*h = 3*i - 7. Suppose -4*d + i*q = -29740, 37175 = d + 4*d - 2*q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose z = 5*d - 3*d + 6, 4*z - 8 = q*d. What are the prime factors of 2 + (-2 - -1 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -27. Suppose -b + 34 + 30 = 5*u, 3*b + f*u = 192. Factor -114*c**2 + 13*c - b*c**3 - 8 - 25*c**4 - 31*c**3 - 65*c.\nAnswer: -(c + 1)*(c + 2)*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 25\/6*n**3 + 0 - 1\/12*n**4 + 179*n**2 + 0*n + 5\/12*n**5. What is the second derivative of k(v) wrt v?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18893222 divided by 1?\nAnswer: 18893222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15038214 is divided by 3759551.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 + 8*x + 5. Let o be u(8). Suppose 149 + 61 = o*l. Calculate the common denominator of (-41)\/(-56)*-2*-4 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - 4?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 524613026 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 3120*n - 3125*n - 36, 4*d = n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 70. Suppose y = 2*z + 3*n - 7 + 2, -5*z - 2*n = 4. Let k(o) = -o - 2. Let v be k(-5). Put z, -5, v in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 213 + 213 - 452 + 3279*w. Let i be h(-6). Round i to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let x be 39\/2 - y\/(-2). Is x - (9\/3 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 80619002054.\nAnswer: 80619002053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 511\/(-73)*(-63)\/(-49)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/49))\/(m*m\/(m*m**2))*m**(-3\/14)*m*m**6)**2 assuming m is positive.\nAnswer: m**(865\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1130 and 678?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:16 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -77, -75, -73, -71?\n\"Answer: 2*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -26. Calculate the remainder when 56 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*s**5 + 325*s**4 + 535*s**3 + 385*s**2 + 115*s + 10 = 0.\nAnswer: -2, -1, -1\/2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -391 + 391. Which is the nearest to -1? (a) -0.4 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1486127 or -1486144?\nAnswer: -1486144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4561, 10374, 17313, 25378?\n\"Answer: 563*m**2 + 4124*m - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y. Let s(i) = 6036*i. What is j(s(l))?\nAnswer: 48288*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 3:12 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-4*x + 0*x + 5*x) + 3*x - 4*x + 2*x - 3*x - 2*x - 2*x - 2 - 20*x + 64*x + 37*x.\nAnswer: 77*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121355 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -2)*(-16)\/6. Let m(i) be the third derivative of -i**6\/120 + 3*i**5\/20 - i**4\/3 + i**3\/2 + 1882*i**2. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 1\/24*c**3 - 1\/8*c**2 + 0*c + 1\/32*c**4 - 19. Suppose w(g) = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*p**5 - 1125*p**4 + 4921*p**3 - 4779*p**2 + 990*p = 0. Calculate p.\nAnswer: -165, 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 38*x**5 + 2*x**3\/3 + 4*x - 73. What is the third derivative of d(v) wrt v?\nAnswer: 4560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*m + 1299 + 428 + 375 + 1328 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i - 15*i**3 + i**3 - 3*i**3 + 0*i**3 wrt i.\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 31. Let v(s) = -s - 16. Let d(k) = 4*c(k) - 7*v(k). Let q be (-1 - -2)*(-9 + -1 - -11). Let l be (q - 16)*(-6)\/(-10). Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -892783?\nAnswer: -892783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1533*f + 1274*f - 1633*f - 35220 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 + 40 = -5*s + 2*o, 3*s = 2*o + 164. Calculate the remainder when s is divided by (-2 - (1 - 3)) + 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:48 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1231814*0.1.\nAnswer: -123181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 2 g when four letters picked without replacement from gghan?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/4 - 3*q**4\/2 + q**3\/3 - 81*q**2\/2 - 2*q + 62. What is the second derivative of k(l) wrt l?\nAnswer: -30*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -96, -97, -96, -93, -88, -81?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-42)\/5) + 16\/(-40). Suppose -n*w + 15 = -69. Suppose 4*v = -v + 140. What is the highest common factor of v and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -4. Let f = z + 71. Let a = f - 28. Which is smaller: 2\/7 or a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.5. Let w = 7\/36 - 1\/12. Let f be ((-22)\/99)\/((-3)\/18) - (-5)\/(-5). What is the closest to f in 2\/13, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**2\/2 - 17. Let y(h) = -5*h. Determine y(u(g)).\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 15 = 28*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9061 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 260, 388, 516, 644, 772?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c**2 + c - 1. Determine b(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdii when four letters picked without replacement from {i: 2, s: 1, f: 6, d: 2, w: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 14) to base 2\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -0.3, 22, 0.02?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 349 (base 13) to base 6\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 - ((-15 - 0) + 4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 7:17 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 34*j - 17*j - 15*j. Let l(v) = -9*v**2. Give b(l(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10064\/12)\/(20\/90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 6 = 0. Let g be (-1)\/(-2 - 10\/(-6)). Sort 5, x, g in descending order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088470 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: Calculate (1 + 0)\/((-784)\/(-48) + -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49426, -36\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*64\/(-112) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 14*t + 40. Suppose 0 = -5*o - g + 41, 4*o - 5*g - 8 = 19. Let u be d(o). Suppose -u + 16 = -4*q. What is the remainder when 201 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 54 - 88*j + 6*j**2 + 18*j**2 + 7*j**2 + 7*j**2. Let u(q) = -13*q**2 + 29*q - 18. Let d(a) = -4*l(a) - 11*u(a). Factor d(f).\nAnswer: -3*(f - 3)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 2*c**2 - 22*c**3 + c + 6*c**2 + 10.\nAnswer: -22*c**3 + c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12285)\/1365*(-50)\/240*6\/20?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -16*x**5 + 344*x**4 - 1737*x**3 - 1115*x**2 + 862*x - 120 = 0.\nAnswer: -1, 1\/4, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4 - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.16 + 662809383?\nAnswer: 662809360.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/125)\/(13*24\/(-3120)*2).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 20 + 83. Let u be (5\/4)\/(j\/(-36)). Solve u*h - 25 = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 24*w - 147. Let a be g(-5). What is the nearest to a in -24.2, 3\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61614668 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f**5\/3 + 370*f**4\/3 + 2774*f**3\/3 + 4730*f**2\/3 - 1106*f - 3180 = 0.\nAnswer: -3, -2, 5\/4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3\/20*o**5 + 0*o**2 - 1\/4*o**4 + 2*o + 1\/2*o**3 + 0 + 1\/10*o**6. Solve a(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 0, 3*n + 411 + 1732 = t. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114913733 and 0.5?\nAnswer: -57456866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:55 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.057475 + 2112542.\nAnswer: 2112525.942525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42906?\nAnswer: 2, 3, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3552201 by -1184067.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2. Let c(k) = -14*k. Let s(a) = -7*a. Let d(j) = 2*c(j) - 5*s(j). Calculate y(d(p)).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22067 + -22062. Which is the third biggest value? (a) m (b) 63.4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2343838 and -25\/3013506?\nAnswer: 21094542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 3*p - 52, 4016*r = 4016*r - p + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + -11)*2\/(-6). Does 8 divide -3 - -388 - -1*(-1 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35, 143, 387, 833, 1547, 2595, 4043?\n\"Answer: 11*m**3 + 2*m**2 + 25*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*w - 4*h, -23 = 2*w + w + 4*h. Let o be (3 - w)\/((-10)\/(-35)). Let i be 589998\/5 + o\/35. Round i to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4064 - -1076962\/265. Calculate the common denominator of -109\/6 and o.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (680\/102)\/(7\/(-3) - -2). Let l be (-15)\/q*(-32)\/(-12). Put -0.2, l, 4, 7 in descending order.\nAnswer: 7, 4, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let h(i) = 2*i**2 - 6. Determine h(g(f)).\nAnswer: 32*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-14))\/((-2)\/14). Let a be (o\/10)\/((-1)\/(-2)). Solve -4*h + a*h + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4582 - -8476. Suppose m - c = n, -2*n = -2*m - 3*n + 7803. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 2*o - 18. Let m be n(0). Let a be ((-14)\/(-12)*4)\/(m\/(-27)). Solve 2*x + 3*b = -12, 3*b - a*b = 5*x + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1969*t + 436*t + 57*t + 2020*t + 475*t in the form w + s*t and give s.\nAnswer: 4957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003259 rounded to seven decimal places?\nAnswer: -0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -34, -53, -86, -139, -218, -329?\n\"Answer: -v**3 + 2*v**2 - 10*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 321 = 5*s. Let g = -1711\/16 + s. What is the common denominator of g and -33\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1270263 and 31218?\nAnswer: 307403646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3040.151cm to micrometers.\nAnswer: 30401510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125487 and 1045944.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -1\/70, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-3*6 - (2*(sqrt(1584) + 0) + sqrt(1584))**2 - (5*sqrt(88))\/(-1*sqrt(10)\/sqrt(5) - sqrt(2))) + 2.\nAnswer: -14254 - 211*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -617.378687 rounded to two dps?\nAnswer: -617.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.85 - 1.45. Sort 0.2, c, 502 in increasing order.\nAnswer: 0.2, c, 502","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((3 - 1) + (1 - -2) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48258*c**2 - c + 171764 wrt c.\nAnswer: 96516*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13537816*12.3.\nAnswer: 166515136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4 + (-6)\/(-4). Suppose h*o + 4*a - 31 = 0, -4*o + 10 + 34 = 4*a. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {d: 1, h: 1, m: 5, r: 2, t: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*b*b**(1\/14)\/b assuming b is positive.\nAnswer: b**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (3 - 0 - -6)) + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 1 + 26 - 32 - -46.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1441\/296? (a) 3 (b) 452 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50267\/5 - -10054. Find r such that 0 + 33\/5*r + z*r**2 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + 1674\/(-90) + 13\/5. Solve -19*u - c*z - 6 = -24*u, 5*z = -2*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20966070.\nAnswer: 2, 3, 5, 191, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 106 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -173925\nAnswer: -69570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -54. Let o(n) = n**3 - 18*n**2 + 7*n - 75. Let t be o(18). Let z = f + t. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16335 + 51057 = 2*h. Let b = h + -606679\/18. Calculate the common denominator of (1 - -120)\/(-18 + 0) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 3. Let t be (x + 5)*(1 + 1). Solve -i - 2*h + 8 = -3*i, -t*h = -3*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 144, 213, 282?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172795841?\nAnswer: 3191, 54151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 2*r**4 - 1 - 2*r + ((r + 4 - 4)*(0 + 0 + r) - 2*r**2 + 2*r - 2*r)*(-233*r**2 + 174*r**2 - r - 233*r**2).\nAnswer: 294*r**4 + r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or -1352?\nAnswer: -1352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {k: 2, h: 2, v: 1, o: 3, r: 4, z: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1048*j - 1601. Let b(p) = 6*p. Determine b(q(d)).\nAnswer: 6288*d - 9606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -27*r + 377. List the prime factors of s(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-312 + 4)\/(-1 - 0). Let b = 601 - i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2255714.789 - 0.36103.\nAnswer: 2255714.42797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -11 (c) -3\/2 (d) 13056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4986445*z**4 - 14*z**3 + 1998*z**2 + 7*z - 1029 wrt z.\nAnswer: 119674680*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20\/y)\/(y*y**(6\/7)\/y) assuming y is positive.\nAnswer: y**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4312015 (base 6) to base 2\nAnswer: 110011101011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-2)\/5. What is the first derivative of h*s + 1 + 2 + 0 - s wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2679*c**3 - 5772*c**3 - 3716*c**3 - 7440*c**3.\nAnswer: -19607*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 - 3539*n - 15 + 3539*n)*(-4*n**2 + 2*n**2 + 4*n**2) to c*n + z + g*n**2 + r*n**4 + x*n**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/(-120)*(9\/(-4))\/(-3). What is the nearest to p in 0.07, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100575 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 666298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 33\/40*q**5 - 253\/4*q**3 + 1\/80*q**6 + 2 + q + 219\/16*q**4 + 1587\/16*q**2. Factor k(p).\nAnswer: 3*(p - 1)**2*(p + 23)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181880.\nAnswer: 2, 5, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*4*33150\/8840?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10770380771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -132*s - 6285. Let y be c(-53). Solve y*x - 708*x = 24 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62998 - 73987 = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90169934*p**5 - 34*p + 1426494 wrt p.\nAnswer: 1803398680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 + -242. Let n(h) be the first derivative of g*h - 1\/4*h**4 + 0*h**3 - 1\/5*h**5 + 0*h**2 - 1. Determine u, given that n(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-10))\/(-2)*(-45)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 82707*h. Let y(f) = -2*f**2. What is a(y(u))?\nAnswer: -165414*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3381543 divided by -1127181.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**10\/7560 + m**9\/756 + m**8\/210 + 2*m**7\/315 - 25*m**4\/6 + 55*m. Let d(w) be the third derivative of f(w). Factor d(z).\nAnswer: 4*z**2*(z + 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 5*k + 2. Let f be m(-3). Suppose -f*s + y + 23 = -0*s, 3*y + 4 = 2*s. Sort s, -5, 3 in increasing order.\nAnswer: -5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1162127 or 44160793\/38?\nAnswer: 44160793\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-12)*(1 + 3)\/1. Suppose -x = f*x. Let y(c) = -2*c + x + 19 - 12. Give y(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)\/u)\/(u\/u**(-2)*u)*u**(-1\/9)*(u*u\/((u\/(u\/(u**3\/u)))\/u))\/u)**(-22) assuming u is positive.\nAnswer: u**(5456\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/(-44)*42\/(-7) - (192\/(-44))\/16\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = 3*g, -g = -2*v - 2*v - 29. Let l(t) = t + 3. Let r be l(v). Let h(k) = 3*k + 2. Give h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -55, 244 in descending order.\nAnswer: 244, 90, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 140 - 56. What is the least common multiple of 2\/(d\/180*6) and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51470 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*h**2 - 43*h**2 + 20*h**2 + 140*h**3 + (-1 + 1 - 2*h)*(-h**2 + 3*h**2 + 0*h**2).\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3815385 and 73\/29432970?\nAnswer: 206030790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/210560 and 58\/7755.\nAnswer: 6948480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1599 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/60 + y**4\/3 - 13*y**3\/6 - 6*y**2. Let n be k(4). Solve 4*q = n*x + 15, 0 = q - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3198, -2711, -2224, -1737?\n\"Answer: 487*j - 3685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - 3*z**3 + 8*z - 5 + 6*z**3 - 3*z. Let w(k) = 6*k**3 + 4*k - 5. Determine -5*n(u) + 6*w(u).\nAnswer: u**3 - u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1163\/95998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 29 + 1235*a - a**2 - 625*a - 612*a. Give n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*a + 19621 - 5353 = 0. Solve 133 = a*w - 157 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68039 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 15.52166640331.\nAnswer: 16.02166640331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) - (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - -2*(sqrt(68) + 2*sqrt(68)))) - sqrt(68)))\/sqrt(4)*-5 + ((sqrt(153) + 0 + -4)*1)**2 + -4.\nAnswer: -54*sqrt(17) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25576300112488 and -12.\nAnswer: 25576300112476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363678183 to the power of 1\/2, to the nearest integer?\nAnswer: 57997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - 7*f**3\/3 + f**2 - 44*f - 48. What is the units digit of y(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.38 and -2.\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 18*k + 2. Let a be (-120)\/18*6\/(-5). Suppose -2*v + a = -3*v. Does 10 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 4. Let c(j) = -16*j**2 + 20. Let n(p) = -4*c(p) + 22*v(p). Factor n(l).\nAnswer: -2*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2985678525.\nAnswer: 3, 5, 19, 47, 44579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.7, 0.1, 0.3, -3 in descending order.\nAnswer: 1.7, 0.3, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**5\/20 + 15*g**4\/4 + 63*g**3\/2 + 147*g**2\/2 - 2*g - 5. Solve j(r) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12*r + 87431 = -15*r, 0 = -5*r + 25. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-10) - (64\/(-40) - (-2 + 4 + -4))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1.6, -76\/5041, -1 in increasing order.\nAnswer: -10, -1.6, -1, -76\/5041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Let v be (-2 + 0)*(0 - 2). Suppose -5*m - 5 = -5*g, 2*m - v = -4*g - 0*g. Which is the third smallest value? (a) -0.4 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26.23. Let l = s + -0.2291. What is l rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -4*s**3\/27 - 2068*s**2\/9 - 1069156*s\/9 + 1693. Find i, given that g(i) = 0.\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = l - 0*l - f + 33, -130*l - 2*f = 462 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25283 (base 10) to base 14\nAnswer: -92dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037474 is divided by 129683.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -9. What is the remainder when 81 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 118*g + 1383. What is z(-12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6506282*x**4 - 800*x - 176083 wrt x?\nAnswer: -78075384*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 375 - 0?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -41*q**3 + 3*q**2 - 3*q - 3. Let o(t) = 123*t**3 - 8*t**2 + 8*t + 8. What is 3*o(u) + 8*s(u)?\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-17)*o*o)\/o)\/((o\/o**(1\/14))\/o)*o**8*o*o**(2\/15))**(2\/49) assuming o is positive.\nAnswer: o**(-1427\/5145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 6. Let s = -2 + 8. Let k be j(s). Let n be (-2 + (k - -2))\/1. Is n at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139387 = 104*r - 142869. Calculate the remainder when r is divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 2. Find the second derivative of 3*i + g*i**5 + 5*i - 4*i wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1339623428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 53008519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -14. List the prime factors of (-51)\/u + 3\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78.72 - 0.28. Let f = k + 78. Which is the second smallest value? (a) -13 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*t - 2)*(2*t - 6*t - 15*t) in the form r + p*t**2 + i*t and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2. Let a be t(2). Let z = 7 + 0. Let l(g) = -2*g - 2*g**2 - a + 0*g + z*g. Determine l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, 2\/13, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 19129*g.\nAnswer: -g*(g + 38258)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3388 and 161\/39204.\nAnswer: 274428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than -54242\/597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -147478\/9 + 175793825\/10728. What is the common denominator of m and 103\/6?\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -10. Suppose -6*y - 22 - 26 = 0. Let u = a + y. Solve 2*n - n - u = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3169, 3962, 5933, 9670, 15761?\n\"Answer: 98*d**3 + d**2 + 104*d + 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, f: 7, v: 4}. What is prob of picking 2 v and 1 f?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1977132 and 49713?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + 1 - sqrt(2)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*i = -31643, -15*j - 10544 = -16*j + 3*i. What are the prime factors of j?\nAnswer: 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-9)*u)**(-2\/25))**10)**6 assuming u is positive.\nAnswer: u**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41.7 and -0.016.\nAnswer: -0.6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 62 - 26*d + 9*d - 33.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + (-85 - -4) - (38 + 0 + -50)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose s*r - 120 = -2*r. Let p be r\/(-4)*(-8)\/3. What is the greatest common divisor of 30 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11191215 and 3180?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -3 - (-37 - -28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26154082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - (sqrt(931) + 2 + sqrt(931)*-2 - sqrt(931))) - 6*(sqrt(931) + -2))**2.\nAnswer: -280*sqrt(19) + 3824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutb. Give prob of picking 1 b and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 4409*j - 4417*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 4, 60, 152, 292?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531554277?\nAnswer: 3, 97, 151, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-57)\/(-9))\/(1\/3) + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10281 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: What is -114011324 (base 5) in base 16?\nAnswer: -81e79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 324*v + 14. Let f be m(5). Let g = f - 13147\/8. Let c = -2\/6001 + -522035\/156026. Find the common denominator of g and c.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -12*j**5 + 296*j**4\/3 - 820*j**3\/3 + 320*j**2 - 464*j\/3 + 64\/3 = 0.\nAnswer: 2\/9, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28974799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(sqrt(378)*1)\/sqrt(9))\/(-5*sqrt(30)\/((sqrt(30)\/sqrt(2))\/sqrt(3)))*-3.\nAnswer: 48*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/25)\/f**(1\/6) assuming f is positive.\nAnswer: f**(-7\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 + -198. What is the common denominator of l + 2093\/(-1050) - -1 and 41\/48?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22472?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35601 - -35600.5. Put -4562, c, 1, 0.2 in increasing order.\nAnswer: -4562, c, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.226 and -0.085?\nAnswer: -0.01921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 817679.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1146.2 + 1145.7. Which is the second biggest value? (a) s (b) 3\/2 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.151 in 1, 4\/3, -183, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*d**5 - 47*d**5 + d**3 + 58*d**5 + 0 + 0 - d**5 + 2*d**5 + 0 + 0 + (d - 3*d + 0*d)*(-3*d**4 + d**4 + 4*d**4) + 2*d**5 + 4*d**3 - 4*d**3.\nAnswer: 97*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (105\/140)\/(2\/8). Let c be 717\/9*f - 5. Calculate the greatest common factor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/((-3135)\/38)*6\/8)\/(-4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c - 5 = 0. Let a be 14\/(-4)*8\/(-14). Let i(v) = 1 - a + 2 + 8*v. What is i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 12751.\nAnswer: -12742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 3*o. Let q be z(-2). Solve 0*w + q = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/8 - 4*x**2. Let p(g) be the second derivative of g**4\/2 + 23*g. What is t(p(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -33516*h**2 + 16764*h**2 + 16751*h**2. Let l(c) be the second derivative of -51*c**4\/4 - 2*c. Calculate i(l(a)).\nAnswer: -23409*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = -4*h, 3 = 2*h + 11. Let v(i) = -1. Let b(k) = k + 5. Let j(s) = m*b(s) - 6*v(s). Let x be j(6). Let g(q) = q + 8. Calculate g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.6 and -80462238?\nAnswer: 80462242.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*d**4*m**3 + 504109*d**4*m**2 + 2038*d**2*m**3 - 2*d**2*m + 2*d*m**3 + 1297*m**3 wrt d.\nAnswer: -864*d*m**3 + 12098616*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8129 = -3*y + c, 5391 = 2*y - c + 6*c. What are the prime factors of y?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n - 10. Let f(t) = 15*t - 21. Give 2*f(p) - 5*v(p).\nAnswer: -5*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:42 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 64, 28, -32, -122?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/692 and (3\/32)\/(8 + (-16445)\/2068).\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 48*m**2 - m + 29*m**2 + 21*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3375 divided by -9\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 60. Solve -1 = 3*k + u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51595 from -236712634.\nAnswer: -236661039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4180 = 3*l, 2508 = 3*w - l + 7*l. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 308, 322, 334, 344, 352, 358?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 216*v**2 + 15*v + 1614. Calculate h(-108).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199415531?\nAnswer: 37, 6299, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/120 + n**5\/12 - n**4\/24 + n**3\/6 + 166*n**2 + n. What is y(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 - 7. Suppose -5 = -2*k - a. Suppose -3*v + 3*n = 0, 4*v + n - k*n = 15. Solve 4 + 1 = 3*i - 5*o, v*i + 21 = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589323 is divided by 794659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 106 = 4*o - 108, -4*n = 2*o - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65987074, -65987075, -65987076, -65987077?\nAnswer: -65987078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -34. Let c = -26.78 + 27. Let n = c + 0.28. Sort n, 5\/3, i in decreasing order.\nAnswer: i, 5\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 9:11 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2421451 - 6.93.\nAnswer: -2421457.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.75 minus -156481?\nAnswer: 156471.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/4 + 6507*z\/2 + 42341049\/4 = 0.\nAnswer: -6507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -57. Suppose -c = -f*i + 29, 0*c + 5*c = -3*i - 7. Suppose 2*u - q - 19 = 12, 0 = -3*q + 9. What is the remainder when u is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5810044, -5810043, -5810042, -5810041?\nAnswer: -5810040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 419*b - b**2 - 2*b**2 - 120*b + 54*b + 244*b = 0.\nAnswer: 0, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3 + 10 - 2 - 5 + d**2 - 3*d. Let n be a(12). Let r be n\/((-57)\/(-12) + -4). What is the highest common divisor of r and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*u - 11 + 11)*((2*u + u - 4*u)*(-u**2 + 0*u**2 + 3*u**2) - 2 - u**3 + 2).\nAnswer: 84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**6\/3 + 24*p**5\/5 + 31*p**4\/2 - 28*p**3 + 4050. Solve r(m) = 0.\nAnswer: -3, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-367756)\/129816*-3 + -5. Let h = a - 66\/601. Find the common denominator of (2\/(-20))\/((-1)\/109) and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121105 (base 6) in base 5?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29b (base 16) to base 11\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1321, -1331, -1355, -1399, -1469?\n\"Answer: -w**3 - w**2 - 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/12*-1*11\/(495\/(-18))*-305?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818362 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6706 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: (-62)\/(-80) - (-60)\/(-150)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2240\/800)\/((-8)\/(-10))*84\/(-490)*-65?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + ((123 - 0) + 0 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 853.66 + -853.6. Which is the biggest value? (a) 1 (b) 0.5 (c) h (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/24 - z**3\/2 - 2*z**2. Let q be r(-4). Let i be 4*q\/4 - -1. Solve 0 = n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(11) + -2 - ((sqrt(110)*-2)\/sqrt(10) - sqrt(11)).\nAnswer: -2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 - r + 2. Let q be k(-8). What is the nearest to -1 in -1, 2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 773, 1129, 1469, 1787?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -h + 94, 0 = 2*h + 9*o - 7*o - 198. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c, -122 - 7 = -l + 2*c. Suppose 165 = a - 148. Let f = a - l. What is the remainder when f is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3235.486 - -3189. What is v rounded to 1 decimal place?\nAnswer: -46.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319098 and 9906?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -406.\nAnswer: -3\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + s)*(18 - 18 + 9*s + (-963 + 963 - 11*s)*(3 - 2 + 0)) + 2*s**2 + 2*s - 2*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 - (-151)\/(40317\/178)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2 - 19*t + 72. Suppose -13*f - 449 = -722. Is u(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) 18 (c) -3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (-20 - 0) + (6718 - 6693)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 - 6*d**2 + 6*d. Let p(z) = 169*z**3 + 143*z**2 - 143*z. What is -6*p(i) - 143*x(i)?\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**3 - 11*o**2. Let g(d) = -3*d**3 + 6*d**2. Let r(f) = -f**3 - 20*f**2 - 2*f - 46. Let c be r(-20). Determine c*p(l) - 11*g(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/1573 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 58. Let f = 56 - 47. What is the remainder when b(f) is divided by (-50)\/(-2)*3\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/(-147)*18\/38\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743457260?\nAnswer: 2, 3, 5, 53, 397, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 1, y: 4, g: 1, m: 9}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*x = -763*x + 380*x + 130848 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89747 + 89691.267. Round z to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2929, -5\/7 in descending order.\nAnswer: 2929, -5\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 + d - 1)*(60 - 55 - 2 + 118*d).\nAnswer: 236*d**2 - 230*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 24. Calculate m(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 4*p**5 + 0*p**5 + (2*p**2 + 2*p**2 - 5*p**2)*(-17*p - 23*p + 36*p)*(-4*p**2 + p**2 + 5*p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26*(-49)\/(-14)*-1. What is the highest common factor of 182 and l?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/7512 and 91\/572790.\nAnswer: 2291160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:36 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -41879043.\nAnswer: -12563712.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let l = d + 9. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjiiji. What is prob of picking 3 i and 1 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let z be h(1). Suppose 3*l = -0*l + 18. Let c be (3\/(-2))\/(l\/(-8)). Solve c*u + z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 219\/7. Is z < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {f: 8, d: 5, z: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -1\/3 (c) 3 (d) -5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-281 - 5*v + 281 - 4*v**2)*(-8*v + 4*v - 3*v + (2*v + 0*v + 0*v)*(1 - 4 + 1)) to the form s*v**3 + u + l*v**2 + m*v and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18824, 18867, 18902, 18929?\n\"Answer: -4*t**2 + 55*t + 18773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50221983 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 700*x**2 - 2074*x + 64. What is n(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -702550 >= -702253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + 0.8. Let d = 3.3 - t. Let s be 2\/4 - (-22)\/(-20). Which is the closest to d? (a) -5\/3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose -s*f - 2 = -4*r, 2*f + 5 = 3*f. Solve r*n = 4*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - 16?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3292141, 3292139, 3292137, 3292135, 3292133?\nAnswer: 3292131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 959961947 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 3:51 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 (base 16) in base 7?\nAnswer: -5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 992299351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -27 + 18 + 11 + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-30)\/117*118833\/(-6094)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose -3*t = -a - 1, t + 5*a - y = -7. Let h = t - -17. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*g + 82*g = -1544*g - 74424 - 6720 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + b - 33 = 0, -15 = 2*u - b. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/420 + y**6\/180 + y**3\/6 - 3*y**2. Let s(g) be the first derivative of q(g). Find the third derivative of s(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112602 and 17934?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -54 (b) -5 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299*z**4 + 2*z**3 + 88*z + 301416541 with respect to z.\nAnswer: -1196*z**3 + 6*z**2 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 25*x + 2. Let c be q(2). Suppose 0 = 3*d - 8 - c. Solve -24 = 4*o - 4*z + z, 5*z = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62860 - -50395. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2 (c) 67\/5 (d) -14 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from jjqjvfjjjvvfv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 42*s**2 - s + 119. Calculate v(42).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let m(d) = 3*d**2 + 13*d + 9. Let i be m(-6). Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + i**2 - 4*i**2 + (-5*i + i + i)*(-3*i + 0*i + 2*i) + (8 - 3 + 0)*(-3*i + i + 9*i)*(-i + 0*i + 0*i) to d + o*i + w*i**2 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 3*n + 7. Let w(i) = -5*i**2 + 11*i - 22. Let v(s) = 4*w(s) + 11*z(s). Let x(y) = y**2 + 6*y - 6. Give -6*v(u) + 11*x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)*2 - -5*sqrt(54))\/((sqrt(48)\/sqrt(18))\/sqrt(12)).\nAnswer: 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose -w*h + 6 = -34. What is the remainder when h is divided by 8\/36 - (-244)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2641, 2708, 2921, 3352, 4073, 5156, 6673?\nAnswer: 8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05865158 rounded to 3 decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 31\/23403?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 5550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1 + 9*d + 7.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - 11 - (-7 + -26)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02098264368 rounded to seven dps?\nAnswer: 0.0209826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -h + 3 - 13, 2*h = -5*j - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24 = -4*a, 0 = 5*p - 3*a - 5 - 20. Let q be -9*2*p\/(-12). Find the first derivative of -b**q + 1 + 0 - b**3 wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 26598.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -22. Let x be (-12)\/(-1)*3\/(-6). Let g = 6 - x. What is the smallest common multiple of g and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/27 + 1\/27. Let q = -0.17 - 0.03. Which is the third smallest value? (a) -0.5 (b) q (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 117416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h**3 + 2)*(4 + 0 - 6) + 3*h**3 + h**3 - h**3 + 0*h + 0*h - h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35723472 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 1121. Give r(-126).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -56. Let g be i + 6*((-75)\/(-9))\/(-5). Let z(f) = -12*f**2 + 1. Let y be z(1). Do y and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 56954*s\/11 - 2331752\/11.\nAnswer: -2*(s - 28436)*(s - 41)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98577, 98550, 98525, 98502, 98481, 98462?\n\"Answer: n**2 - 30*n + 98606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:36 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14475635 - -0.14469. What is i rounded to six dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 439392967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -0.12. Let q = 0.1 - 0.1. Let m = -7 + 10. What is the third biggest value in g, q, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-2)*15770\/(-2490)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 8) + 3447\/(-12). Let z = -281 - v. Let -2 - 5\/4*h**5 + z*h**3 - 5*h + 5\/2*h**2 - 1\/2*h**4 = 0. Calculate h.\nAnswer: -2, -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 111, 110, 109, 108, 107?\n\"Answer: -v + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -49. Suppose -4*z + 6*z - 5*w = 253, z = s*w + 119. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11*q + 5 = -14*q, -23 = -4*a + 5*q. Let c(l) = -l**2 + 0 + 4 + 2 - 2. Let d(g) = 3*g**2 + g - 12. Calculate a*d(o) + 7*c(o).\nAnswer: -o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(-7))\/(o**(-6)\/o**3) assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 3, k: 1, i: 1, f: 1}. What is prob of sequence fz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t**3 - 17\/2*t**2 + 0*t**4 + 0*t - 57\/5*t**5 + 39. Find the second derivative of q(v) wrt v.\nAnswer: -684*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(-2)*1701\/126.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 5*y + y**3 - 3*y + 12. Let m be k(6). Is 2 a factor of 1\/(18\/68) + 44\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597211?\nAnswer: 7, 11, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -813.11 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 12 - 2*q + q**2 + 3*q. Let z = -47 - -52. What is the lowest common multiple of v(z) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f**2 - 2469*f - 47. Is x(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15915569 a multiple of 1007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.93 + -0.07. Let o = 28 + g. Let f = -10 + 9. What is the second smallest value in o, 3, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*w + 9, w - 2*w = -4*d - 3. Let x(f) = -f**3 + f + 8. Suppose 2*j - 19 = -7. Calculate the smallest common multiple of x(d) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 6*g - 7*g - 3*g. Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 39*j - 178 = -40*j, 342 = 4*x - 5*j. Let g = 159 - 155. Calculate the smallest common multiple of x and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 19*m + 15*m - 42, l - m = 10. Solve 0*a - l*a + 4 = 2*r, 52 = -4*r + 8*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10744318 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41462421 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - x. Let y be v(1). Suppose 0*a - 42 = -3*a + y*m, -4 = 4*m. What is the remainder when 38 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 5 - 3 - 5 + 3*p. What are the prime factors of n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1162031534 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 4 - 2*w + 3*w. Let z be c(-3). Suppose z = 4*f - 5. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 4310.84?\nAnswer: 4317.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7605 = 11729*c + 249128 + 869251 for c.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from 0.086.\nAnswer: -12.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/2*q - 5\/2*q**2 + 110.\nAnswer: -5*(q - 4)*(q + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041914?\nAnswer: 2, 520957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**3 + 3*b**2 - 7. Let v(l) = -5*l**3 + 2*l**2 - 5. Let f(k) = -k**2 + 9*k - 15. Let s be f(5). Calculate s*w(c) - 7*v(c).\nAnswer: -5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/105)\/(92\/(-322)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.1 - 41.1. Which is the second smallest value? (a) -3 (b) -36 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197182820?\nAnswer: 2, 5, 7, 3617, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/96*(27\/4 - 3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 3 + 47 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 28, -2\/759, 3, -4 in descending order.\nAnswer: 28, 3, 1, 0.1, -2\/759, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 319775224 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78212705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.1. Let s = f - -0.6. Let z = -6.7 + 7.7. Sort -1, z, s.\nAnswer: -1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/52 - (-149)\/4. Is m - (1 - (0 - -4)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275, -1.9207, 3.\nAnswer: -275, -1.9207, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l + 0*l - l - 3*l + 3*l**3 wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 294136789 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 + -1271741?\nAnswer: -1272030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1440 + 6329. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5119\/2210 + 4\/85. Let s = 36\/13 + y. Are 11 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16*t*t**1)\/((t*(((t\/(t**(-9)\/t))\/t)\/t)\/t*t)\/t)**(-11))**(-29) assuming t is positive.\nAnswer: t**(-3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 81aa?\nAnswer: 81ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/(-1) + 3. Suppose 0 = 3*j + 42 - 48. Solve y*p - 16 = 0, j*p - 22 = -5*f - p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 8 + 8)*(7*s + 6*s + 4*s) in the form v + q*s**2 + h*s and give q.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1330\/665*(-22)\/4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - -358. Suppose 0*g + 6*g + w = 0. Let l = -22 - g. Let s(c) = -c**2 + 7*c - 4. Determine s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 6549 (c) -1 (d) -1\/5 (e) -2\/17 (f) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 1446718473.799?\nAnswer: 1446718474.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3588, 14525, 32798, 58407, 91352, 131633, 179250?\n\"Answer: 3668*h**2 - 67*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 458 = 557. Suppose 5*w - 440 = -65. What is the lowest common multiple of k and w?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.6115951 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -577170 - 582805?\nAnswer: -1159975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-2 - -2)*-1. Suppose 5*r = -2*y, -t*r + 4*r = -5*y - 23. Suppose 0 = -0*u + r*u. Solve -l - l + 10 = u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3*a + 4)*(5*a - 5*a + 2*a).\nAnswer: 6*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 40*o - 164 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -84 + 6*o + 84. Let v(z) = 67*z. Calculate v(i(s)).\nAnswer: 402*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1399740231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545262 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7961, 31816, 71565, 127208?\nAnswer: 198745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2210\/34)\/13*4*-1*2\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*g - 57 + g**3 - 136 - 224*g**3 - 36 - 12*g wrt g?\nAnswer: -669*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 70 + 38 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10328 + 19633. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27926248 and 861.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 + -1618\/11. Let y be (16\/5)\/4 + 4. Let q = y - 4. Which is the nearest to -0.1? (a) 4 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**2. Let o(d) be the second derivative of 5*d**3\/6 + 3*d**2\/2 + 469*d. Determine j(o(y)).\nAnswer: 250*y**2 + 300*y + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 1.22, 3\/8, 1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/578 - -28619\/4624. Let x = -69701\/1509295 + -5\/7642. Calculate the common denominator of x and s.\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((10\/(-160))\/(5\/(-20)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 52 = 11*d. Let k be 2*-2*91\/d. Let c = k + 25. Sort 0, c, -2.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130 - 133) + (3 - 9 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 0*v**2 + 10419 - 12*v**2 + 3*v**2 - 10444.\nAnswer: -2*v**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13921109*h - 29131064*h - 34750475*h.\nAnswer: -77802648*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovovvvovv. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135238 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259 + 265. Solve 11*x + p*x = 85 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*m**5 + 214*m wrt m.\nAnswer: 1360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 2. Let x be q(1). Let n(l) be the third derivative of l**4\/24 + 5*l**3\/6 + 5*l**2. Determine n(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6125517 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51422366.4 to the nearest ten thousand.\nAnswer: -51420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -5?\nAnswer: 114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 947 = -5*d + 454 + 608, -3*c + 7*d - 149 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 4*j. Suppose -5*z + 14 = -b, b - j = -2*b. Suppose 5*h - 14 = z*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 0.8. Let x = m + 0.04. Let g = -0.07 - x. Round g to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 6:13 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(51)\/sqrt(3)*-1.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 29*p**7\/105 - 13*p**3\/2 - 28*p**2 - 2*p. Differentiate h(w) wrt w.\nAnswer: 232*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651 divided by 651.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m = 5*c - 7 - 107, -4*c - 1 = -m - 1 - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -5.3. Let b = 2427052.38999987 + -2427055.59. Let h = q + b. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -40200?\nAnswer: -40143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 6*r + 0*r**5 + 0*r**6 + 0*r**4 + 0*r**2 + 0 - 4\/3*r**3 + 1\/7*r**7. Find the second derivative of l(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c. Suppose -14*x + 7*x + 63 = 0. Let z(u) = 4*u + 2*u**2 - 5*u + 2 + x*u - 5*u. Let a be z(0). Give n(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2*p**2 + 2*p**2 + (4*p + 2*p - 2*p)*(130*p + 1642 - 1642).\nAnswer: 519*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 0.01, 3, -15105 in decreasing order.\nAnswer: 3, 1.2, 0.01, -15105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -63. Solve 5*c + 5*w + 15 = 0, -5*c + 4 = -q*w - 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 9 + 29*u**2 + 20*u**2 - 83*u**2.\nAnswer: -28*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 1, -22, -4 in decreasing order.\nAnswer: 18, 4, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18. Suppose 3*j + b - 4 = -y*b, 5*j - 4*b = 18. Find the third derivative of 22*q**j - 28*q**2 + q**5 + q**5 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218148293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1013445 and -349.\nAnswer: -346.8986555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -42*p + 43*p. Suppose -p*m - 17 + 146 = t, 0 = 2*m - 8. Find the common denominator of 2 - (-2)\/(-32)*t and 79\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.55, -96, -5?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5) + (0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39248 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4907 - 6389 = -78*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 8 - 6*o**2 - 5 + 67 - 17.\nAnswer: -6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 5*y + 1. Let q(t) = -4*t**2 - 7*t + 1. Let f be ((-42)\/(-3))\/2*(-5 + 4). Give f*n(m) + 5*q(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2969734.77 + 0.246.\nAnswer: 2969735.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 - 428 = -7*t. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j**3 - 2*j + 1. Let i be n(1). Let q = 21 - 19. Suppose 0*u - 14 = -2*k - 4*u, 15 = k - q*u. What is the greatest common factor of i and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 0.1, -1\/11726?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupmc. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -103*f**2 - 107*f**2 + 3 + f**3 + 207*f**2 - 2*f**3. Suppose u + 3*h = -h - 15, -h = 3. Give y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose 0 = y*f - 6*f + 4. Let r = f - 4. Put r, 1, -4 in descending order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 2*i + 22, -x + i + 7 = 0. Suppose 2*o - 11 - 73 = -2*a, -2*a + 72 = -x*o. Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 100\/8. Suppose 4*b + 3*u - 211 = 134, 4*b = 3*u + 327. What is the highest common divisor of k and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpprhrb. Give prob of sequence rhtp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 31200*d - 6167799\/2.\nAnswer: -(d - 62301)*(d - 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 150 = -20. Let y(l) = l**3 - 15. Let j be y(0). Let w = q + j. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, t: 3}. What is prob of sequence tttj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061312 a multiple of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 822, -5, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (40\/6)\/(3\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + r + 1 - 2)*(4 + 2 - 1 + (4 - 3 - 2)*(-1 + 3 + 2) - 3 + 1 + 0 + 3 + 11 - 3) in the form y + d*r and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9642, 9629, 9600, 9549, 9470, 9357?\n\"Answer: -j**3 - 2*j**2 + 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-20) - (-23)\/4 - 38031\/63. Is s bigger than -597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j - 3*j + 1197. Put -0.1, -5, j, -4 in descending order.\nAnswer: j, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*p + 36340021 = 0, 432*t + 3*p = 427*t - 181699979. What is t rounded to the nearest 100000?\nAnswer: -36300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14991552 divided by 5.\nAnswer: -14991552\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -14931, 0, -9 in decreasing order.\nAnswer: 1, 0, -2, -9, -14931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - a + 42 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1242*b + 81 - 29 - 27 - 20.\nAnswer: -1242*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n. Let l(u) = 19*u. Calculate l(a(z)).\nAnswer: 437*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 13) in base 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3198302, 6396600, 9594898?\n\"Answer: 3198298*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 - -1053. Let a = 569 - k. Let n = -8 - -16. Calculate the remainder when a is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g + 55. Let n be m(15). Let u = n + 54. Solve u*z - j - 7 = 0, 4*j = -5*z + 9*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(6\/7))\/(w\/w**0)*w**39\/(w\/(w\/(w**28*w*w))) assuming w is positive.\nAnswer: w**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13460.47 rounded to the nearest ten?\nAnswer: -13460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = 17*k + 10*k + 320 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 5\/7, -4, -1\/5, -0.244, 0.3?\nAnswer: -0.244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 765*v**2 - 290*v + 287. Calculate l(1).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 7326?\nAnswer: 51282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -j - j. Suppose 4*v + 14 = 5*y - 6, -3*y = v + 5. Suppose -5*p = i - 156, j = -y*p + 2*p + 2*i. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:59 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d + 10. Let v(k) = -13*k - 21. Give -4*v(p) - 9*z(p).\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12383, 12377, 12367, 12353, 12335, 12313?\n\"Answer: -2*c**2 + 12385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*z + 1088 = 0, 4*z - 1622 = 19*k - 22*k. What are the prime factors of k?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: What is -0.18 plus -235134?\nAnswer: -235134.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) -5 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 528 and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*f**2 - 1080*f.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.3, -4\/3, 2\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/60 - 13*p**4\/24 + 7*p**3\/6 - 2*p**2. Suppose 3*x + o - 11 = -49, -23 = 3*x - 2*o. Does 14 divide n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 23 = -h, 58*h = 9*w + 62*h - 64 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2612 by -653.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and 17\/322264?\nAnswer: 2900376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 30, -56, -198, -408, -698, -1080, -1566?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 324407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20556 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 50 = -p. Let x be ((-16)\/p)\/((-4)\/(-110)). Suppose x = 2*y - 26. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*((sqrt(180) + sqrt(180)*2)*-2 + sqrt(180)))**2)*-5.\nAnswer: -360005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10665637 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3618*m**3 + 2*m**2 - 6320*m - 11. Let x(y) = 1809*y**3 - y**2 + 3161*y + 6. Let s(g) = -6*c(g) - 11*x(g). Find the second derivative of s(z) wrt z.\nAnswer: 10854*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/(1\/3). Suppose -v*g - 15 = -13. Let z be (-9 - g) + 1 - 2. Sort z, -3, 5.\nAnswer: z, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/33*(-14 + -6 + 17).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -464, -663, -862, -1073, -1308, -1579?\nAnswer: -1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 10*s + 6*w - 66, -2*s - w + 21 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - b - 3*b)*(0 + 2 + 0)*(-168 + 94 + 119).\nAnswer: 180*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + (-2167)\/(-154))*(3*4)\/2. Let q = -138 - -2068\/15. Sort -5\/4, q, f in decreasing order.\nAnswer: f, q, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 - c**4\/6 - 5*c**3\/6 + 18*c**2. Determine u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 4527 + 253 = 0. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjssej. What is prob of picking 1 h, 1 s, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-30)*n))\/(n*n\/(n*n*n**(-1\/32)*n*n)))\/(n**(-15)*n**(1\/65)*n) assuming n is positive.\nAnswer: n**(95583\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-100)\/(-35))\/((-3)\/((-231)\/(-11))). Solve -5*p = -3*h + k - 39, -8 = 4*h + 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.024 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 17*t**2 - 5*t + 8. Let r be b(11). Suppose 3*z - 1368 = r. What are the prime factors of z?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638917005.9425+3\nAnswer: 638917008.9425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 494132636 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*f)*(1 + 3 - 3) - 4*f + 4*f + 5*f - 5*f + f + 2*f + (-3 + 2 + 3)*(-3*f + 4*f - 3*f) to c*f + m and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2125 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007281 to 6 decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, 2\/5, 3.9, 0.1, -2\/511 in decreasing order.\nAnswer: 6, 3.9, 2\/5, 0.1, -2\/511, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 + 10*k**2 - 6*k + 23. Calculate j(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0540583us to seconds.\nAnswer: 0.0000000540583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(363)*2 - sqrt(363)))**2.\nAnswer: 88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9980847.147 rounded to the nearest 100?\nAnswer: -9980800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*z - 38389 + 9604 = 0. Solve z = 2*i + 99 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Which is the third biggest value? (a) 2\/11 (b) 0.8 (c) -3\/5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11 - 4*l - 13 - 8 + 22*l. Let p be y(-6). Let s = -21 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(((-24)\/18)\/(1660\/(-747))))\/(10\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13913569*t - 100805064 with respect to t.\nAnswer: -13913569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9801093, 19602194, 29403303, 39204420, 49005545, 58806678, 68607819?\n\"Answer: 4*m**2 + 9801089*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3987270 - u - 4341*u**2 - 3987269 - 8316*u**2.\nAnswer: -12657*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1\/5*y**4 + 0*y - 4\/5*y**2 - 4\/5*y**3 + 47. Suppose i(p) = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15\/80*4 + (-1275)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174268 - 174264.89804. Let y = d + -3.1. Round y to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20389 - 18.59\nAnswer: -20407.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, -5, -4, 1 in decreasing order.\nAnswer: 1, -4, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*w + 8, -724*w = -728*w + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98\/35 + ((-6)\/(-10))\/3. Suppose -11 = -k*m - 86. Let x be 1 + (-10)\/m + 93\/5. What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -2 (c) -8\/1633 (d) 0.4 (e) 0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let g(r) = r**2 - 3*r + 2. Let u be g(3). Let b(c) = 8*c**u - 99 - 29*c**2 - 14*c**2 + 99. What is b(y(v))?\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/(64\/72)*40\/(-18) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**2 - 718*b - 193. Let u be a(-65). Sort 5, u, -9, -22, 1 in descending order.\nAnswer: 5, u, 1, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -16011839*z**2 - 7. Let l(k) = -k. Calculate n(l(i)).\nAnswer: -16011839*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 4*m + 3. Suppose 9*i - 4 = 11*i. Let o be b(i). Is 0 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -2 - (-1)\/(-1). Suppose 2 = 2*c, 2*c = -w*h + 5*h - 33. Suppose 2*b - 32 = 6. What is the remainder when b is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.1 - 37. Let t be 1*-2 + 114\/54. Let j = 6\/5 + -8\/5. Which is the nearest to d? (a) -0.06 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7\/(-3))\/(14\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -193.6. Let x = -16.58 + f. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -113, -8, 1.\nAnswer: -113, -16, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:46 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most 749761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i - 10*i. Sort 2, 4, i, 3 in decreasing order.\nAnswer: 4, 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 70. Solve -2*x - x - 3*g + 3 = 0, -x = -s*g + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + (sqrt(2736) - (-1 + sqrt(2736) + -2)) + sqrt(2736)*1 + 3 + -2))**2.\nAnswer: 1296*sqrt(19) + 24948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1\/(-21))\/(29\/(1015\/360)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88341345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -66\/245, 2, 212?\nAnswer: -66\/245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770 rounded to the nearest 10?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 16*l + 34. Let z be t(-3). Put -5, z, -58, -1 in descending order.\nAnswer: z, -1, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 140362752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 9972 = -28*k - 11407 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 4649. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -274, -249, -204, -133, -30, 111, 296?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19022127 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-320)\/180 + (-2)\/9. Which is bigger: b or -228\/71?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1058\/105 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/(154\/(-21)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2460 - -2479. What is the remainder when 93 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*q + 25, -3*s + 35 = -q + 5*q. Suppose s*o + 1179 = 4814. What are the prime factors of o?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029264217 rounded to five decimal places?\nAnswer: 0.02926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9112890 is divided by 911.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 4*m + m + 8*m**3 - m.\nAnswer: 8*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(528) - 2*sqrt(528) - sqrt(528)))\/(sqrt(77)\/(sqrt(7)*-2)) + 0)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42343 and 8.\nAnswer: 338744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(432)*2 - sqrt(432) - sqrt(3)) + 1*sqrt(192) + (sqrt(3) - (sqrt(6)\/sqrt(2) + -1)**2).\nAnswer: -8 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -76877, 3.\nAnswer: -76877, -13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/10 (b) 1\/2 (c) 0 (d) 9 (e) 357\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.63621 and -0.6.\nAnswer: -11.781726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6999577468 to the power of 1\/2, to the nearest integer?\nAnswer: 83663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/258952441 and -17\/9.\nAnswer: 2330571969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 3375?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1538.\nAnswer: -3\/1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -89 and -0.107.\nAnswer: -89.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 89699733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 132*b**2 - 516*b.\nAnswer: -3*b*(b + 4)*(b + 172)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty-five sevenths of a week?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 5*i**4\/24 + i**3\/6 - 18*i**2 - 3. Determine d(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102121001221102 (base 3) in base 4?\nAnswer: -113200130102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 8, 1, -12?\n\"Answer: -3*o**2 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmgxmgxxxgmxg. Give prob of picking 2 g.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-403790)\/2682 - -148)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*o + 12868, 0 = -5*o + 4*s - 7*s + 21390. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 11806591*w\/2 + 139395591041281\/4.\nAnswer: (w - 11806591)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.745 - 386?\nAnswer: -326.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w - 125*w + 10920. Calculate the least common multiple of w and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 - -5 - (-17 - -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.098 in -5, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-14 - -5 - -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 - -347. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1008635\/2 or -504319?\nAnswer: -504319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 85. What is the fourth biggest value in 0.5, -1, p, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 1.6. Sort f, 3, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105178 + -15818. Let a = p + -89299.0086. Let g = a + -61. What is g rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 12 = -4*j, 0 = 5*i + 3*j - j - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Let c be (11 - 2)*2\/3. Suppose s*h + v + v = -c, -v - 3 = -h. Solve -y - 2 = -h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 963 - 648. What is the hundreds digit of 40509\/u - 6\/20*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.751 + 41.5. Let w = -34.049 + 34. Let k = w + g. Which is the closest to -2\/5? (a) k (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78403758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22140695 is divided by 908.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Suppose 4*u + v = 19, -r*u + 43 = 3*v - 8*v. Solve i + u = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95940939 and 558.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887712444 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -921\/11869 or 1?\nAnswer: -921\/11869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86313688 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3003 - -1015.9503. Round b to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111011101 (base 2) to base 7.\nAnswer: 11566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 34*f - 30*f. Which is the third biggest value? (a) f (b) 0.1 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 7:10 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3217 divided by -3217?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1930 and -94\/2895.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 - -3.1. Which is the nearest to k? (a) 0.3 (b) 7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 15*m + 22. Let i(k) = k**2 + k + 1. Let y(c) = 2*i(c) + v(c). Let q be y(18). Calculate the highest common factor of 42 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 33\/8, -0.5, 0.3, -2\/11, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v. Let l(p) = 5*p**2 - 14*p + 4. Let j(m) = -l(m) - 4*x(m). Let t be j(9). Suppose t*u = 3*u - 2440000. Round u to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542935 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22948880?\nAnswer: 2, 5, 37, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8 take away -2939?\nAnswer: 2951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-4)\/(-1)*-4*(-27)\/(-180)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3, 0.1, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5944 - 5356. Is -0.6 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**5 - w**3 + w**2 + w + 1. Let f(v) = -732*v**5 + 6804*v**4 + 12774*v**3 + 6415*v**2 + 1265*v + 85. Let u(j) = f(j) + 3*m(j). Solve u(i) = 0 for i.\nAnswer: -1, -2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -161, -281, -401, -521?\n\"Answer: -120*g + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -73. Calculate the remainder when 226 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54111864 divided by 12\nAnswer: -4509322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 476 times 4.3562\nAnswer: 2073.5512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 14) + 0 + 18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 30. Suppose -3*y = 4*f - 50, 5*y + 7 = -f + d. Let z = -1064 + 1063.6. Which is the smallest value? (a) f (b) 6\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123603, -123598, -123593, -123588?\nAnswer: -123583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 14 = -2*v, 5*u + 0 = -4*v - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 - 19*s**2 - 19*s + 7. Let y(q) = -3*q**3 - 9*q**2 - 9*q + 3. Let j(x) = -2*n(x) + 5*y(x). Determine j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7267522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 2 = -z - 2*p, 5*p = z - 25. Let q(d) be the third derivative of 3*d**5\/20 - d**3\/6 - d**2. What is the remainder when z is divided by q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3437.55 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46451 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-27)\/9)\/((-9)\/108*(-12)\/6)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21170, -21171, -21162, -21137, -21090, -21015, -20906, -20757?\nAnswer: -20562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -49*m + 3142. Let w(p) = -367*p + 21994. What is -30*s(n) + 4*w(n)?\nAnswer: 2*n - 6284","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.65 - 27.65. Let n = 27 + w. What is the closest to -0.1 in 0.5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 - 2*z. Let w(a) = 3*a**2 - 4411*a - 2*a**2 + 4411*a. What is w(r(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/13, -0.03, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51941 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*v = 26, r - 5*r - 4*v = -28. Let n be (r\/36)\/(2\/(-3)). Let x = -14\/9 + 55\/18. Which is the closest to 1? (a) x (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4242460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 1592*m**2\/3 - 15649*m\/3 + 90174.\nAnswer: -(m - 9)*(m + 19)*(m + 1582)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 85 = -0*f. Let w(b) = 54*b - 2279. Let s be w(40). What is the hundreds digit of (-2)\/f + (-12719)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3495 - -3588. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -29 + 17 + 28 - 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 522*y**2 - 2583*y - 1042. Determine j(517).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22752*g = 1012410 - 762967 - 2661155 for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221 - 4446 = 550*n + 16733 + 36000 for n.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284291?\nAnswer: 7, 17, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**5 - 113*d**4*m**2 - 10*d**2*m**2 - 33*d**2 wrt d.\nAnswer: 240*d**2 - 2712*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 0 + 49 = 0. Solve m - 6*m - 3*g = -25, 4*m = 3*g - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 2*g**7\/105 + 41*g**6\/120 - 131*g**3\/6 - 119*g**2 - g. Differentiate f(t) with respect to t.\nAnswer: 16*t**3 + 123*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3690)\/(-38) + (752\/76 - 10). Which is smaller: 98 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*n**2 - 3*n**2 + 14193*n - 14185*n + 0 + 0 + 2*n**2 + (1 - 1 + 2)*(4*n**2 - n**2 - n**2) - n + n + n**2 to the form q*n + o*n**2 + t and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(52)\/sqrt(4) - (sqrt(13) + 3)*1) + (-4*sqrt(143)*-2)\/(sqrt(11)*2*-4))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g + 5*u - u, 3*g = -2*u - 4. Suppose -2*s + 12 = -4*d, 0 = -5*s - 0*d - 3*d - 22. Let t be (-2 - 1)*s\/(-3). Is g at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.867476 litres?\nAnswer: 4867.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720)*1 + -2))**2 + -1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 174*r**3 + 1104*r**2 + 1698*r + 765 = 0. What is r?\nAnswer: -51, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-6 + 10 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 1, r: 1, d: 1, k: 1, c: 1}. Give prob of sequence kfld.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from {k: 3, f: 2, q: 15}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 49\/(-28) - (-1)\/(-4). Is h at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from lfcqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + -2.89. Which is the nearest to g? (a) 6 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 + (-5)\/(-10). Let d = 0 + w. Solve -3*j + 7*j + 9 = -d*x, 3*x + 5*j - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -27.06.\nAnswer: 784.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*k + 16, -2*k + 4*k = 4*u - 2. Let b = 322 - 320. Sort k, -4, b in descending order.\nAnswer: b, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z - 2*z)*(-1 - 2 + 2)*(6*z - 6*z + 28*z**2).\nAnswer: -84*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30715 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/sqrt(5) + (sqrt(7) - sqrt(21)\/sqrt(3)) + 1 + -2 + (-6*(-2*sqrt(84) - sqrt(84)))\/(sqrt(24)\/(sqrt(18) - sqrt(2))))**2.\nAnswer: -80*sqrt(7) + 11201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24929052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178100381015444 + 178100381015444 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 r when four letters picked without replacement from {x: 3, r: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 14973\nAnswer: -34\/14973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -48091*r - 1346525. What is y(-28)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**2 + 10*a - 9. Let r be v(-3). Find the first derivative of -7 + 14 + 14 + 32*m + r*m wrt m.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/210) + -2. Suppose 61 = r - 0*r + 2*k, 5*k = r - d. Let a = r + -25. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 25*x + 5. Let d be s(33). Suppose 7*k = d + 221. Calculate the lowest common multiple of 7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277886.3 centuries to millennia.\nAnswer: 27788.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -520?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 4 - 4)*(0*j + 4*j - 2*j)*(-2 - 3 + 4)*(39*j - 243 + 243)*(-9 - 21 - 2).\nAnswer: -2496*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273308?\nAnswer: 2, 17, 101, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 46.240194?\nAnswer: 77.240194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(2*a**2 + 2*a**2 - 2*a**2) - 5*a**2 + 3*a**2 + 4*a**2 + 39*a**2 + 11*a**2 + 26*a**2.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5596840222 to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/3 - (-10)\/30. Find the third derivative of 2*f**2 - 2*f**4 + 10*f**s + 2*f**4 wrt f.\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2754*g + 19350. Determine n(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(-6*1*sqrt(76))\/sqrt(4) - -4*((sqrt(684) - (sqrt(684) - (sqrt(684) + 0) - sqrt(684)))*-4 - sqrt(684))).\nAnswer: -252*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/1*((-2)\/4 + 1). Let r = -18 + 34. Suppose t*a - 28 = r. What is the lowest common multiple of a and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948, -7200, -24170, -57216, -111696, -192968, -306390, -457320?\nAnswer: -651116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**9\/7560 + x**5\/15 - 5*x**4\/12 - 9*x. Let r(b) be the third derivative of z(b). Differentiate r(c) wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/18 and -83\/5976414.\nAnswer: 5976414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 213\/(-6) + (-1)\/(-2). Suppose -2*s - 2*d = -378, 941 = 5*s - 0*s + 4*d. Let p = 151 - s. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.17208 + 1.17. What is d rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/5, 3643, -0.035?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 53) + (-70 + 137 - 107).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 46. Let c = -52 - n. Suppose -c*m + 2725 = -6275. Round m to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let v(a) = 3*a - 4*a + 15698 + 24*a - 15701. Calculate v(b(s)).\nAnswer: 46*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4716, 4717, 4718, 4719, 4720?\n\"Answer: q + 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9887 + 11207. What is the greatest common factor of h and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 + 47 - 26)*(1 - 1 + 1 - 3*g) - g - 5*g + 4*g + (3 - 4 - 1)*(-3*g - g + 2*g).\nAnswer: -523*g + 175","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -1 - (-1222)\/(-260))\/(15 - (-4905)\/(-325)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/57, -4, -1, 14, -2?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 128 - 132 = 0. Differentiate -g*x - 3*x + 8*x + 25*x - 12 with respect to x.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117)\/(sqrt(36)\/sqrt(4)*-1) + -3.\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 5*p - 55405, 11085 = m - 3*p. What is the derivative of -11079*z + m*z + 19 + 17*z**2 wrt z?\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let b(s) = -3*s - 1. Let h be b(k). Find the second derivative of 4*u**4 - 10 + 10 + h*u wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**3 - o**2 + 130*o + 565. Calculate p(-6).\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r + 8. Let n(k) = 16*k + 10. Let m(q) = 4*n(q) - 5*y(q). Let l = 5 - -2. Calculate m(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 5*w - 7*w)*(27 - 53 - 27)*(4*w**3 + 4 - 4).\nAnswer: 2968*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73053899*j - 43850671 wrt j.\nAnswer: -73053899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738864826.\nAnswer: 2, 7, 1597, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8758 is divided by 133?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 521088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (156\/36)\/(-13) - (-12166)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5 = -s, -10*s - 29112 = -m - 29131 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 + -5. Let n = 16 - 13. What is the closest to 0 in 1\/5, n, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 14*x + 20*x)*(6*x + 5*x - 6*x) + (2 + x - 2)*(-x + 2*x - 3*x) to t*x**2 + w + l*x and give t.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -20. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31 - -60)*(2 + 161 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 18. Let w be d(8). Let x be (-1 - w)\/((-6)\/(-4)). Which is bigger: x or -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(242) - -1*sqrt(242)) + sqrt(242))*2 - (sqrt(22)\/(sqrt(11)*-2) - (sqrt(8)*2)\/sqrt(4))).\nAnswer: -137*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let r(c) = i*c - 1 + 0*c - 3*c + 2*c. Let z be 2 - (-3)\/(-6)*10. Give r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*g - 63. Suppose g*n - 10*n + 24 = -5*d, -4*n + 147 = -3*d. Calculate the remainder when (-225)\/(-3) + (-3 - -3) is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*y**4 - 2514 + 5*y + 59*y**3 + 12*y**4 - 5*y + 2516 to the form m*y + d*y**4 + j*y**2 + o*y**3 + s and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7565, -17, 103, -2 in increasing order.\nAnswer: -17, -2, 1, 103, 7565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 388, 785, 1190, 1603, 2024, 2453?\n\"Answer: 4*h**2 + 385*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j*j*j*j*j**(5\/4)*j)\/j)**(-13)\/(j**10*j**(-4)*j))**8 assuming j is positive.\nAnswer: j**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*z + 4 - 0, -3*z - 6 = 3*t. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1492*q + 6046. Let n be s(-4). Solve n*f - 220 = 34*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 3, -15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*k - 51 + 231 - 180 - 19*k**2 to y*k**2 + z + b*k and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.56, 2, 3\/23, 2\/9, 261 in increasing order.\nAnswer: -4.56, 3\/23, 2\/9, 2, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 11. Let b = g + -3. Suppose -4*p = -2*p. Solve -b*v - v - 12 = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-5))\/(1\/5) + 3. Let f(g) = -g**3 - 7*g**2 - 9*g + 8. Let v be f(k). Sort -1, v, -5 in descending order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-88))\/(3\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000593347 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723262722761*k - 723262722761*k - 24*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2386 + 2386 + 64*p**3 + (-p**2 - 4*p + 4*p)*(-3*p + 3*p + 2*p).\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18187 + 19999. Calculate the remainder when r is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -61109*z**3 + 15*z**2 + 13*z - 6. Let q be h(-6). Round q to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*i + 5 - 5 - 1)*(-283*i**2 - 339*i**2 + 440*i**2) to a*i + d*i**2 + u*i**3 + s and give u.\nAnswer: -8554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z - 2. Let s = 194 - 187. Determine g(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1920\/675)\/(-32))\/((-2)\/3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.0235ml to litres.\nAnswer: 0.8830235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342860 (base 12) to base 6.\nAnswer: 25513400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 468 (b) -4 (c) 0.1 (d) 2\/9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i + 32 = 0. Let g(h) = -11*h**2 - 2*h - 3. Let m(n) = -4*n**2 - n - 1. Let s be 0 + 15\/(9 - 4). Determine i*m(a) + s*g(a).\nAnswer: -a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 370*w**2 + 7*w + 7. Calculate the remainder when z(-1) is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25469 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 39*v**2\/4 - 207*v\/4 + 297\/4.\nAnswer: -(v - 33)*(v - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l*m**3*y**2 - 3*l*m**2*y**2 + l*m + 2*l*y + 119*m**3 + 3*m**2*y + m**2 wrt y.\nAnswer: 14*l*m**3 - 6*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 b when four letters picked without replacement from bcricb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 - 77. Let q(f) = f**2 - 22*f + 44. Let l be q(i). Let p(b) = -l + 47 - 4*b + 3*b. What is p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*w - 98. Does 13 divide 273\/w*2*-1*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from zccczzcccccczccccccc.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 53*t**2 + 11*t + 19. Give o(-53).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3608, -12, 0.1, -17.\nAnswer: -17, -12, 0.1, 3\/8, 3608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42645, 45038, 49027, 54612, 61793?\nAnswer: 70570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/4)))**(-2\/77)\/(n**(-2\/3)*n*n)**15)\/((n\/((n\/n**1)\/n))**18\/(n**1)**29) assuming n is positive.\nAnswer: n**(-4157\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 - 50 = 0. Let r = j - -35. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95508 by 21.\nAnswer: -4548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*k = p - 27, 0 = -p - 5*k + 18. Let c(w) be the second derivative of w**3\/2 - 2*w**2 + 6*w. What is c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/59, 0.1, -2, -0.3, 2.32?\nAnswer: -9\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 34124559297.\nAnswer: 34124559300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.527 and 107728872?\nAnswer: 107728874.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + 16*o**3 - 4*o**3)*(0 + 0 + 1) - o**3 + o**2 - o**2 + (-2*o + 2*o + o**2)*(3*o + 3 - 3) in the form g*o**2 + u*o + h + i*o**3 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Suppose -40*g = -38*g + 10. Let n = -0.93 - -1.23. Which is the third biggest value? (a) s (b) 0.05 (c) g (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -634462 - -3?\nAnswer: -634458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:57 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -25)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlulzzlz. What is prob of sequence zl?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(-2 - 3 + 1).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92596.17 + 4988491.83. Let v = a + -5081089.00000036. Let m = -1 - v. What is m rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 6873.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m*m**(2\/7)*(m*m\/(m*m**1*m))**(-13) assuming m is positive.\nAnswer: m**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*r, 0 = 2*q + 5*r + 7 - 259. Suppose -4*t + 20 = -q. What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-4)\/60)\/1*3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.401 - -1.801. Which is the closest to 3? (a) k (b) 3 (c) 42\/5 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 11) to base 15\nAnswer: de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1145 * -2\nAnswer: 0.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 57*x**2 + 110*x - 33. Determine f(55).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1397 - 11)\/11)\/(-2). Let l = 446 - 256. Let o = l + a. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r - 5*l = 31, 2*l = -2*r - 4. Factor 3*q**3 - 3*q**3 - q**r.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*a - 1817*a + 988*a.\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**9\/432 + 17*c**6\/360 - 2*c**3\/3 + 24. Let g(n) be the third derivative of r(n). Find the third derivative of g(s) wrt s.\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 2*f - 1. Let t be m(1). Let y(s) = s**3 - 5*s**2 - 7*s. Calculate y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 209. Which is the closest to 2\/9? (a) 4 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 332 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 369177589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 12*v - 28. Let s = -90 - -73. Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925 < 12924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 75 - -1) + 1. Find the third derivative of -78*z**5 + 1 + 8*z**2 + 3 + m*z**5 + 9*z**3 wrt z.\nAnswer: 60*z**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ffiffbbfbybfyffffbfy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 6*n + 2. Let i(d) = d. Calculate -b(p) - 6*i(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 10. Let s be 0\/((-1)\/((-2)\/4)). What is the second derivative of 2*b**x + s*b + 2*b - b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26905641, 53811290, 80716939, 107622588, 134528237?\n\"Answer: 26905649*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-815)\/44988)\/(15\/12)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - n - 2. What is a(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -451527343 divided by -19\nAnswer: 23764597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**5 - 7*r**3 + r**2 + 1. Let a(n) = 128*n**5 - 3400*n**4 + 26166*n**3 - 39693*n**2 - 3. Let o(c) = a(c) + 3*p(c). Factor o(q).\nAnswer: 5*q**2*(q - 2)*(5*q - 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/4)\/(42\/(-112)) + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 63, 3 in descending order.\nAnswer: 63, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18 = 68. Let r = u - 9. Suppose 5*k + 28 = 2*t, -2*t + 3*k - 1 = -21. What is the least common multiple of r and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246572947 to the nearest integer?\nAnswer: 35307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.762835s to nanoseconds.\nAnswer: 6762835000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 3*o**2 - o - 1. Let j be i(2). Let a be (0 + -1)\/j + 1. Suppose -2*u + 4 = -0*u. Solve 0 = -u*k - a*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 4, 10, 18, 28, 40?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 t when three letters picked without replacement from {s: 3, l: 2, t: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1375 and 1625.\nAnswer: 17875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 13 = -u - 3*o, -23 = -4*u + 3*o. Suppose 3*j - 2*c + 1 - 5 = 0, 2*c = -3*j + 8. Suppose j*t - 57 = -5*s, 3*s = -2*t - u*t + 93. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3024 = -6*r. Suppose -4*x + b + 3*b = -r, 3*x - 372 = 5*b. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + 1)*(119\/21 - -2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -248cd10 - -5?\nAnswer: -248cd0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 15*k - 41. What is n(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -11*x + 103, 5*r - 64*x + 59*x - 100 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-929)\/8388 + -3 + -4. Let u = -41112383\/2796 + 14704. Let a = u - l. Find the common denominator of a and -7\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*p**3 - p + 1 + 3*p - 44*p**3 as q*p**3 + x*p + f + w*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267622.8 + 267622.77400129. Let i = a + 0.026. What is i rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x = -2. Suppose -2*o - x*o + 20 = 0. Suppose -2*r = -o*i + 161, -2*r - 34 = -2*i + 34. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f)**(-47)*(f*f\/(f*(f**(-12)\/f)\/f))\/f**(-1\/7))**(-5\/4) assuming f is positive.\nAnswer: f**(-5465\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 110, 135, 156, 173, 186?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 7*d - 3. Let o be a(-6). Suppose -67 = -4*x - 4*c + c, -2*x + 36 = 2*c. Suppose x = 2*f - f. Solve -o*b + f = 4*y, 10 + 2 = -3*y + 5*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 17}. Give prob of sequence dz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270 + 499. Suppose t = -4*s + n, t - 234 = -4*s - t. What is the highest common factor of 42 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -32) + (-7 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -44*v**3 - 2*v - 42*v**3 + 87*v**3 - 4*v**2 + 4 - 2. Suppose 3*s - 15 = -0. List the prime factors of w(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22344 and 545128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5597*t - 13. Is w(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/360 + 11*k**5\/120 + 5*k**4\/6 + 131*k**3\/6 - 6*k - 17. Let c(p) be the second derivative of o(p). Calculate c(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -55*c + 197*c**2 - 59*c + 117*c + 2. List the prime factors of w(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2111 + -2110.9996967. Round c to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 4.6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 + 6 - 7) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.389 + 6679.6643128\nAnswer: 6680.0533128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -9, -94\/7, -3\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**7\/1260 + o**6\/60 - 83*o**5\/360 - 143*o**4\/24 + 484*o**3\/9 + 3946*o**2. Factor c(a).\nAnswer: (a - 8)*(a - 2)*(a + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1650874 by -53254.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b03ce (base 16) in base 11?\nAnswer: 1655a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 20. Let p be k(-9). Suppose -p*i = -7*i + 20. Solve x - 9 = y, 0*y + 3*y - 1 = -i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12)\/(2 - -3 - 11).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*l**3 - 4155*l**2 + 13950*l + 440 = 0 for l.\nAnswer: -1\/32, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5 = -5*k, 4*k - 95 = 4*c - 131 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, f: 10}. What is prob of picking 2 f?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-165))\/((-74)\/1110)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51406, -102888, -154370, -205852?\nAnswer: -257334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 16, 0, 2\/3, -0.81 in increasing order.\nAnswer: -0.81, -1\/11, 0, 2\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 3*k**2 - 690*k - 2777. Give y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6 + 1)\/((-161)\/(30429\/546))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*n + 3. Let h be (1 - 2)*0\/(-2). Let q be 2\/1 + h + n. Solve q*o - 2*t = -9, -5*t = 2*o - 0*t - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Suppose 2*h = -4*y + 52, -p*y - 2 = 4. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 365 = -589. What is b rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 374255 divided by 37\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/11, 47, -1\/4, -34565?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 9*f**2 + 40*f - 178. Let r be h(7). Solve 14 = 3*o + r*m, -3*o + 10 = -0*o + 2*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 815*t + 817. What is the remainder when 251 is divided by z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3793636 divided by -1199\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/18*((-182)\/20 + (-25)\/(-6500)*26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 59*t**2 + 414*t - 176. Calculate the remainder when 909 is divided by x(51).\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 2. Let d(j) = 3*j + 116. Determine d(w) - 2*x(w).\nAnswer: -w + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16130.\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -0*z. Suppose 33 + 17 = 5*w - 3*b, -b - 5 = z. Suppose -w*s + s = -48. Solve -i = -4*v - 3*i + s, -5*v - 3*i + 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((747\/1245)\/(14\/(-15))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.5 - -5. Let n = f - 0.9. Let r be 0 + (-4)\/(4\/(-3)). Which is the closest to -1? (a) r (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -195, -311?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295 in 1, 4, 0.1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147489, 295556, 444205, 593436, 743249, 893644, 1044621?\n\"Answer: 291*l**2 + 147194*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 208 + 415?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2944\/10699 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 7102\/(-3538) - (-16 - -16). Let v = j - -92703\/97295. What is the common denominator of -29\/70 and v?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 331447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -76 + 0 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771*w - 2788*w + 1712*w.\nAnswer: 695*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4*sqrt(121))\/sqrt(11) - sqrt(1331)*-1)**2.\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjykkjjkjgkiiy. What is prob of sequence iykj?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603 = 6*r + 615 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 12 = 5*g. Let z(x) = 8*x**2 + 2*x - 2. What is the lowest common multiple of g and z(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-345) + (5169\/138)\/((-16)\/32).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 8)*(3*y + 3*y + 3*y).\nAnswer: 117*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:30 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262397.\nAnswer: 257, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let a(v) = -v**2 - 3*v + 1. Let f be a(-3). Let z(u) = -u**3. Let l(c) = 1. Determine f*z(i) + p*l(i).\nAnswer: -i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v + 1361*v**2 + 12*v + 3264*v**2. Let y(b) = -b**2 + 6*b - 4. Let m be y(4). Let h be q(m). Round h to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.129 + 51.171. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfku when four letters picked without replacement from {f: 1, w: 1, b: 1, m: 2, u: 2, k: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*w**2 + 104*w**3 - 2*w - 316*w**3 + 112*w**3 + 105*w**3 to the form j + c*w**2 + p*w**3 + u*w and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - 180?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -29. Let w(c) = c**3 + 5*c**2 - 8*c - 2. Let z be w(-6). Let j = g + z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/125 and -31\/1375.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*w**2 + 4*w - 53*w**2 - 4*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 11, 17, 23, 29?\n\"Answer: 6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100) + sqrt(1100) + 1) + -5 + (1*(sqrt(1100) + -1) - (5 + -1 + sqrt(1100))) + 1.\nAnswer: -5 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1418514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(432))\/(-4*sqrt(7)*-1 + sqrt(7)).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 110181 + 2*r - 110210 - r. What is w(21)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79493.15 centuries in months?\nAnswer: 95391780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -12 - (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 3*t + t - 2*t + 2 - 2 + (-3 + 4 + 0)*(4 - 4 + t) + 17*t - 26*t + 161*t + (t - 2 + 2)*(4 - 6 + 1).\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3903 - -3903. Which is bigger: -3\/2123 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(-1\/4)\/a*a)\/a))**(-39)*(a\/a**(-1\/4))**(-1\/17))**(-5\/2) assuming a is positive.\nAnswer: a**(7465\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((2*sqrt(304)*1 - sqrt(304)) + sqrt(304))**2 - (1 + sqrt(304))*-4*-6)*-3*1.\nAnswer: -3561 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51750911 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:45 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4667, -3, -5 in decreasing order.\nAnswer: -3, -5, -4667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9093.225 micrograms?\nAnswer: 9093225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/(3\/(-6)). Is v equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75576 divided by -24.\nAnswer: 3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -656+-865\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.943 - -40. Round y to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*f = 21, -15 = 3*n - 2*f - 3. Let w be n\/4*14\/(-3). Let s be 2\/w - (-4)\/(-7). Which is the third smallest value? (a) -1\/3 (b) s (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1, -46, 5, 3, -16 in decreasing order.\nAnswer: 5, 3, 1, -16, -29, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556871 - 14*p**2 + 556871 + 5*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 360*d - 4637. Determine b(-192).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/3*(-3)\/(-15). Let y be 20\/30*(h + 6). Let a(p) = p**3 - 5*p**2 - 7*p + 6. Let d be a(6). Solve y*w + 16 = -d*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491 times 1067\nAnswer: 523897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -2. Let v be m\/10 + 704\/(-55). Is v less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 12, 0*r + 2*y = -2*r - 4. Suppose 83 = 5*x - 2*c, r*x - 36 = c - 2. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*q + 160, 2*q = 2*l - l - 67. Let k be (-765)\/q - (-4)\/(-22). Calculate the highest common divisor of 161 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177975523 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4182 + 723*t - 4182 to the form d*t + x and give d.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**5 - 75*h**4 + 2274*h**3 - 17910*h**2 + 55377*h - 59535 = 0.\nAnswer: -45, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010010 (base 2) in base 15?\nAnswer: -2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445857 divided by -993?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:57 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3092*t**2 + 787*t**2 + 0 + 0.\nAnswer: -2305*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-28)\/(-44))*3\/(-6). Which is the nearest to -0.3? (a) -5 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 - 4*h - 3. Let w be o(0). Which is the fourth smallest value? (a) w (b) 2 (c) -0.12 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16592 greater than or equal to -16592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -59.5. Let s = 4816 + -4814. Sort -1\/9, 6, u, s in descending order.\nAnswer: 6, s, u, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518478661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -694 + -38.95842.\nAnswer: -732.95842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = v - 38, 0*v = 3*v + 6. Let d be (-5940)\/h + 4*-1. Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a\/a**4*a**28)**(-2\/163))**(3\/7) assuming a is positive.\nAnswer: a**(-156\/1141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/720 and 131\/1200.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 5*s - 5*s)*(0 + 2 + 0) + 2*s + 3*s - 3*s)*(8 - 8 + 35*s).\nAnswer: 210*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 11*c**2 - 26*c + 4. Calculate a(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/24 - g**3\/3 - 2. Let z(w) be the third derivative of q(w). Let l(t) = -t. What is z(l(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 13) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 5*r + 616, 2*r + 416 = 2*w. Suppose -4*c = 11 - w. Suppose -4*a + 211 = -c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzzq when four letters picked without replacement from {v: 2, z: 2, e: 4, q: 2, f: 2, n: 7}.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*z**2 - 710 + 4*z**3 + 368*z**2 + 710.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4 - 6*x + 4*x + 2*x**2 - 17*x - 8. Let t be b(11). Solve 5*m + 1 = 5*u + t, -6 = -2*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*p - i, 5*i + 38 = p + 2*i. Suppose -v = 7 - p. Suppose -4*n - 4*r - 40 = -9*n, v = 4*n - 4*r. Solve 2*u - n = -x, -3 = -2*u + x + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69059.2188 rounded to the nearest 100?\nAnswer: 69100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxaacaaaxaxxxccx. What is prob of sequence xax?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211037, -422072, -633093, -844094, -1055069?\n\"Answer: y**3 + y**2 - 211045*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 3 (c) 4 (d) -3 (e) -7.2657218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78186220597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6*420\/(-8). Suppose y = -4*s + 66. Which is bigger: s or -6\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-64))\/(-15*(-26)\/2340)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267 - 251. Solve 4*t + 2*d + 18 = 0, 5*t = 2*t - 4*d - v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 9*u - 12*u. Let h = u - 42. What is the units digit of 3\/h*(-408)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6609 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26654 + -17567. Is i a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -6?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/560 - o**6\/360 + o**5\/6 + 3*o**2. Let n(d) be the third derivative of t(d). What is the first derivative of n(p) wrt p?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843611187 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226952 is divided by 354?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52122, -104386, -156640, -208878, -261094, -313282?\nAnswer: -365436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23760 take away -5730871301?\nAnswer: 5730847541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - 1. Suppose 0 = 17*v - 26*v + 72. Let p(c) = 2*c + 12 + 12*c**3 - 43 + 11 - v*c**2 + 6 + 6. What is p(k) - 8*x(k)?\nAnswer: 4*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.21, 4, -0.3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, d: 3}. What is prob of picking 1 q and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 4. Let w(t) = -t**2 + 22*t - 10. Let f(q) = 4*v(q) - w(q). Calculate f(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:54 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6174 or -12349\/2?\nAnswer: -6174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 86*u**3 - 156*u**2 + 344*u + 656.\nAnswer: -2*(u - 2)*(u + 2)**2*(u + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 206*l**2 + 200*l + 404. Give x(102).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-171)\/(-72) + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000\/6 - (-30)\/(-45)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21024 divided by 4.\nAnswer: 5256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1335, -15, 3.\nAnswer: -1335, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20544869\/5153656 + -3\/139288. Are -3 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 7:06 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let r(u) = -u - 1796. Give b(r(v)).\nAnswer: v + 1796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32049 + 32048.94. What is the closest to 61 in v, -4\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-100 - (-17342)\/174).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 - -0.049. Let w = -1.639 + g. Which is bigger: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by 151783.\nAnswer: 246\/151783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**4 - 2*b**2 - 4*b**3 + 3*b**2 + 5*b**4 - 56*b + 45*b to the form v + l*b**2 + i*b**4 + y*b + x*b**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 178457 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*j**4 + 2313649*j**3 + j**2 + 448011879 wrt j.\nAnswer: -40*j**3 + 6940947*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2980200 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*((-39787)\/11 - -10).\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*c + 23, i - c + 0 = -5. Let z = -11 + 0. Let a = i - z. 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 thousands digit of 1091372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 5*f - 4*d, -d = 5*f - 0*d - 610. Let m be ((30\/(-4))\/5)\/(13\/(-286)). What is the highest common factor of m and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:57 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -1. Let k = 1.7117 + -1.8117. Which is the nearest to 0? (a) -2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose r*y - 5*y = 0. Suppose y*u - 3 = -u. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u**3 + 151539*u**2 - 151539*u**2.\nAnswer: 43*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 10*t + 19. Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*s - 4*q, -113*s - 3*q - 3 = -117*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -18*n**2 + 1 + n + 4 - 5. Let c = 1178 + -1179. What is i(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/19)*u*(u**1*u)\/u*(u*u\/u**(-2\/9))**40)\/((u**(1\/5))**(-5))**18 assuming u is positive.\nAnswer: u**(18773\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 536*i + 49285. Calculate w(-117).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)*q\/(q**30*q)*q*(q**(1\/5))**(-44\/7) assuming q is positive.\nAnswer: q**(-1864\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 1980?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/192 and -73\/3912.\nAnswer: 31296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/207)\/(20\/(-8)*(-3)\/5).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 36996302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.20886 micrometers to nanometers.\nAnswer: 44208.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - 7. Let d be 21\/2 - m\/(-24). Let q(o) = o + 7. Is q(d) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3940 + -3932. Solve 3*t + 2*o - i - 8 = 0, -4*t = 5*o - 33 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 1424*o**2 + 126736*o.\nAnswer: 4*o*(o + 178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/23358 and 133\/66?\nAnswer: 256938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 7*o - 5. Let q be b(4). Let r be 20*(-15)\/(-10)*q\/(-3). Let l be 2*(-2)\/(0 + (-4)\/r). Calculate the highest common divisor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 2.8. Let q = -53 - -268\/5. Suppose f + 2*f = -3. What is the nearest to j in q, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*h**2 - 384474 - h**2 + 384468.\nAnswer: 38*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 276, 498, 786, 1146, 1584?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-35)\/(-10) - (-565)\/10. Solve -t = 10*l - 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85763.26 to the nearest one hundred.\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*4)\/(sqrt(33)\/sqrt(3)*-5).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 3*v. Let q be w(-2). Suppose 2*a - 5*i = -17, -q*i + 0 + 6 = 0. Let h be 1 + -2 - 3\/(-9). Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 1 + 9*y**2 - 2*y - 10*y**2 as k*y**2 + j*y + h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from vvsqqvlv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 - -316. Suppose 15*m - 9*m - 18 = j. Let b(r) = r + 1. Let k be b(3). Solve 10 = -m*y + k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*5*4)**2*-4.\nAnswer: -1489600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1999111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-9) - (-16)\/12)\/(-3). Let y(q) be the third derivative of 0*q**3 - 9*q**2 + 1\/24*q**4 + 0*q - 19\/60*q**5 + 0. Give y(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -6985.3185.\nAnswer: 6993.3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15357 divided by -5119?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -23*u**3\/3 - u**2 + u. Let p(g) = -1667 + 3311 - 3*g - 1644. Determine p(h(v)).\nAnswer: 138*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 1658 = 834*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/3 + 11666*z\/3 + 34023889\/3 = 0.\nAnswer: -5833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 23 = 5*f, -4*z - 31 = 5*f. Let u = -23 - f. Let t be (14\/(-4))\/(341\/66 - 5). Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253.8 + -254. Let w = -0.65 - -0.75. Which is the closest to 1? (a) -0.08 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -51, -2 in increasing order.\nAnswer: -51, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/60 - r**5\/30 + r**4\/6 + 37*r**2. Suppose j(u) = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**2\/2 - 3*m - 1. Determine p(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + s + 0*s + (0 + 4 - 5)*(3 + 1 - 3)*(42*s + 4*s - 9*s).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vev when three letters picked without replacement from {e: 2, v: 16}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*b - 50, -3*v + 2*b - 5*b = 51. Let s be 3\/(-3*1\/22). Let m = s - v. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10058 - 10053. Solve 62*a + k = c + 59*a, -5*a = 2*c + 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26631 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*g + 14 = 0, -5*g + g = -5*f - 18. Let t = 1 - f. Let n be (0 - 1) + (-6 - -6) + 10. Calculate the highest common divisor of t and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14064*m**3 + 7*m**2 + 5*m + 4. Let g be p(-4). Round g to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0343999132 to 5 dps.\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**34*y**(6\/19) assuming y is positive.\nAnswer: y**(652\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8787415 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**4 + 543*p**3 + 11074*p**2 + 79732*p + 69192.\nAnswer: (p + 1)*(p + 18)*(3*p + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/5408 and -19\/24.\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-5) + (-2937)\/267\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123.4 - 120.4. Which is the closest to -6? (a) 2\/5 (b) z (c) -5\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-4))\/((-1)\/(-4)). Put a, 3, -3 in increasing order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, w: 4}. Give prob of picking 3 t and 1 w.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and 6.438.\nAnswer: 18.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let g be 6\/(-15)*-5*(-1)\/4. What is the third smallest value in 1\/3, g, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*b + 5771, 6*m - 4612 = -4*b + 8*m. What is the highest common factor of b and 945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - u)*(-10627 + 3271 - 6388)*(3 - 2*u**2 - 3).\nAnswer: 54976*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**2 - 64 + 54 - 4*l**3 + 26*l**2 as z*l**3 + m*l**2 + o + b*l and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 17 (c) -551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6796 divided by 3398.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 252.3. Which is the biggest value? (a) 0.37 (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllllllllxlll. Give prob of picking 3 l.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/(-1092) - (-5160)\/(-130).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5 + 6*w**4 + 60*w**3 - 186*w**2 + 183*w - 60 = 0. What is w?\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1263 - -5?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -68. Let i = -8 - 1. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -531*p + 546*p + 60 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b + 3. Let v(t) = 3*t**2 - 32*t. Determine v(l(o)).\nAnswer: 507*o**2 + 182*o - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3388*n + 23723. What is l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:59 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129788 is divided by 225956.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16735.\nAnswer: 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590 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: Let f(x) = x**2 + x. Let g be f(1). Let b(d) = -d**3 + 3*d**2 - 2*d + 2. Let w be b(g). Find the second derivative of 4*n**w - 5*n**2 + 5*n**2 - 5*n wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6)*-2*-9. Solve -o + 4*l + 18 = 0, -5*l - k + 0 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-2 - 0) - (-5 - 1) - (105 - 91)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, w: 5, b: 1, d: 2}. Give prob of sequence wkw.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (530\/50 - 11)*(-5 + 0). Sort -11, -19, -1, g in descending order.\nAnswer: g, -1, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 811*m**2 + 248*m**2 - 213*m**2 + 457*m**2 + 676*m**2.\nAnswer: 1979*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 660\/35 - 72\/84. What is the highest common factor of 198 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -941 and -0.024351 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2812, -2713, -2524, -2227, -1804, -1237, -508?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose 5*i - h = 7. Suppose 0 = o - i*q - 31, 28 = 3*o + 3*q - 83. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w + 41. Let b be x(10). Solve -2*o - b + 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412 - -2314?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39509?\nAnswer: 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 92?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 249491?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y + 76. Let b(h) = -h. Let q be b(0). Let g be o(q). Let d = g - 54. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*2\/((-4)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddyfdddyddymyddmm. What is prob of sequence emdy?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 7653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0632 (b) 2 (c) -0.5 (d) -1\/4 (e) -95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 72*o**3 + 1428*o**2 - 4624*o = 0 for o.\nAnswer: 0, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 81\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 39. Suppose -5*x - 2*j - 8 = 0, -4*j - 15 - 1 = x. Suppose -11*k + 4*k + 196 = x. What is the remainder when k is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 2. Let h be k(3). Suppose 1 = 3*f - h. Suppose 3*w - 8*w = -3*c + 25, 0 = w + 5. Solve c = f*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/1)\/((-6)\/4). Let g(y) = -y**2 - 9*y - 5. Let n be g(z). Suppose 3*a + s - 3 - 56 = 0, -3 = n*s. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f - 0. Let g be 2 + f + -111 + 1. Let z = g + 166. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 5*k = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, 4, 3, 31176?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 459*f + 930.\nAnswer: -3*(f - 2)*(f + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/28549 or 1?\nAnswer: -192\/28549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/21 + 2936\/7. Let t = -8797\/21 + n. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*w = -11 + 19, 20 = 5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-55)\/(-3) - (-18)\/(-9). Let o(g) be the first derivative of 14*g**2 + 4*g + i*g**3 + 1. Find p such that o(p) = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66)\/(-264))\/((-2)\/(-17212)) - 1\/(-2).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 27562486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*(x**(3\/4)\/x)\/x*x)\/x*x*x**(-2\/121)*x)**(1\/27) assuming x is positive.\nAnswer: x**(49\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102762 and 102454?\nAnswer: 478562634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -471. What is the highest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -18*p + 145 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39242 - 39222. Solve 4*m + 2*z = w, 0 = -3*m + 4*z + 805 - 790 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10553, 17097, 23645, 30197, 36753, 43313, 49877?\n\"Answer: 2*g**2 + 6538*g + 4013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 27. Let -11*n - 15*n**2 - 10*n**p + 7*n**3 + 27 + 2*n = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10000110101000?\nAnswer: 10000110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33998 + 89316 = 55*t - 3309*t for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - j = 16473, 5*z - 3*j - 82401 = -7*j. Let c = z + -65477. What is c rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*(s\/(s\/(s*s*s**(-1\/3)*s)))\/s*s)\/s*s**5)\/((s*s*s*s**(2\/3))\/s**1) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/1856*29*-16\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-3 + 31). Let u = 14 + v. Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 27*z**3 + 27*z**2 + 15*z. Let o(q) = -7*q**3 - 7*q**2 - 4*q. Suppose 3*w = -12*p + 8*p + 4, -2 = w + 3*p. Determine w*h(f) + 15*o(f).\nAnswer: 3*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104819000 rounded to the nearest 1000000?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 16*q - 2\/75*q**6 + 6\/5*q**2 - 2\/15*q**4 + 4\/25*q**5 - 8\/15*q**3 + 0. Let l(t) = 0. Calculate t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9335 - 0.0665. Let m = 2\/35 - 113\/140. Is x less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576 * -26674\nAnswer: -15364224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2272, -2340, -2420, -2518, -2640, -2792?\n\"Answer: -t**3 - 61*t - 2210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1*sqrt(190) + sqrt(190) + sqrt(190)))\/(sqrt(10) + sqrt(30)\/(sqrt(21)\/sqrt(7))))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x - 4. Let v(d) = -d - 1. Let i(l) = r(l) - 3*v(l). Let w(q) = 1. Let t(y) = -2*i(y) - 10*w(y). Is t(6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3406205, 3406204, 3406203, 3406202, 3406201?\n\"Answer: -w + 3406206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:58 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 + 234. Suppose 18*f + 11018 = c*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2897*l**2 + 2966*l**2 - 8473*l**2 + 2936*l**2.\nAnswer: 326*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976*u - 973*u - 6*u**3 - 57*u**3 + 1949*u.\nAnswer: -63*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55132?\nAnswer: 2, 7, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:09 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07296*-68\nAnswer: 4.96128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 8. Calculate w(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/1 + 11 - -2. What is the third derivative of -6*x**3 + 7*x**6 + 6*x**3 + q*x**2 + x**6 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47*-1.235\nAnswer: -0.58045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-9*(-21)\/(-9). Let o be -2 - 7\/(k\/8). Which is greater: 1\/9 or o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h**2 + 3873*h + 16 = 0 for h.\nAnswer: -16, -1\/242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17919 - 9653. Let q = -21585 + r. Let k = 19319 + q. What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 42. Let v = -13060\/9 - -1457. What is the common denominator of q and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 7}. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (65 - 65)\/(4\/(-2) + 7). Solve l = -6*z + 22 + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 1, f: 1, q: 2, c: 2}. What is prob of sequence ccgq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 3. Let p(f) = f + 1. Give -i(d) + 4*p(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11306*w + 5250*w + 9681*w - 2648*w in the form j + z*w and give z.\nAnswer: 23589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 5101.\nAnswer: 45909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k. Let b(n) = -325 - 348 + 57*n**2 + 673 + 72*n**2. What is b(v(y))?\nAnswer: 4644*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) + -4*sqrt(6)*4).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 9*z + 9*z)*(-2*z - z - 3*z) + (0*z + 2*z - z)*(-2*z**2 - z**2 + 2*z**2) + (-1 + 0 - 1)*(0*z + 0*z + 2*z**3).\nAnswer: -35*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1347, -3, -2, -20, -7.\nAnswer: -1347, -20, -7, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhikhihiiiciihciiii. Give prob of sequence ih.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 73\/5 (b) 9\/13 (c) -2\/9 (d) 6 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1166 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 4*k + 6. Calculate the remainder when 101 is divided by j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.877 + -0.123. Let x = 462.15 + -427. Let h = y + x. What is h rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -995125 divided by 19.\nAnswer: -52375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56198?\nAnswer: 2, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 28. Let j(q) = 5*q + 9*q**3 - 2*q**2 - 10*q**u - 3*q. Calculate j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 885*j + 9850. Determine z(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -355 and -3.141.\nAnswer: 1115.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 7*k**5\/60 + k**4\/8 - k**3\/2 + 5*k**2 - 3*k. Let f(v) = -6*v**2 - 2*v + 2. Calculate -4*a(t) - 5*f(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3366 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 127*a - 1092. Give n(14).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(209)\/(sqrt(11) + sqrt(275)) + ((sqrt(2736) + -1)**2 - sqrt(19))).\nAnswer: -16422 + 149*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 13) to base 8\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1278 - 125*o**3 + 1281 + 84*o**3 - 2*o**2 - 130*o**3 - 52*o**3 to the form j*o**2 + i + y*o**3 + z*o and give y.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -644, -1421, -2436, -3785, -5564, -7869?\n\"Answer: -16*m**3 - 23*m**2 - 596*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let t be (-1)\/3 - 8\/(-6). Let g be (0\/1)\/t + -3. Let x(q) = -9*q. Let i(s) = 47*s + 1. Let u(f) = 2*i(f) + 11*x(f). Give g*d(w) - u(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 2*m - 3. Let f = -7 + 5. Let v be a(f). Let i be 2\/v - (-3)\/(-9). Sort 3, -3, i.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 3*q**3 - 4 - 2*q**3 - 3*q - 7*q**2. What are the prime factors of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 9*p - 13. Let h be d(-6). Let m = 59\/12 - h. Let b(z) = -z + 6. Let j be b(5). Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*t**3 + 111*t**3 + 108*t**3 - 338*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5416 divide 300160136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(228)\/(1*sqrt(12)*-4).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 636688*a**3 + 91672*a**2 + a + 2 wrt a.\nAnswer: 3820128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4 = -3*l - 1, 4*l - 3*s = 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a + 12 - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*3)\/sqrt(3) - ((-3*sqrt(2057))**2 - sqrt(17)).\nAnswer: -18513 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-3)*6\/(-21).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 32. Let v = 0.09 - -3.91. Let k = v + -3. Put u, -1\/2, k in descending order.\nAnswer: u, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j + 1. Let r be f(3). Find the first derivative of 0*l + 2*l**4 + l - l - r wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/30 + 0)*(15 + 94\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.032, 143, 1?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 3*f)*(6 - 8 + 6) - 1 + 2*f + 1 - 2.\nAnswer: 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 14*q**2 + 2*q - 18. Let s be t(14). Find the third derivative of -s*x**2 + 3*x**5 + 21*x**2 + 5*x**5 wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**2 + 5*k + 2. Suppose -3*h + 30 = -0*h. Let n be h*(0 + 4\/10). Calculate c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172908 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 40. Suppose -3 - h = -t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 31*y = -80. What is the smallest common multiple of 166 and y?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 0.9. Suppose 0 = -4*m - 5 + 25. Suppose 4 = -j, m*j = 2*g - g - 20. What is the nearest to -1 in y, 4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 v when four letters picked without replacement from vmmmmmvmvvmmvmmmmm.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - 152?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 40 = -4*f + x, -2*x = -2*f + 22. Let y = -10569 - -10578. What is the smallest common multiple of y and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5748396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 996\/18 + 1*(-2)\/6. What is the derivative of 72 + 135 + 218*a - 20*a + n*a - 19*a wrt a?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 4, -10, 5 in descending order.\nAnswer: 5, 4, -5, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293572878*a*c*u**2 + 5*a*c*u - 5*c*u + 167101*c - 4*u wrt u.\nAnswer: -587145756*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 31*t - 270. Let s be v(14). Is s greater than 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -53. Let c = w - -65. Suppose 0 + 2\/3*j**4 - 2\/3*j**3 + 2\/3*j**5 + c*j - 2\/3*j**2 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10935, -4 in decreasing order.\nAnswer: 3, -4, -10935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**6\/3 + 8*m**5\/5 + 56. Determine r so that n(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.08, -5\/4, 6, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3156925?\nAnswer: 5, 197, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 3458 and 10378\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3088053 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 0 + m + m + 2*m + 2*m + 4*m - 4*m - 4*m + (2*m + 0*m - m)*(2 + 3 - 3) as k*m + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 181. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.2. Let g = 6 - 8. What is the nearest to 1 in 0, a, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 130 = -341 - 1119 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -410.62274 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278286694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndddddddndnddd. Give prob of picking 1 d and 2 n.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) + sqrt(64) + -2*sqrt(64))*6)\/(-1*sqrt(100)))\/(sqrt(512)*2 - (sqrt(16)\/sqrt(2) + sqrt(8))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, -0.4, 154, 53, 37?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.044 + 7.344. Let l = 7.7 - v. What is the third biggest value in -24, 3, l?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/12 + 1\/4. Suppose -5*o + 2*f + 64 = 0, -3*o - 7*f = -a*f - 54. Let c = o - 10. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)\/(-1*sqrt(10)) - (sqrt(55)\/sqrt(5) + 5)) + sqrt(77)\/(1*sqrt(567) + sqrt(7) - sqrt(7)))*6)**2.\nAnswer: 680*sqrt(11) + 20816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(((-2)\/5)\/((-48)\/120))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emkeeexekmkeve. What is prob of picking 2 e?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 296.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 20 - 8 = 0. Let u = 5 - o. Let x(z) = -3*z - 3*z + z**u + 3*z + 1 - z. What is x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2450) + 1 + sqrt(2450) - sqrt(2450)) + sqrt(2450))**2*1 - (sqrt(2450) - (1*sqrt(2450) + -2) - sqrt(2450))*1.\nAnswer: 735*sqrt(2) + 9823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5826 and 23826398.\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8716 or -1461?\nAnswer: 8716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(-4)*i)))**8)**(28\/5))**(20\/9) assuming i is positive.\nAnswer: i**(-896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkdd. What is prob of picking 2 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 60 = 3*h. Is -20 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10768*c**3 + 10196*c**3 - 20966*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 54*q + 887 + 147. Let h be (-16)\/(-10)*(-10)\/(-4). Is q equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16457065 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1697\/7 + -242. Which is the second smallest value? (a) -3 (b) 15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*f**5 + 15 + 3*f**5 - f + 8*f**5 - 19 wrt f.\nAnswer: 560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)*(-3)\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*c**4 + 76*c**2 + 1.\nAnswer: -13992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 + 3*a - 3. What is y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954026063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 10, -u + 4 = -5*o + 12 - 12 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 486797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 4 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2737*s - 2696*s + 32 + 8150*s - 2728*s.\nAnswer: -11*s + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7840355\/681 + 11513. Is 0 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(68) + -3*(sqrt(68) - (sqrt(68)*-1 - sqrt(68) - sqrt(68)))))\/(6*((sqrt(144) - -5*sqrt(144)*1) + sqrt(144)))*-3.\nAnswer: 22*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1757 + 3512 - 1244*j**5 - 1755 + (4*j**3 - 1 + 1)*(3*j**2 + 0*j**2 - j**2).\nAnswer: -1236*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:02 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387.00001319 + 387. What is a rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 8)*4\/(-10). Suppose v*g - 12 = g. Suppose g*p = 25 + 15. What is the least common multiple of p and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 31.9. Let o = -6 - d. Which is the nearest to o? (a) 0.5 (b) 5\/3 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/10 - (-3)\/(-6). Let x = -2.47 + -0.53. What is the nearest to g in x, -3\/5, 8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18144564 and 1362.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 8. What is u(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -150, 0.1, 4\/5 in descending order.\nAnswer: 4\/5, 0.1, 0, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.11, 2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + (-60)\/(-14). Suppose 0 = 10*g - 5*g - 60. Suppose 0 = -4*d + g. Put m, -3, d in descending order.\nAnswer: m, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/11 + 4552*r\/11 + 2590088\/11 = 0?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 * 5\nAnswer: 4.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3664158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvymobymmryy. What is prob of sequence obv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 17 = -3*g, -5*w = -6*g + 2*g - 11. What is the tens digit of w\/(-3) + (-308)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(-3) - 1) + -4. Find the second derivative of -w - 13*x - 7*x**3 + 10 - 8*x**3 wrt x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -136 from 9904085170.\nAnswer: 9904085306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -37*w**2 + w - 2. Let k(y) = 81*y**2 - 3*y + 113. What is k(z) + 2*s(z)?\nAnswer: 7*z**2 - z + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130034156 to the power of 1\/2, to the nearest integer?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2666923*s. Let w(x) = -4*x**2. Calculate w(z(a)).\nAnswer: -28449913151716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98847 and 16737?\nAnswer: 78781059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/33 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -222?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:44 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 10.315, 5\/31, 0.3 in increasing order.\nAnswer: -0.1, 5\/31, 0.3, 10.315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -701 + 705. Suppose -y*z - 5*f = -208 + 80, 0 = z - f - 23. Suppose -5*x + d + 28 = 0, d = -3 + 5. What is the lowest common multiple of z and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57491 (base 10) to base 15.\nAnswer: 1207b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(3*g + 19 - 19) - 3*g + 8*g + 2 - 9*g to t*g + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -14. What is the units digit of w - (1 - (-2)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96643\/1064 + 727\/8. Find the common denominator of l and -4\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 127 = -17*j + 3. Which is the third smallest value? (a) -97 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 25. What is o in -7*o**4 + 1 - 4*o**n + 4*o**3 + 1 - 4*o + 9*o**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105987 is divided by 3629?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2200*a - 2. Let l(h) = 419*h. What is j(l(p))?\nAnswer: -921800*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 4. Let i(j) = -8. Let o(t) = -3. Let a = -5 - -1. Let w(b) = a*i(b) + 11*o(b). Determine 3*n(g) - 12*w(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248394103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k + 38. Let y be c(-13). Let d = -96 - y. What is the remainder when 22 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -20, 1 in increasing order.\nAnswer: -20, -1, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 49 = -26*b. Let o(p) = 8*p**3 + 4*p**2 - 3. Let m(y) = -23*y**3 - 11*y**2 + 9. Calculate b*m(g) + 17*o(g).\nAnswer: -2*g**3 + 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261 - 258. Let p be 2405\/15 + 2\/j. What is the greatest common factor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 6450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let r be h(0). Suppose 11*o + 8 = 15*o. Suppose 0 = 4*p - 6*p + 4*t + 104, o*t - 2 = r. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/10 - 62*f**5\/15 + 13*f**4\/2 + 40*f**3\/3 + 146*f**2. Factor s(z).\nAnswer: 4*(z - 20)*(z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67227934.\nAnswer: 2, 67, 501701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1871880*q**2*s - 140586473*q**2 + 2*q*s**2 + s**2 wrt s?\nAnswer: -1871880*q**2 + 4*q*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - b = -19, -3*b - 73 = -4*r + 2*b. Suppose -84 = 5*c - 3*k, c + 2*k = -10 - r. Let y = 18 + c. Solve y = 5*u - 11 + 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16113066*p**4*u + 2*u - 2024843 wrt p.\nAnswer: -64452264*p**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - 1 - 24\/(-12 + (-8 - -18)). Let d(q) = q**3 - 8*q**2 - 2*q - 9. Let p be d(8). Let g = p + 39. What is the greatest common divisor of k and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y**2 + 2*y - 5. Let n(t) = 31*t**2 - 4*t + 9. What is 3*n(h) + 5*r(h)?\nAnswer: 13*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 76 + 2*f - 44 + 267)*(-2 + 2 - f).\nAnswer: -2*f**2 - 207*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26) + 3\/(-39)*-128. What is the tens digit of 208\/r + 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 - 10*r + 3. Suppose -18*v = -13*v - 50. Let y be i(v). Solve -1 + 13 = y*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 492\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -2*z**3\/3 - 5*z. Let v(n) = 5*n. Determine v(c(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {h: 1, b: 2, j: 2, a: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/2*f**3 + 0*f**2 - 15*f + 0*f**5 - 1\/20*f**6 + 5 + 3\/8*f**4. Let c(a) be the first derivative of q(a). Factor c(p).\nAnswer: -3*p*(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37821408 - -4?\nAnswer: -37821404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -51de5?\nAnswer: -51de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751341.6 centuries to years.\nAnswer: 75134160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 2816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -2732, -9412, -22430, -43898?\nAnswer: -75928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1239191196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133247206 take away -0.3?\nAnswer: 133247206.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1557 = 11*o + 4615. Let q = -275 - o. Solve -2*h + 5*y + q = 0, -5*y - 4 = 2*h - 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + 421331?\nAnswer: 422031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066635.\nAnswer: 3, 5, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let x = -282 - -286. Suppose x*i = -4*j + 33 + 91, 0 = s*i - 3. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 198396 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k. Let b be g(-6). Suppose 5*c - 2*c = b. Suppose c*v - 4*v = -40. Calculate the smallest common multiple of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 55, 124, 221, 346?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42, 37, 32, 27, 22?\n\"Answer: -5*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 - 3*m - 4. Let d be z(-4). Let o(a) = a - 10. Let u be o(d). Let k(l) = -11*l - 2. Let w be k(u). Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*d - 3*d + 31233 = 0, -5*g = -2*d - 52044. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003385490722 rounded to 7 decimal places?\nAnswer: -0.0033855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + i + 4*i)*(-3 - 1 + 2)*(4 + 0 + 2) + i + 0*i - 6*i - 3*i + 5*i - 3*i + (0*i + 2*i - i)*(-2 - 3 + 3) in the form s + n*i and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2600, -5277, -7954, -10631, -13308?\n\"Answer: -2677*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*l*y**3 - 19546*l*y + 244*l - 354871*y**3 + 3 wrt y.\nAnswer: -96*l*y - 2129226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/5)\/((-1)\/(-15)*6). What is the common denominator of 121\/182 and 3\/c + (-350)\/24?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 31 = 9. Calculate the greatest common divisor of v and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12*b - 9)*(-1 + 1 - 3*b)*(-4381 - 22*b + 4381) to r*b**2 + v*b**3 + n + x*b and give v.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - z**2. Let l(j) = -j**3 - j**2 + 1. What is c(b) + l(b)?\nAnswer: -6*b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.73 * -0.03.\nAnswer: 0.0519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 16, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 194*y + 22. Let f be 11 - ((0 - 2) + 4 + 1). Is u(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*l - 11 = -2, 2*w = l + 63. Suppose 3*d + w = -4. Let o = 26 + d. Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let r(i) = i**2 - 9*i + 3. Let t(j) = -4*j. Determine t(r(x)).\nAnswer: -4*x**2 + 36*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 410 in -2\/9, 2\/17, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 692 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 7*z - 6. What is m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -36. Calculate the least common multiple of -48 + 46 - (-1)\/(2\/12) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**5 - 6*y**5 - 61*y**3 + 63*y**3 + (y**3 - 2*y**3 + 0*y**3)*(3*y**2 - 2*y**2 - 3*y**2).\nAnswer: -14*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -172*n + 8. Let z be x(-6). Suppose -3*i - 3200 = -0*i + 4*u, 0 = -i + 4*u - z. Round i to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 124*j**2 - 10*j + 121*j**2 - 387*j**2 - 2 + 143*j**2. Calculate y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.233045 from -0.9.\nAnswer: -0.666955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101.3 - -95. Let q = 5 + t. Let i = 0.4 - q. What is i rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y**2 + 2)*(-3*y**2 + 8*y**2 + 20*y**2) + (-2*y + 1 - 1)*(y**3 - 3*y**3 + 0*y**3) - 2*y**4 + 4*y**4 + y**4.\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-1 + sqrt(1008))**2 + 0)*-2 + (-1 + -2 + 2*-2*sqrt(1008))**2)*-6.\nAnswer: -84702 - 2016*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125365019 - 125365232.000194. Let j = 213 + t. Round j to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 44175268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9167\/4 + -10 - (-3)\/12. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 27. Let m be h(18). Suppose m*i + 253 = 10*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l + 3*l)*((-3 + 5 + 0)*(2 - 1 + 2)*(-66*l + 172*l + 49*l) + 1 + 2*l - 1).\nAnswer: 932*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrryrryyyyyyry. Give prob of picking 1 y and 2 r.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 199073 times 1.163\nAnswer: 231521.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.2 - -54. Let a = -2178 - -6719\/3. Let r = 61 - a. What is the nearest to 0 in -5, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 365*w**6\/6 + w**5\/5 - w**4\/2 + w**3\/3 + 4314*w + 10807. Find the third derivative of m(h) wrt h.\nAnswer: 21900*h**2 + 24*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 + 12*g - 31. What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(((-299)\/(-2093))\/(18\/7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2856344 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40875.4ug?\nAnswer: 0.0000408754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**2. Let x(s) = 230*s. Determine a(x(y)).\nAnswer: 1163800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f**3*h**2 - 29*f**3*x**2 + 28*f**3*x + 2*f**3 - 506342*f**2*h*x**2 - 3*f**2 + 6*f*x**2 wrt h.\nAnswer: -6*f**3*h - 506342*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8 + 3.7776146.\nAnswer: 6.5776146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -16. Let n = -8 + c. Solve -9 = 4*s + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1683 - 3336 + 1670 - 33*x)*(-3 + 2*x**2 - 1 + 6).\nAnswer: -66*x**3 + 34*x**2 - 66*x + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**3 + i**2 - 4*i - 10. Let u be c(-3). Let v = u - 252. Solve -3 = v*o - 5*t + 13, 10 = o + 2*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*r**3 - 3*r - 22 + 4*r**2 - 19512*r**4 + 19515*r**4 - 49*r wrt r.\nAnswer: 36*r**2 + 318*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*p + p**3 - 25*p + (3*p**2 - 3*p**2 + 2*p**2)*(3*p - 4*p + 2*p) + 0*p**3 + 2*p**3 + 0*p**3 in the form x + y*p**3 + r*p**2 + n*p and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121550 - 4413?\nAnswer: -130403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72484 by -4.\nAnswer: 18121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from gngnbngggng.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from gyggykkkxkkkkggkkg.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 - 4*a + 7. Let z be q(2). Let v = 39 + z. Solve 3*b + 4*h - 7 = 0, v*b + 1 = -2*b + 5*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -123. Let y(h) = -2*h**3 - 2*h**2 - 2*h + 4. Let i(c) = c**3 + 2*c**2 + 2*c - 3. What is u*y(r) + 4*i(r)?\nAnswer: -2*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 8*t**3\/3 + t**2\/2 - 6. What is the units digit of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 3*r + 0*r - 15. Let b be q(10). Suppose 0*z - b*z = -30. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1085, 0, -1150 in increasing order.\nAnswer: -1150, -1085, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k - 596*k - 335 + 169*k + 169*k.\nAnswer: -4*k - 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 112787034\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 8*k**2 + 14*k + 20. Determine x(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 5. Let r be a(3). Solve -3*k - r = 4*c, -4*k - c - 9 = -0*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51623 by 33.\nAnswer: 4693\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9770229 to the nearest integer?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*h = -17, -4*j + 0*j - 4 = -4*h. Suppose 2*k - 4*z - 34 = 0, -3*k - k + 76 = -4*z. Calculate the highest common factor of k and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 15. Suppose t - 2*w + 7*w = 97, -457 = -4*t + 3*w. Let m be t\/18 + (-2)\/9. Solve -g - 4*f - 9 = 0, m*g + 8 = 5*g - a*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab5 (base 16) to base 14\nAnswer: ddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*z + 8624 = -1080*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(64) + sqrt(133)\/(sqrt(7) + sqrt(7)*-2) + (-6*sqrt(38)\/sqrt(2))**2)*-4.\nAnswer: -2736 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -515 + 514. What is the closest to y in 0.08, -2, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 4. Let t(j) = -j - 39. Let u be t(-16). Let g = u + 20. Calculate i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49702520.\nAnswer: 2, 5, 7, 29, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4*l + 4, -4*n - 5*l - 3 = 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -32, -4, 28, 64, 104, 148?\n\"Answer: 2*r**2 + 18*r - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from gygyygy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25175?\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-6)\/((-660)\/5))\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:08 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 10*n**7\/21 - 8*n**6\/5 - 241*n**5\/5 - 164*n**4 - 248*n**3\/3 + 288*n**2 - 4011*n. Suppose d(x) = 0. Calculate x.\nAnswer: -4, -2, -1, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let f be u(1). Let b = 106 - 104. Suppose f + 12 = b*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -21*x - 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1012555l?\nAnswer: 101.2555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6199*k - 6096*k - 53080123 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (6 - 13)) + -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 - 83*y**2 - 1580*y.\nAnswer: 24*y**2 - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123124?\nAnswer: 2, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - l**4 - 2*l + 319 + 282 - 2*l**3 - 640 - l**4 to the form w + j*l + x*l**3 + c*l**4 + t*l**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -22. Let r(i) = i**2 + 2 + 2*i + c*i - 4*i**2 - 1. Let h(z) = z - 11. Let x be h(7). Let u(b) = 8*b**2 - 11*b - 3. Determine x*u(s) - 11*r(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 482 - 332. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58a846 (base 12) to base 10.\nAnswer: 1428534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20477316 is divided by 6825697.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186047 + 17?\nAnswer: 186065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006053163 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:38 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1053\/1687?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*h - 2*x + x, 0 = h - x - 17. Let u(b) = b**3 - 14*b**2 + 2*b + 4. What is the remainder when u(h) is divided by -11*(0 - (-2 - -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkyyxyykyyyxxxkxxx. What is prob of sequence kyxx?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2448) + -1 - 3*(sqrt(2448)*-1)**2 - (0 + ((sqrt(2057) - (sqrt(2057) + -1))*4 + sqrt(2057))**2).\nAnswer: -9417 - 76*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1879 - 50095*y**3 + y + 536 + 50093*y**3)*(5 - 3 + 0) to q*y + u*y**2 + w*y**3 + p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -70 (b) 17 (c) 0.14 (d) -0.5 (e) -17 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2273)\/(-10)*19 - -2 - 1968\/(-6560). Calculate the highest common factor of 447 and c.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 9. Let q be s(12). Suppose q*y = 52*y + 495. What is the greatest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 74a9?\nAnswer: -74ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*sqrt(45)*-3)**2.\nAnswer: -108*sqrt(5) + 14581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368958 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 3*x - 12, 4*x = 3*a + 17. What is the remainder when (0 + -19)*(2 + a) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*2*sqrt(143) + 5*(sqrt(143) - (sqrt(143)*-1 + sqrt(143))))\/(sqrt(825)\/sqrt(3)*-3).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {t: 7, b: 9}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -994904 divided by -248726?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j + 74. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1, -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523 (base 9) in base 7?\nAnswer: -10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 125917525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19550431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 720\/12 + ((-65)\/(-5) - 2). Suppose -24 = -4*y + 4*a, 0*y - y + 3*a = -6. Find x such that b - y*x - 71 + 5*x**2 - 2*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4 + 11, -4*w = -4*p + 488. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37366 and 21038?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7703992 is divided by 180.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 7964125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121.0037 - 0.0037. Do z and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 15*s - 6. Give k(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.03649?\nAnswer: -0.03649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4041, 12573, 26787, 46683?\n\"Answer: 2841*p**2 + 9*p + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 - (3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 139 + 299 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 4, m: 9, v: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-256)*8)\/((-37)\/(-4))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17412, 3, -11, 235 in descending order.\nAnswer: 235, 3, -11, -17412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 19, -55, -159?\n\"Answer: -15*x**2 + x + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 48\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 125 and -126 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1675 and 4690.\nAnswer: 23450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22530 + 22526. What is the nearest to 2\/3 in -106, 3, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70888 and -6832.\nAnswer: 64056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = -d, -2*x - 56 = 2*d - 68 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -6. Let n be g\/6 - (-15)\/9. Suppose -3*k - n*k = -35. Calculate the highest common factor of k and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.19 + 2.19. Sort -0.4, -0.01, d, -0.1 in decreasing order.\nAnswer: -0.01, -0.1, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 233112320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4083 minus -0.7?\nAnswer: -4082.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -2. Suppose -q + 2*k = 0, -2*k = -2*q - 4*k + 12. Let t be (-1)\/q - (-405)\/36. What is the highest common factor of t and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 11*f - 10*f. Suppose -5*l - f*j - 453 + 124 = 0, -3*l + j = 189. Let b = l + 79. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 23*u + 1. Calculate g(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 8. Let j be x(10). Let y = j - 165. What is the tens digit of 6\/(-4)*(-72)\/(-27) - y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 1\/4*c**4 + 0 - 7*c + 0*c**2 + 0*c**3. Let x(k) = -4*k**2 + 2*k - 2*k. What is x(u(p))?\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -96. Which is the nearest to 1\/7? (a) -2 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9915, -9916, -9917?\nAnswer: -9918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 103732*d - 3008225. Calculate l(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/(-50)*10\/4. Let d be 2746\/12 - ((-12)\/y)\/24. Let q = 436 - d. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -88*b - 179. Let a be h(-7). Calculate the highest common factor of 69 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13417, 13966, 14509, 15040, 15553?\n\"Answer: -y**3 + 3*y**2 + 547*y + 12868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -37*n**2 + 586*n + 99. Let t be w(16). Factor -54\/5 - 38\/15*s**2 - 66\/5*s - 2\/15*s**t.\nAnswer: -2*(s + 1)*(s + 9)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/9 - 388292*s**2\/9 + 776608*s\/9 + 345152 = 0.\nAnswer: -194148, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 36 = 0. Let l = -8 - -14. Let u = v + l. Put u, 0, 4\/3 in increasing order.\nAnswer: u, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 57711?\nAnswer: 288555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 6*h + 8. Let n be z(-6). Suppose 3*b + 9 = -135. Let m = n - b. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)\/s*s**(-1\/9)\/s)\/(s**(2\/5)\/(s\/s**(2\/3))))\/(((s\/s**(-1))\/s*s*s**(3\/5))\/((s*((s*s**(2\/21))\/s*s*s)\/s*s)\/(s**6*s*s*s))) assuming s is positive.\nAnswer: s**(-631\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 + 156*l - 100. Let j(y) = 12*y - 165. What is the remainder when b(51) is divided by j(16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564)*-1*6*-6)\/(sqrt(100)*-2 + sqrt(4) + (sqrt(484)*3 - sqrt(484))).\nAnswer: 324*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 take away -67?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 985977?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 38, -5, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 2*v + v)*(10 - 19 - 20) to t*v + f and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.004. Let x = -0.104 + h. What is the biggest value in 6, x, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521253 is divided by 816.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000731447 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*k - 16 = 0, 0 = -3*g - k - 11 - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose 2*o + 4*d - 78 = v, d - 51 = -o - 15. Suppose 7*q - o = 72. Which is smaller: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111540 and 50700?\nAnswer: 557700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 25*r + 262. Determine q(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(426*k + 203*k**4 - 70*k**4 - 426*k).\nAnswer: -133*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243364 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:36 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -3130, -6984, -12380, -19318, -27798?\nAnswer: -37820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 481, -1\/12, -916, 5, -0.1 in descending order.\nAnswer: 481, 5, -1\/12, -0.1, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 8 (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56017 is divided by 432.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108904.\nAnswer: 2, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1280759 - 1280759 - 489*a)*(1 + 0 + 0) + 2*a + 0 + 0 + (2*a + a - 4*a)*(0 + 4 - 2) + 5*a + 0*a - 4*a in the form s*a + q and give s.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 + 47 = 3*a, 3*a = -4*h + 57. Suppose 5*u - p = -1 - 22, 5*u = 3*p - a. Let b = 42 - u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002824966274 rounded to 6 dps?\nAnswer: -0.002825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3530*b = -3545*b - 105 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(6\/(-2524)*-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.01 (c) -228\/11 (d) -1.3 (e) -7 (f) -5 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188.88329 hours in weeks?\nAnswer: 7.07668625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 - 12*o**3 + 32*o**2 + 48*o - 144 = 0?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9327000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = 3*g, -3*x = -634*g + 631*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138901 is divided by 4091?\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 13879.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75065160 and 37532580.\nAnswer: 75065160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2594682 and 1551?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-13))\/r**(5\/2)*r**0\/((r*r**6*r)\/r) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303933, 1\/3, -129 in ascending order.\nAnswer: -303933, -129, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*r - 6*r. Let v = -151 - -155. What is the remainder when r is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j**2 - 455 - 465 + 920.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/7)\/c*c\/(c\/(c*c\/((((c*c\/(c\/c**(-3)*c*c))\/c)\/c*c*c*c)\/c)))*((c\/((c**(-1\/15)*c)\/c))\/c*c)**(-8) assuming c is positive.\nAnswer: c**(-221\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 + 21701 = 31*p. List the prime factors of p.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.10529, 3, 0, 5, -1.2?\nAnswer: -0.10529","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-23)*1)\/((1980\/(-8))\/99)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2. Let j(d) = 7*d**2. Give j(g(o)).\nAnswer: 567*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2381, 3 in decreasing order.\nAnswer: 2381, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -660, -1441, -2524, -3903, -5572?\nAnswer: -7525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3775?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.29 - -2024.29. Is -0.1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 27*d**2 - 23*d - 155. Calculate o(28).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10639 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zurp when four letters picked without replacement from uwwzuuwruwuprrwwup.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/14073914 and 63\/16?\nAnswer: 112591312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3 - 17. Suppose 14368 - 5063 = l*g. Round g to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*u + 10 = 2*u, -2*g - u + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 18 = 270 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 19.9. Which is the second biggest value? (a) 2 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 116. Let p = j - -82. Let s(b) = -5*b**3 - 6*b**2 - b - 5. Let r(i) = -4*i**3 - 5*i**2 - i - 4. Let z(x) = 6*r(x) - 5*s(x). What is z(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - 4*i)*(-209 + 591 - 315).\nAnswer: -67*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) 0.1 (c) 0.3 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*r = 222*r - 132. What is the least common multiple of 20 and r?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60577*j - 60861*j - j**2 + 121438*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 2, y: 5, s: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73546635 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -91 + 23. Let o = p - 5. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 167*u - 102 = 0. Calculate u.\nAnswer: -34, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 72*g - 12. Let n(x) be the third derivative of x**5\/30 - 2401*x**2. Give n(f(m)).\nAnswer: 10368*m**2 - 3456*m + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*d = 6, 29*f - 14 = 33*f - 5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27455 and 105355.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, 1, 57, 115?\n\"Answer: o**2 + 51*o - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 3 + 4*k**3 - 20*k**3 + 273275*k - 273271*k. Let m(n) = n**3 + n**2 - n - 1. What is 2*m(j) + o(j)?\nAnswer: -14*j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534.1 - -118779283936.\nAnswer: 118779284470.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 35*t**4 + 117*t**3 - 137*t**2 + 24*t + 28 = 0. What is t?\nAnswer: -1\/3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 - d. Let s be v(1). Suppose s*o - 20 = 4. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3) - 6\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + (-328)\/28. Let n be (4\/d)\/((-3)\/45). Suppose -480 = -5*t - n*r - 0*r, -2*t + 162 = -4*r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z. Let l(j) = 6*j - 6*j - 286 + 2*j**2 + 202. What is c(l(g))?\nAnswer: -30*g**2 + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508924.\nAnswer: 2, 13, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3838+7\nAnswer: -3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t + 240 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 0*b**2 + 4*b + 2 - 7*b + b**2. Suppose 5*k + 3*h = 7, -4*k + h + 7 = -k. Let q be 70\/28*((-2)\/(-5) - k). Give p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(1\/66)\/(c**7*c*(c*(c*(c*c**(1\/4))\/c)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-1225\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/5 + -71\/15. What is the closest to -1 in t, 4, 1, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(2611*d + 6309*d + 1227*d).\nAnswer: 20294*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362835 + -4.\nAnswer: -1362839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - 24. Let c be (-8)\/26*(2013 + -2026). Sort u, -3, c in descending order.\nAnswer: c, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4 - 20*v**3 + 2*v**2 + 20*v = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -30. Which is the biggest value? (a) 0 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 3*q - 4. Let r(c) = 4*c**3 - 7*c - 8. Let h be (-18)\/10 - 6358\/(-935). What is h*a(p) - 2*r(p)?\nAnswer: 2*p**3 - p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 92641.99 micrometers?\nAnswer: 92641990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 2, c: 2}. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202167664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -346152346228?\nAnswer: 346152346227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 11. Let d = -3 - q. Suppose 4*f + d = 19. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83785 + 83788. Let -3*w**2 + 6\/5 + 3\/5*w - 3\/5*w**c + 9\/5*w**4 = 0. What is w?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/705 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/8)\/(4\/(-88)). Suppose l + u = w, 3*l = 4*l - 4. Calculate the remainder when 74 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2151)\/(-733491))\/((-1)\/(-31)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(132)\/sqrt(4))\/sqrt(11).\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - g - 6 = 0, 0*c - 4*c + 5*g = -21. Let m(h) = -15*h + 1. List the prime factors of m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -2*r = m - 13. Suppose 70 = r*p + 40. Solve 2*l = -4*z - p, -4*l + 2*z = 3*z - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616814993.\nAnswer: 19, 4657, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6924 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4679 = c, c = -3*a + 11292 - 4276. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/35)\/6*1\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 17. Let a(b) = -b**3 - 15*b**2 - 10*b + 212. Let g be a(-13). Determine v(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -77284*y**4 + 5725688*y**3 - 65412432*y**2 + 5615136*y - 120960 = 0.\nAnswer: 6\/139, 14, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(396) + 1)**2 + sqrt(396) + -1*sqrt(22)\/sqrt(2)*6 + 2.\nAnswer: -24*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11415 - -11522. Suppose 61 + 50 = 3*c. Calculate the remainder when v is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {q: 2, o: 4, c: 1, r: 1, v: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let j(k) = -k**2 - 1806*k. Calculate j(a(n)).\nAnswer: -4*n**2 + 3612*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42498329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 - 101*x**2 + 22*x**2 - x + 34*x**2 as o*x**2 + b + q*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = 0. Solve i*t = 5*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177510 and 7972395?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73164447.\nAnswer: 3, 17, 478199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*s**4 + 31128*s**3 + 104120*s**2 - 82464*s + 14336 = 0. Calculate s.\nAnswer: -4, 2\/7, 2\/5, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -497561, -3980694, -13434909, -31845746, -62198745, -107479446?\n\"Answer: -497590*f**3 - f**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3611433 and 4935.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(42\/224).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2570 divide 32408781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1492.41*239.\nAnswer: -356685.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2520 and 5985?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 22*j**2 + 131*j - 13. Determine o(-27).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205996434?\nAnswer: 2, 3, 7, 269, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102541 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 40704?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o + r = -221*o - 888, 0 = -2*r + 7 + 1 - 44 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461506?\nAnswer: 2, 29, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19)\/(-5))\/((-2)\/(-10)). Let x = 29 - 25. Suppose 5*h - r = x*h - 5*d, h - 5*d = -11. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mme when three letters picked without replacement from zlmmzzezmmm?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*g + g + 25, -4*g + 19 = p. Suppose 0 = -k - 8 + p. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4840 times 3\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*w + 7764 = 13*w - 5603 + 4019 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-32 + 4 + -6). Let l be (18\/(-108))\/(3\/u). Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 + 677 = 3*f. Does 45 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-66)*9*11*(-30)\/(-12375)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x**2 - 4*x)*(-83*x**2 - 99*x**2 + 117*x**2).\nAnswer: 130*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert abc5c3 (base 15) to base 6.\nAnswer: 451331533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/314 and -5\/18?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + o = -6*f + 16, 0 = 3*o + 15. Suppose -f*m - 7*m + 238 = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 6246284?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16506 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361971?\nAnswer: 3, 37, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g. Let m(n) = -4*n**3 - 2. Calculate m(d) + 8*y(d).\nAnswer: 4*d**3 - 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = x + 46, -350*k + 14 = -x - 354*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 1. Let z be u(7). Let v = 4 - z. Suppose -3*s = 5*x - 2*s - 7, -x = -v*s - 11. Solve 5*l + 20 = 0, 4*l = x*w - 7*w - 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11470 is divided by 699.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001525 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125775, 251438, 376955, 502254, 627263, 751910?\nAnswer: 876123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = 2*p + 2*k, 10 = 2*k. Is p greater than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13 - 31*m**2 - 34*m**2 + 57 + 2*m + 22*m**2 - 40*m**2. Let o(v) = 82*v**2 - 2*v - 45. Let r(g) = 6*o(g) + 7*q(g). Differentiate r(z) wrt z.\nAnswer: -178*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, b: 1, k: 2, d: 4, m: 1}. What is prob of sequence mu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2190285, -4380653, -6571021, -8761389?\nAnswer: -10951757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/(x\/(x\/x**(7\/2)))*x)\/x*x)\/x*x*x\/x**24*x*(x**(16\/3)\/x*x)\/(x*x*x\/x**14*x*x))**(-31) assuming x is positive.\nAnswer: x**(1333\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.62 * -0.004.\nAnswer: 0.29048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294023*n - 5*n**2 + 294023*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -6. Suppose -12 = o*b - 7*b. Let l be (119\/34)\/(2\/b). Let s(a) = -a - 6. What is s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193801.7003 to the nearest ten.\nAnswer: 193800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-2*r**5 - 2*r**5 + 5*r**5).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 61.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 4*z + 42 = -3*r, 3*r - 45 = -5*z. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688603872 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: Calculate (-1)\/((-4)\/(-6))*(-3)\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175216880.\nAnswer: 2, 5, 461, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64125624 divided by 4?\nAnswer: -16031406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3, -121, 3 in decreasing order.\nAnswer: 4, 3, 0, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = 4. Let s be ((-8)\/12 - -1)*t*4. Sort 0.1, s, 2\/11, -5 in increasing order.\nAnswer: -5, 0.1, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, 777.7, -0.1 in descending order.\nAnswer: 777.7, -0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y + 4. Let m be b(3). Let a = 6 + m. Factor -k + k**2 + a*k**2 - 4*k**2.\nAnswer: k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o + 22. Let t(y) = 11*y - 46. Let x(l) = 9*h(l) + 4*t(l). What is x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1595654?\nAnswer: 1595654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131867 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6689.0005541 + -6689. What is j rounded to five dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 596 + -152. What is the remainder when (1\/(-3))\/((-4)\/i) + -2 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 31*m**3 - 9*m**2 + 2*m + 13. Let r be 4 - (-8)\/(-6)*6\/(-4). Let o be f(r). Suppose -6*j + 4685 + o = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 238.95887836496.\nAnswer: 238.95887836496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 10. Let c be h(6). Suppose -c*q + 20 = -0*q. Suppose t - q*v + 3 = -6, -2*t + 5*v = 13. Let m(r) = r**3 + 4*r**2 + 4. Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + r + 431 - 428, -11 = -k - 3*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*64\/(-48)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-9) + 48359\/333 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 30*l - 66. Let h be z(-32). Let y be (-45)\/6*2\/(-3). Suppose -3*o - q - 3 = -4*q, 15 = y*o - q. Sort 1, h, o in increasing order.\nAnswer: h, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w - 2*m + 159, -4*w - 222*m = -7*w - 443*m + 225*m - 273 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140*((-9)\/(-315))\/(116\/203).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5 = m, -2*k - 2*m = 0. Find the third derivative of -23*p**3 + 3*p**k + 23*p**3 + 9*p**5 + 23*p**2 wrt p.\nAnswer: 720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 4*i**3 - 4*i**3 + (-i**2 - 3*i**2 + 3*i**2)*(-2 + 2 + 3*i) - 3*i**3 + 2 - 2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -163.4, 3\/199 in descending order.\nAnswer: 0.4, 3\/199, -163.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 113, 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 - (8 + 423\/63))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427639420.\nAnswer: 2, 5, 13, 17, 31, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196206 and 2468?\nAnswer: 392412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22)*(9 - 5)\/28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127112 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*d - 8 + 12, 5*d - 2*c = -28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 2*a)*(-572031*a + 5708*a**2 + 572031*a).\nAnswer: -11416*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 6*c**2 + 13*c + 4. Let v(i) = i**2 + i + 2. Let g(j) = -u(j) + 2*v(j). What is the third derivative of g(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4\/3 - 25*z**3 - 90*z**2.\nAnswer: 5*z**2*(z - 18)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10121919 is divided by 82966.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than 190\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -54. Suppose -4*l - 10*i = -x*i, -3*i + 5 = 2*l. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j, 4*o + 2*j + 0*j - 18 = 0. Factor o*h**2 + h - 5*h + 3*h.\nAnswer: h*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 24*y + 174 = 74*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21495? (a) -3\/2 (b) -3\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j. Let y(r) = -2422736*r**2 - r + 3. Give y(s(f)).\nAnswer: -87218496*f**2 - 6*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*i + 21, 0*t = -4*t - 5*i + 30. Let p(v) = -v + 5. Let d be p(t). Let o(u) = -1 - 3 + u + u + d*u. Give o(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*f + 70*f + 649*f**4 - 18*f**3 + 94*f + 65*f)*(2 - 2 - 2*f).\nAnswer: -1298*f**5 + 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 3. Suppose 0 = -0*l + 4*l + 12. Let j be f(l). What is h in 4*h**3 - 5*h**j - 3*h**3 + 3*h + 3 + h**3 - 3*h**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = 17*g - 674. Calculate the remainder when g is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111812 a multiple of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49712 is divided by 1988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0679 and -0.1829.\nAnswer: -0.01241891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 11 = -5*z - 4*d, 0 = 4*d - 12. Which is greater: z or 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 - 32 - 19 - 16 + 67.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 4, e: 2}. What is prob of sequence ffo?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -69, -141, -239, -363, -513?\n\"Answer: -13*w**2 - 7*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.064 and 779.5.\nAnswer: 779.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/6)*a*a**4*(a**0)**(-17\/4) assuming a is positive.\nAnswer: a**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w**3)\/(w*w\/(w\/w**1))**(25\/3))\/((w*w**(-2)*w*w)**(-30))**(-1\/17) assuming w is positive.\nAnswer: w**(-838\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-1 - -1) + 0. Let g(q) = 159*q**3 - q**2 - 6*q - 1. Let a(b) = -b. Let j(v) = 4*a(v) - g(v). Is j(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*h + 173 - 173)*(5 - 5 + 3) in the form i + a*h and give a.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**34*l*l*l**(-6)*((l\/(l\/((l**(-19)\/l)\/l)))\/l)**(2\/43) assuming l is positive.\nAnswer: l**(1246\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, n: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, s: 1, k: 7}. Give prob of picking 2 k, 1 y, and 1 s.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 299810*h + 599523. Give o(-2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(0 + 10 - (-35390)\/(-3540)).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 2198684841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 15*s = -28. Suppose 2*n + 0*o - s = -o, -22 = -2*n + 2*o. Solve -2*j = -x - 6, 5*j - 3*x - n = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6 + 3.9. Which is the second smallest value? (a) w (b) -15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -2)*(0 + -4 + 3). Suppose 2*r = -k*g + 2, 0*g + 10 = 3*r - g. Solve -4*b + r*q - 5 + 1 = 0, -4*b - 2*q - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*q - 15 = 0, -d - 4*d = 3*q + 9. Let y = -35122 - -35108. Is d <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -2*x**7\/105 + 2*x**5\/15 - 2*x**3\/3 - 3*x**2\/2 - 2*x. Let v(l) be the first derivative of n(l). Factor v(m).\nAnswer: -4*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 21*h**2 - 15*h + 21. What is the tens digit of w(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8551029.\nAnswer: 3, 2850343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -31*m**2 + 4697*m + 2280. Determine t(152).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 34 = -5*f, 13*f = -3*u + 10*f + 24. Let q(y) = -2*y**3 + 7*y**2 - y - 4. Let i be q(u). Put i, 29, 4, -3 in descending order.\nAnswer: 29, 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4188*n + 17 = -4187*n, 0 = 3*t + 12*n - 114. Let k(v) = -6 - 3*v + 3*v + 5*v. Determine k(t).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 13*r**2 - 159*r + 25. Determine v(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68728, 137464, 206204, 274948, 343696?\nAnswer: 412448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 2*y + 2. Let i be b(-2). Let f be (-1 - i)*(5 - 4). Let v be -4*(2 + 27\/(-12)). Is f greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - -16. 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 0.4 - 1780715129292?\nAnswer: -1780715129291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n - 2. Let i = 16 - 12. Determine p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2144.4593 to zero dps.\nAnswer: -2144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1249609550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - sqrt(40))*6*-6)\/(-4*sqrt(128)\/sqrt(4)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 204 and -0.4.\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26836\/4447 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.191 - 7328.\nAnswer: -7309.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkkkkkkkik. What is prob of picking 3 k?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2, -2*p + 26 = -v + 6*v. Suppose -v*q + 10 = -4*q. Let n be 2 - 1*(-39)\/3. Solve -4*j = n + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 114213075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1809 - 123*u - 105*u + 227*u in the form c*u + w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 1. Let q be l(3). Suppose -304 = -287*z + 557. Which is the smallest value? (a) z (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*o**6 - 103*o**2 wrt o?\nAnswer: 1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 2*v**4 - 2*v**2 + 2*v**4 - 6*v**4 + 3*v**4 - 4*v**4 - 2*v**4 + v**4 - v**4 - 2 + 2 + (0*v**4 + 0*v**4 + 2*v**4)*(5 - 2 - 2).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8780199 divided by 3\nAnswer: -2926733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90237?\nAnswer: 3, 7, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -2*n, 3*n = v - 6 + 13. Suppose -a - t + 175 = n*a, 3*a + 4*t = 115. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -92\/15039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:42 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/120 and -77\/325889265.\nAnswer: 2607114120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*l + 832896 - 272622. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.2. Let t = 20930978\/159 - 131642. Let r = t - 2\/53. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168\/924 - (-106)\/(-220). What is the smallest value in m, -3, 0.3, 0.09, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*p - 27, 5*j - p + 4*p + 43 = 0. Let l(r) = -r - 7. Let u be l(j). Which is the third biggest value? (a) -0.06 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740591?\nAnswer: 740591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439716?\nAnswer: 2, 41, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30264 divided by -10088.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjjjjtjtttjjjjjjtj. Give prob of sequence tttj.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*a + 27081 = 94*a + 872*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose -3*m - 12 - 3 = q. Let y(z) = -z + 1. Let a(x) = -2*x**2 + 3*x - 6. Give m*y(j) - a(j).\nAnswer: 2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from pkpkkppkppkkp.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:59 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21025071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235\/4 + 59. Let t = 184\/7 - 26. Which is the biggest value? (a) t (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -71*r**3 + 2*r**2 + 3*r + 2. Does 8 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/(-8) + 2\/(-8). Let o be (1 + (-20)\/22)*d. Let y = 205285 - 1026428\/5. Which is the second biggest value? (a) 0.08 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*w + 76, -w - 423 = 5*x - 381 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12850056 and 43\/13920894.\nAnswer: 167050728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192)*1 - sqrt(192)))**2 + (sqrt(27)*5)**2 - (sqrt(363) - -4*(sqrt(363) + sqrt(363) + 2)**2).\nAnswer: -4957 - 363*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92850 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, p: 2, v: 3}. What is prob of sequence pq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + (-19 - (1 + 5))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 79. Let h(m) = -40*m. Give h(t(k)).\nAnswer: -80*k + 3160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8333.2 - 8333. Which is the third smallest value? (a) -3 (b) s (c) -0.056 (d) -1\/7 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*o**3 - 126*o**3 - 45*o**3 - 130*o**3.\nAnswer: -543*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7174*k**2 - 9570*k**3 - 7174*k**2 + (-5*k**2 + 3*k**2 + k**2)*(2*k + 0 + 0).\nAnswer: -9572*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -31. Suppose g*c + 642584 = 186584. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o + 1285 + 816 = -2735 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 34*g + t - 128, 4*g - 924*t - 28 = -927*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(8\/(-14))*(-5012)\/1074.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4 - (5 + 3)) - (-1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*z - 6*z, -z = 4*u - 11. Let i(h) = -h + 4. List the prime factors of i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(11\/22). Let r be (-34)\/(-5) + i\/(-15). Solve 5*v + r = -18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 12 + 39)*(-7 + 4*f + 7).\nAnswer: 212*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*v + 40, -4*o = 4*v - v - 108. Suppose -2*p + o = p. Suppose 0 = -t + p + 6. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*s + 8 = 0, 0 = 3*w - 2*s + 3*s - 1. Let u(x) = -220*x + 235. Let i be u(1). Which is the biggest value? (a) i (b) 0.3 (c) w (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 38*b + 88 = -77*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.14 (b) -0.2 (c) -1 (d) 4.4 (e) -2\/47 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 686*c - 4345. What is l(6)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + t - 16, 0 = 7*h - 4*h - 2*t - 4. Let w be (h - 0)*9*5\/45. Solve -5*d - 4*g = -2*g + 4, 12 = w*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + (76 - -6) + -3 + -4 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35602 and 166355?\nAnswer: 846081530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -5*a**2\/2 - 2*a - 2. Let z(j) = -16*j - 7. Let y(g) = 7*q(g) - 2*z(g). Let v(l) = 3*l**2. Determine v(y(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59\/4 + -15. Let m be 2\/(-4) - (-4)\/24. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**3 - 13*o**3 - 28 + 37 to the form a + p*o**3 + n*o**2 + u*o and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -r + 1115, -4*g + 2781 = g - 4*r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*l**6 + 2*l**2 - 12*l?\nAnswer: -9000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 953\/4 + 1\/(-4). Suppose -2*c + w = -364. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 51*i**2 + 643*i + 167. Calculate n(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 + 10*b - 20*b + 5*b. Calculate the remainder when p(-3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4666526202 to the power of 1\/2, to the nearest integer?\nAnswer: 68312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 689 = -3*i, -q - 3*i + 895 = 4*q. What is the greatest common divisor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v**2 + v + 3. Let a be j(-4). Let m = 8231\/9 + -909. Find the common denominator of m and 12\/18 + a\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 240 = -4*k. What is the greatest common factor of k and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 414 - -415. Suppose -d - 4*q = -814, -d + 0*d - q + x = 0. What are the prime factors of d\/36 + 1\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)\/sqrt(5) + sqrt(7) - (0 + sqrt(7)*-1)) + -4)**2.\nAnswer: -72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -7*w**6\/120 + w**4\/6 + 7*w**2. What is the second derivative of m(g) wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -4, -3 in ascending order.\nAnswer: -146, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-16)\/280*-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 46 = 42. Let a be 24\/11 - (-4)\/c. Let g(h) = 5*h + 0*h + 4*h**2 - 3*h**2 + a + 0*h. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, -1238 in decreasing order.\nAnswer: 17, 1, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x - 637*x - 13750 = -161*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*q - 3*q + 16*q)*(-4*q + 4*q - q) + (1 + 1 + 0)*(3*q**2 + 0*q**2 - q**2) - q + q - q**2 - 26*q**2 - 6*q**2 + 0*q**2.\nAnswer: -67*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2627*j - 2623*j + 42 = -3*w, -3*w - 5*j = 42 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39270 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-36443)\/4620 - 16\/(-2) and 71\/15.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 11 - 0 - -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 3, -147, -455, -975, -1761?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = h - 91. Suppose 3*j + 3*g - 12 = -6, h*j + 2*g = 25. Solve 14 = -f - 4*s, 3*s + 9 = 2*f - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s - 10. Let h be d(7). Let q be ((-42)\/(-8))\/(3\/h). What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059514 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 9. Let s be (13*1)\/(-1) - (-36)\/18. Let w = s - -7. Let l(n) = -n**3 - 4*n**2 + n + 4. Let c be l(w). Determine b(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -2\/15 (c) -2\/31 (d) 1\/31 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 + -1747535?\nAnswer: -1747601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -607*m**4 + 4*m**2 + 605*m**4 - 4*m**3 - 2*m + m**2 - 2*m**2 - 8*m**2 - 2 to r + k*m**2 + n*m**3 + i*m + f*m**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354389358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4 and (3 - 0) + -5*7767\/10800.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((76\/19)\/(-1))\/19.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68320, -35, -2\/23 in ascending order.\nAnswer: -68320, -35, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 4. Determine h(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24345 - -24359. Solve 8 = -2*n - 4*m, 12*n = g*n - m + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 5067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*i - 64*i - 63 = 0. What is the least common multiple of i and 162\/(-9)*(1 - 2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 11*m**2 - 12*m + 14. Determine v(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 92. Let f(k) = -k - 17. Let l(i) = 26*f(i) - 5*z(i). Calculate l(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 - 3*n + 150903 - 150903 + 2*n.\nAnswer: 15*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 92*m**2 - 256*m + 912.\nAnswer: -4*(m - 2)*(m + 6)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*c + 475*c - 840 = 264*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3270 = -5*c + 68*t - 73*t, 4*t - 12 = 0. Calculate the greatest common divisor of 62 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 - 9*k - 9. Let o(a) be the third derivative of a**5\/30 + a**4\/6 + 2*a**3\/3 + 2*a**2 + 1168. Suppose -2*u - 45 = 3*u. What is u*o(y) - 4*g(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/52 - (-7)\/91. Solve z = w + 7 - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8308000 to the nearest one hundred thousand.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i = 48*i + 64. Suppose -17 = -3*v - w, -4*v - 3*w + i*w - 9 = 0. Let m be 16 + 3 + -1 + -1. Sort m, v, 5 in decreasing order.\nAnswer: m, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = -0*b. Solve b*z - 5*z + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:56 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/6656 and -67\/260.\nAnswer: 33280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 59. Let b be m(-19). Suppose b*p + 3*x = 34*p + 779, -3*p - 5*x + 1170 = 0. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 38 = 18. Let t be (-4 - -2) + 4 + 19. Suppose 2*i = v, z - i = -2*i + t. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:31 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.6 - -6. Let l = -1.48 - v. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-4)*2\/4. Differentiate 2*t**3 - 2 + 0 - 3*t**3 + q with respect to t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f*w**4 - 44810*f*w - 87178*w**5 - 2*w**3 + 3*w**2 wrt w.\nAnswer: 96*f*w - 5230680*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394\/9 - -44. Which is the closest to 0? (a) 2 (b) -1 (c) 5\/2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 21 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**5 - 31*u**3 - 303*u**2 wrt u?\nAnswer: -420*u**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917.768864 rounded to the nearest 10?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.068 - -0.09. Let d = -0.061 - r. Let z = d - -0.156. What is z rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (-160)\/(-48).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 13 - 4) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30034598 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:03 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**3 - 3*u**2 - 8*u - 6. Let y(x) = 11*x**3 + 5*x**2 + 18*x + 13. Let g(l) = 7*a(l) + 3*y(l). Let i = -10 + 4. What is the tens digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**2 - o - 1. Let q = 451 + -454. Let a(w) = 4 + 3*w + 0 - 1 - 2. Calculate q*a(z) - 5*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 + 14*p - 14*p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59301, -59520, -59727, -59916, -60081, -60216, -60315?\nAnswer: -60372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 14. Let t be (-122)\/b - (-1)\/(-5). Solve -2*a = a - t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336888 is divided by 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10613 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.6 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-10))*(3981862\/(-701008) + 80\/14).\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 18, 51, 118, 231?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -2*j - 3*n, 3*j - 925*n + 69 = -928*n for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 9 + 15. Suppose -q*y = -20*y + 72. Solve -12\/5*a**y + 12\/5*a + 0 - 9\/5*a**3 - 3\/5*a**5 + 12\/5*a**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/143504 and -71\/26907.\nAnswer: 430512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.05 in 0.1, -2\/3, -7, 8, 0.2, -39?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 0*b**2 - 3*b**2 + 3*b**2 - 2*b**2 + 1 to the form q*b + k*b**3 + o*b**2 + j + y*b**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 379 - 379.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -3 + 12 + 16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/(-44) + (1 - (-3 + -1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3284445 >= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -6 + 32\/3*q**3 - 28*q - 4\/5*q**5 - 6*q**4 + 12*q**2. Determine c so that w(c) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232\/48*-9*2\/12*4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 108*z + 3356. Let w be b(-16). Calculate the greatest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + 241. Suppose -r = -5*q + 3*b + 12, 5*q + b = 85. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 22 + 0)*(-41 - 37 + 70)*(4*z**2 + 2*z**2 - 5*z**2).\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w*w**(-3))\/w))\/w)**(8\/7)\/(w**(-7\/2)\/w*w\/(((w\/((w*(w\/w**(-3))\/w)\/w))\/w*w)\/w*w)) assuming w is positive.\nAnswer: w**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0*2\/8)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/10 - 6\/15. Let o(m) = -70*m + 9. Let p(n) be the first derivative of 19*n**2 - 5*n + 1. Let w(b) = 6*o(b) + 11*p(b). Determine w(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 73*v - 38. What is the hundreds digit of b(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1753929 or 12277504\/7?\nAnswer: 1753929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*-7*(-132)\/462.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66933*t + 66932*t = 5*x + 10, 4*t + 4*x = 3*x + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 3*u**2 - 2*u. What is v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -824.63 - -821. Let v = 417183 + -417179.36821. Let h = y + v. Round h to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/40 - t**5\/10 + 9*t**4\/8 + 9*t**3 - 45*t**2. Factor i(m).\nAnswer: -3*(m - 3)*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*l - 58 = 4, x - 37 = -4*l. Let y = x - 17. Sort y, 0.3, -3 in descending order.\nAnswer: y, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1309 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + 381\/9. Let b = h + -26. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -54*y + 41. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15292 + -15292.000014241. What is g rounded to 7 dps?\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69185250 to the nearest integer?\nAnswer: 8318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4864)\/532 - (0 + -9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.21 - -10.2. Let g = 4 + l. Let j = g - -2.01. Which is the biggest value? (a) -0.5 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 17, -5 in descending order.\nAnswer: 17, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-9)\/(36\/8))*2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 74. Calculate the remainder when 111 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**2 + d + 1. Let g be k(-1). Suppose -18 = -3*x + 3*u, -x + 0*x - 5*u = g. Solve -12 = -5*y - 3*j, x*j = 2*y + 9 + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15205*k**5 - 1150*k**4 + 30247375*k wrt k.\nAnswer: -304100*k**3 - 13800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(-2*d - 5*d + d) + (-2*d + d - 3*d)*(-3 - 1 + 2) to i + t*d and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let q = g - -13. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-14)\/3*(-4)\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 + 177152*d**2\/3 + 7845530621*d\/3 - 15691769858\/3.\nAnswer: (d - 2)*(d + 88577)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -87*z**3 + z**2 + 44*z + 142. What are the prime factors of j(-3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, -3\/5 in descending order.\nAnswer: 2\/3, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1326 divide 1295365009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 23474.\nAnswer: 1\/23474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 5. Let x be n(-7). Which is smaller: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 2. Let v be f(-5). Suppose -v*u + 0*u = -6. Solve t = u - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 + 401. What is the greatest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - j - g, 4*g - 3 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320937 and 510.\nAnswer: 54559290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*x**2 - 1609*x + 1609*x)*(x - x + 3*x).\nAnswer: -708*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 2. Let h be y(2). What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -653818, -653786, -653734, -653662, -653570?\n\"Answer: 10*w**2 + 2*w - 653830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -9 + 24 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/12 + 2*h**3\/3 - 5*h - 6. Let f(n) be the first derivative of i(n). What is f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 8*u + 10 = m, 2*u - 2 = 0. What is the second biggest value in -1, 5\/3, m, 0?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110001010101000 (base 2) in base 3?\nAnswer: 100121101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*g + 1 + 3, -3 = 3*g + b. Sort 1\/2, 4, -1\/8, g in increasing order.\nAnswer: g, -1\/8, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 - 129*o**2 - 3*o + 136. What is f(43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -521, -1158, -1815, -2498, -3213?\n\"Answer: -k**3 - 4*k**2 - 618*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**4\/12 + 125*a**2. What is d(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 113 = -7. Let q be ((-3)\/(-8))\/(t\/(-100210)). Let c = 2521 - q. Find the common denominator of c and -9\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 117. Suppose 0 = -8*o + b*o, 5*c = -5*o + 35. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1624*q + 3464*q - 1211*q + 2696*q + 593*q.\nAnswer: 7166*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 16 + 4 + 6)*(22*p - 46*p - 3*p) + (-2*p - 3 + 3)*(0 - 1 + 2).\nAnswer: -704*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:39 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 42135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3479 - 2521 = s. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -384*n**2 + n + 1. Let q be g(3). Let m = 34427\/10 + q. What is the common denominator of 127\/6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.1, -0.6, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/901241 and -8\/9.\nAnswer: 8111169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from phrpprpprjrrrjrprrp.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 51159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12292 = 2*j - 4*x, -3*j = -5*x - 8618 - 9817. What is the units digit of ((-4)\/8)\/((-6145)\/j - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15288)\/(-9))\/(-28))\/((-1)\/9*18\/(-3))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(2\/5)))*b)\/b**(-2))\/(b**(2\/7)*b)**11*((b*(b**1\/b)\/b)\/b)**(1\/6)*(b\/((b\/b**(5\/2))\/b))\/((b**(-4\/7)*b)\/b) assuming b is positive.\nAnswer: b**(-613\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1264 and 5846?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318304073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39303120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32884198 is divided by 111851.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:15 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73, 334, 783, 1414, 2221, 3198, 4339, 5638?\n\"Answer: -y**3 + 100*y**2 - 32*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4454*h**3*t**5 + 6*h**3*t**4 - h**3*t + 11*h**2*t**2 - 94*h*t + 10 wrt t.\nAnswer: 267240*h**3*t**2 + 144*h**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 4050*b**4 - 166803*b**3 - 4050*b**2 + 166800*b = 0. What is b?\nAnswer: -1390, -1, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121.566 minus 18.4595?\nAnswer: -1140.0255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose p + 5 = 4*a. Find the third derivative of 3*f**6 + 54*f**3 - 6*f**a - 54*f**3 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/3)\/(7\/(-504)*4). Is 8 a factor of (42\/84)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1 - (5 + -5). Suppose -8 = -q + r*q. Let m be 14\/q*24\/98. Is 0 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45123035*q**3 - 7*q**2 - 10967*q - 2.\nAnswer: -270738210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4863 + -0.49. What is g rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/7992 and 68\/388167.\nAnswer: 27948024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 1. Calculate the least common multiple of c(-1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*q**2 + q**3 - 3*q**3 - 646*q**2 + q**3.\nAnswer: -q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {g: 1, q: 7, u: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17960\/11, -3, 2, -0.03, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, -0.03, -3, -17960\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200 + -305. Let d = t + 103. Which is the closest to 1\/4? (a) 0.3 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6030400238?\nAnswer: 2, 43, 70120933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(720) - (-1*sqrt(720))**2) + sqrt(720))*4 - sqrt(720)) + -1)*-6 + 2.\nAnswer: -504*sqrt(5) + 17288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265816867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*g + 11*g + 1728 = 147*g. Solve -g*o - 54 = 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705724 - 607?\nAnswer: 705117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70321 (base 12) in base 14?\nAnswer: 3b0c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s - 6. Let c(d) = -15*d + 6. Suppose 18*t - 21*t - 15 = 0. Let n(g) = -18*g + 8. Let l(q) = t*c(q) + 4*n(q). What is 7*l(j) + 2*x(j)?\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3373 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -12. Let x = z - 19. Which is the fourth biggest value? (a) 0 (b) 2 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/7, 0.3, 4\/17 in descending order.\nAnswer: 3\/7, 0.3, 4\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -67*n - 39*n. Sort 32, -16, n, 4 in descending order.\nAnswer: 32, 4, n, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 48.51\nAnswer: -52.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10, -p + 2120 = 5*m - 373. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -j + 3*c + 35, 2*j = -5*c - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*u**2 - 2*u**3 + u**2 - 2*u + 2*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*o + 542, p = 5*o - 2*o + 815. Suppose 4*c - 155 = -879. Let f = c - o. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -417*h**2 - 36 + 17 + 129*h**2 + 18 + h in the form k*h**2 + v + u*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*j + 8 + 58 = 0, 3*j - 41 = -z. Suppose v + 2*h = 8 + 6, -4*v - h = -56. Calculate the remainder when z is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjdiitiitxitdotj. Give prob of picking 3 i and 1 t.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from nnznnnnznz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -6 + 3 - 6 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 347.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 + 3*x + 2. Let f be m(-2). Suppose -f = v - 2*v. Suppose -3*i + 12 + 2 = v*w, -4*w = -3*i - 2. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from wwowwlwwwwowww.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81419835 divided by 5.\nAnswer: 16283967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 138*p - 135*p - 2040, 5*p + 25 = 0. Which is bigger: x or 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*0.09.\nAnswer: 6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = i - 1, -2*c - 2*i + 2 - 4 = 0. Let h be (0 + (-1 - -2))\/(-1). Let t be (-22)\/(-24) + h\/(-3). Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.07 + -20. Let f = m - 3.07. Which is the biggest value? (a) f (b) 3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157848285 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 4*f**2. Let v be a(5). Let u(d) = 49*d + 2804. Let q be u(-56). Calculate the greatest common factor of v and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1156, -1755?\nAnswer: -2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 161*h**3 + 2579*h**2 + 32*h - 48. Determine r(-16).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 101.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1755080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 - 1. Let k(c) = 7*c**2 + c + 1. What is 2*k(a) + 3*t(a)?\nAnswer: -10*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 982*z - 49 - 65.\nAnswer: 982*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 4. Let u be x(0). Suppose -4*q - u = -6*q. Suppose h + q*h = 9. Solve -h*s + 2 = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -39 + 22 - (3 + (5 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -4025?\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/(-24) + 15\/40. Solve 0*k - 2*k + 8 = -2*u, 15 = o*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -25*i + 6*i + 10*i**3 - 4*i**3. Let c(h) = -2*h. Calculate a(c(q)).\nAnswer: -72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**(-4\/5)\/(n\/(n\/n**5*n*n))**(-2\/23) assuming n is positive.\nAnswer: n**(-614\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + 8*o - 8. Let b be r(-5). Let u be b - ((-3)\/6)\/(2\/4). Find the second derivative of 17*z - 4*z - 70*z**3 + 68*z**u wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5809 divided by 1472.\nAnswer: 5809\/1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/8 + (-3)\/12. Suppose p*u - 35 = -u. What is the remainder when 4\/10 - 315\/(-25) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*d - 14, 0 = -d - d + 4*j + 6. Suppose 3*o = 2*y + 62, d*o - 2*o = 3*y + 57. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.6\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 169*p - 57*p + 55 + 19*p + 5*p as a*p + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 11966?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(1872)*6*3.\nAnswer: -216*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 1, w: 1, c: 1, a: 1, d: 2}. Give prob of sequence kda.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -41. Suppose -18 = 10*i - y*i. Solve -6*h = -3*h - i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 30*l**2 - 5*l + 73. Determine q(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2.6. Let a = -0.2 + -0.8. What is the nearest to -2\/3 in 0, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 14*y - 5. Let g(n) = 16*n - 1. Let d be g(1). Let h = d + -25. Is w(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9937449 divided by -9\nAnswer: -1104161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 3) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -1.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8*c = 10. Suppose -3*b = c*o - 5, 5*b + 15 = 6*b - 2*o. Solve -8 = -2*d + p, 3*p - b - 1 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 + 2*c + 6. Is 22 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 661. Let r(z) = -2*z**2 - 3. What is x(r(n))?\nAnswer: -4*n**4 - 12*n**2 + 652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 8*k - 12. Let w be m(3). Solve 3*s = 2*b + 8, w*b - 5 = 3*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -5, -0.5, -225, -6 in descending order.\nAnswer: 1, -0.5, -4, -5, -6, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 7*x + 8. Suppose -2*m = -4*j + 32, 13*m - 11*m - 16 = -2*j. Calculate the lowest common multiple of j and p(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 + 23*j**2 - 322.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 1*sqrt(76))*-2)\/(6*sqrt(16)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 98*z**2 - 22736*z - 22850. Give w(233).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 6*r**2 + 6*r - 4. Let n be b(3). Let s be (n\/(-21))\/(2\/(-729)). Let w = -170 + s. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -11*b**7\/7 + 12*b**3 + 39. What is the third derivative of z(n) wrt n?\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - -17 - (-17 + 23 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 greater than 232454\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m - 4*m + 3)*(7 + 48*m - 21 + 16).\nAnswer: -96*m**2 + 140*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2 (c) 17 (d) -0.04 (e) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -47, 3, -0.5, 16, -10 in ascending order.\nAnswer: -47, -10, -6, -0.5, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = p, p - 2*p - 4*x + 28 = 0. Let f = p - 6. Suppose -5*l = f*l - 2597. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 77 = -81 - 110. What is the remainder when n is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, 2\/9, -3\/10, 3\/4, -5, -1.283?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30054710 bigger than 30054717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 55102 = 187010. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 37. Let n be l(-7). Suppose 6 = 4*g + 2*m, 2*g - 4*m + 9*m = -9. Put 0, n, g in increasing order.\nAnswer: n, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2 + g**3 - g**2 + 2 + (0 + 0 + 3*g)*(-2*g**2 + 3*g**2 + g**2).\nAnswer: 7*g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 755, 3127, 7081, 12617?\n\"Answer: 791*w**2 - w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54 + -0.04. Let u = -4.5 + 4.2. Let w = -27.922 - 0.078. What is the nearest to w in j, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/53 (c) 5\/148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/18*2 - 1\/3. Let h be 35\/(-30) + a + 1. Let t = 0.38 + 8.62. What is the nearest to -2 in t, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 117, 225, 333, 441, 549, 657?\n\"Answer: 108*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((2 + sqrt(112) - sqrt(112))*1 - sqrt(112)))*-6 + (sqrt(896)*4)\/(sqrt(392)*2))**2.\nAnswer: -2112*sqrt(7)\/7 + 31228\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 - 4*r - 4. What is the units digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a3d7c (base 16) to base 10\nAnswer: -2768252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 1. Let q(s) = -s - 13. Let v be q(-16). Suppose 3*n - 24 + v = u, 0 = 2*n - 5*u - 1. Let k be ((-4)\/5)\/(n\/(-20)). Determine i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 + m + 73620. Let q be l(0). Suppose 0 = -z + q + 1136565. Let h = z - -219815. What is h rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 86*c - 25063. Determine k(121).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/75 (c) -0.3 (d) 6\/7 (e) -0.2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 23.87. Let o = 0.63 - u. Let i = 9 + -25\/3. Which is the closest to i? (a) -0.5 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 44*o - 36. Calculate c(45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14756952, -14756905, -14756856, -14756805, -14756752?\nAnswer: -14756697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7391 + 0?\nAnswer: -7391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 3. Let o = 5.014 + -0.014. Which is the closest to 0.1? (a) 0 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/24 + 5*u**3\/3 + 8*u**2. Suppose 5*n - o = 26, 4 = -0*n + n + o. Suppose -n*b = -b - 20. Determine t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5157*c + 4042. Determine g(1).\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 3\/2*b**3 + 1\/60*b**5 + 0*b - b**2 + 1\/24*b**4 + 0. What is the units digit of h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59240 and 15080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81745767 to the power of 1\/2, to the nearest integer?\nAnswer: 9041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - w**2 + 3*w - 3. Let v(h) = -h**2 + h - 1. Give -3*v(p) + z(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -5 (c) -395 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.02 - -0.02. Let i = w + 3. Let g = i + 3. Which is the smallest value? (a) 1 (b) g (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c - 1. Let w be f(2). Suppose -b - w = -2*b. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/3 - 13*q**2\/2 - 25*q - 17. Let t be p(-3). Solve 2 + 3 = -t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/12*(12\/28 - (-118)\/(-14)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/(155\/(-50) + 3). Let k be (-250)\/(-4) - l\/16. Let i = 54 - k. Let y(a) = a**2 + 7*a - 10. Determine y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-30)*((-162)\/(-24))\/(-3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4424*d**3 + 7*d**2 + d + 434 wrt d?\nAnswer: 26544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-1\/3)*a))\/a*a)**(-4))**11)**(-18\/7) assuming a is positive.\nAnswer: a**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12271*n**3*u**5 + n**3*u**4 + 7*n**3*u + 4*n**3 + 7*n*u - 19*u**2 wrt u?\nAnswer: 736260*n**3*u**2 + 24*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3 + 4 + 5*h + 12.\nAnswer: 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/12 - 33\/4. Let y = -63 + 24. Let v = y + 36. What is the closest to -0.1 in z, -0.07, v?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -8 - (-230 + 270).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 + 3 = 0. Let i = 33 - -10. What is the remainder when i is divided by 24 - 3\/(u\/2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 1\/32 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 568.27 and -5.\nAnswer: 563.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 275632*r**3.\nAnswer: -4*r**3*(r + 68908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 20*l**2 + 2163*l - 31346. Give d(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 882.2377 weeks?\nAnswer: 533577360960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -280027.5892 rounded to the nearest 1000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 3}. Give prob of picking 2 d and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnn when three letters picked without replacement from {v: 1, n: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(4\/5))\/f)\/f*f*f\/f**(2\/15))\/((f\/(f*f**(8\/3)*f))\/(f\/(f**(10\/3)*f*f))) assuming f is positive.\nAnswer: f**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:43 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -650980 and 1.251.\nAnswer: -814375.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 9*h**2 - 11*h + 2. Let z be g(-8). Suppose -n + 2*n = z. Let l = -17 + n. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -600627 + 28?\nAnswer: -600588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 0, 5, 3, 130 in decreasing order.\nAnswer: 130, 5, 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/17 + 32682*t**2\/17 + 2083192*t\/17 - 4297128\/17 = 0?\nAnswer: -16277, -66, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*t - 5*y + 27, 4*t = -4*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2163464798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 2. Let m be f(0). Suppose 0 = m*t - 3 - 1. Solve t*u = 3*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.155 + 0.156808. What is g rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) + -5*sqrt(120)) - sqrt(120)) + 5*sqrt(120))\/(3*(sqrt(960)*6)\/sqrt(6)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = 0, -5*u + 75775 = 3*t - 9*t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 + 3. Let i(z) = 3*z**3 - 13*z + 14. Determine i(s) - 3*j(s).\nAnswer: 12*s**3 - 13*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 4 = 0. Suppose -2*o + g*r - 2*r + 56 = 0, 3*o + 5*r = 40. Suppose 2*z - 2 = l, 0*z = 2*z - 4*l + 10. Solve 2*y + z*y = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 9. Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 113220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.012\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 52 + 3*o - 2*o - 290 as t + u*o and give t.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -558, -516, -444, -336, -186, 12, 264?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 8) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 4*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 - 15 = 4*k, 0 = -4*k - 5*b + 1. Let a be k*(-2 - (-3)\/(12\/10)). What is the nearest to 0 in 54, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 5)*1\/2. Let i = -14 - 2. Let k = i - -11. Sort x, k, 0.4 in decreasing order.\nAnswer: 0.4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -18 - (-30 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-11)*1\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 990.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 54122 + 54122.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2054 + -1)*(12 - -3). Let i = -47695 + x. What is i rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 4461661.\nAnswer: -39\/4461661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let n(f) = -16*f**2 + 44*f. Let o(i) = -i**2 + 3*i. Let s(k) = -6*n(k) + 88*o(k). Give s(t(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {e: 6, j: 4, v: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsfp when four letters picked without replacement from {r: 1, i: 1, p: 1, f: 2, o: 1, s: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137291508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-400)*(-15)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 4943971?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 3472?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 115. Let t(r) = 2593*r**2. Give y(t(w)).\nAnswer: -20170947*w**4 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from pxfxffxxxfp?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 76, -4, -16 in ascending order.\nAnswer: -16, -4, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607112.\nAnswer: 2, 325889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - 8. Suppose c - u = 6. Suppose -v + c = v. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, 22, -4 in decreasing order.\nAnswer: 22, 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*g + 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, l: 2}. Give prob of sequence lw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:59 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/3 (b) 1 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 449733755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9893658819592 + 0.05\nAnswer: 9893658819592.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 163983500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 - 1. Let f be v(1). Suppose f = b - 9. Solve 5*t = -2*i - b, 3*t + t = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9172 + -3457. What is the greatest common factor of 135 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 9*k = 226*k - 5208 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g + g. Let b(y) = y**g - 2*y - 9 - y + 9*y**2 + 4*y. List the prime factors of b(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17036*g**3*n*q**2 + 134*g**3*n*q + 101*g**2*n*q**2 + 4*g**2*q + 5*g*n*q**2 - 8*g*n*q - 4*g*q + 2*n*q**2 wrt g.\nAnswer: -102216*n*q**2 + 804*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*m + 19 = 5, 0 = 3*r - 3*m - 27. Suppose -r*w = -186 - 2. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 45. Let z(x) = -5*x + g - 4*x - x. What are the prime factors of z(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 0, 411 + 395 = h - 3*o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -303.06 + 73.96. What is a rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 25. Calculate s(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-12))**(1\/24)\/(((m*m**(-14))\/m)\/m**17))**(-15) assuming m is positive.\nAnswer: m**(-915\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 - 5*l + 6. Let a be z(5). Let t = a + -4. Suppose 2*p = t*u + 190, 4*p - 3*u - 217 - 168 = 0. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 + 0*d**2 + 0*d**2)*(-24*d**3 + 10*d**3 - 10*d**3).\nAnswer: -120*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36224 and 0.5.\nAnswer: 36224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58543 times 10.8?\nAnswer: 6.322644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/20*1\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1 - 4 + 1 + 1 + (-3 + 4 - 3)*(-2 + 0 + 0) + 5 - 3 - 3 + 1 + 0 + 0 - 3 + 0 + 1)*(106*h**2 + 28*h**2 - h**2) as s*h + i + z*h**2 and give z.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25\/867, 2, -2\/5, -5, 84, 5, -2?\nAnswer: -25\/867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let n(f) be the first derivative of 31*f**2\/2 - 3410. Give -5*h(r) + n(r).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - p = -2, 0 = -7*p + 2*p - 10. Let l(g) = -g + 4. Let i be l(n). Solve i = c + 2*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from {q: 3, p: 5, x: 4, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8674*u**2. Let o(t) = 9825*t. Give o(v(q)).\nAnswer: 85222050*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + 0*c)*(1 + 2 - 1 + (3 - 2 + 0)*(-2 - 6 + 1)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 21 + 27 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by 4?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -2*k**2 + 3 + 0*k - 74\/3*k**3 + 1\/12*k**4. Differentiate r(f) with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23342\/3 or -7780?\nAnswer: -23342\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 10*y + 9*y to the form m + s*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4525396296 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*g + 3. Suppose 4*x - 886 = l + 121, -5*x = 5*l - 1265. Suppose -x = 4*u - g*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5552 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/14*14\/((274\/4521)\/(1\/33))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 39*b - 16*b + 1 to the form t*b + y and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 y when four letters picked without replacement from ytyytyyyyt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 213. Is g(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23674307662 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-1120))\/((-4)\/14)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 61*i**2 + 57*i - 149. Give o(-21).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b - 84. Let v = -8 + b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1697 - -9.8303. Which is the nearest to -6\/7? (a) -4 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((61152\/(-51597))\/(12\/(-27)))\/(11*2*2)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*j*y**2 + 138552*d*j - 235*d + 2*j*y**2 - 72*y**2 - 1 wrt j.\nAnswer: 3*d*y**2 + 138552*d + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-170))\/((-9)\/6*-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 + -153. Let o(y) = 1 - 11 - y - y**2 + q*y. What is o(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -833\/2 - -2503\/6. Let f = -0.004 - 6.996. What is the closest to f in -2, v, 0.5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.14494t in nanograms?\nAnswer: 69144940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 7*l + 2. Let i be m(7). Suppose 2*u + 5*h - 5 = 0, 0*h + 2*h - 2 = i*u. Factor s**3 + u*s**3 + 5*s**2 + s**2 + 2*s**3 - 3*s**4.\nAnswer: -3*s**2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (3 + 4 + -45).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, l: 1, o: 4, n: 3, a: 2}. Give prob of picking 1 n, 1 l, and 1 a.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 100. Let z be h(-15). Let p = 111 + z. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*i + 2 = -18, -2*i - 12 = 2*j. Let y be j\/(((-6)\/(-9))\/(-1)). Suppose 44 = 5*q + y*l, q - 5*q + 22 = -2*l. Solve 2*w - q*w = -20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 0*b - 3*b)*(-2*b**3 + b - b).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15199 < -15191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526269951.\nAnswer: 457, 661, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39643, 39611, 39583, 39559?\n\"Answer: 2*w**2 - 38*w + 39679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648174914?\nAnswer: 2, 23, 877, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 30*y**2 + 136*y - 117. Determine n(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/4 (c) -0.01 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -11789216?\nAnswer: -117892160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000349668 to 5 dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*a**3*p**3 - 699*a**3*p - 2*a*p**2 + 11*p**3 wrt p?\nAnswer: -1440*a**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (-4 + sqrt(325)*2) - (2 + -1*sqrt(325)))**2*5*-3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2084, 3775, 8356, 17273, 31972, 53899, 84500?\n\"Answer: 241*o**3 - o**2 + 7*o + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*g - g. Let d(o) be the third derivative of 1\/120*o**6 + 0 + 1\/6*o**4 - 34*o**2 - 1\/3*o**3 + 0*o + 1\/12*o**5. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1303 + 1308. Solve -2*j + 4 = c*b, 3*j - 6 = -b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/4)\/m)\/(m**(-2\/3)*m)*(m\/((m\/m**(-2\/3))\/m))**(2\/91)*m*m\/m**(-2)*m**(2\/5)*m**(1\/5)*m**5 assuming m is positive.\nAnswer: m**(57461\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvq when three letters picked without replacement from {v: 3, q: 4, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - 11398\/1025 - 25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -5*s - 25, 0 = -s + 3*f - 16. Put 7, s, 1, 3 in decreasing order.\nAnswer: 7, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/12)\/s)**(-1))**(-24) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 791 - 796. What is the third biggest value in d, 2\/15, 126?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 2879646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - 2*a + 10. Let j(t) = 3*t**3 - t + 7. What is 8*j(b) - 5*l(b)?\nAnswer: -b**3 + 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3 - v**3 - 4*v + 4 + 0*v**2 + 4*v**2. Let f be z(3). Let r be -2 + (-3 - 9\/(-2)). Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8462851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2385 divided by 691\nAnswer: 2385\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 710 = 3*h, -6*i + 535 = -3*i + h. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-33)*246\/246.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*z**4 + 2*z**2 - 1 - 9520*z**3 + 9520*z**3 + (z + 2*z + 0*z)*(2*z**3 - 3*z + 3*z).\nAnswer: 169*z**4 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*z**2 + 446*z**2 + 98*z**2 + 1 + 20*z**2 - 61*z**2.\nAnswer: 627*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*n = -4*p + 10, 3*n - 13 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 25. What is m(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551637568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 3. Let s = h + 3. What is the nearest to s in -2\/7, -3, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/99 or -108?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 585?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7336 + 1179 - 1079 = -402*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 44 = -5*v + 454, 4*a + 20 = 0. What is the remainder when v is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a day in minutes?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from krvfrqquv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -87512 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*h**2*w + 18*b*h**2 - 2*b*h + 3*b*w + 21*b - h**2*w + w wrt h.\nAnswer: 2*b*w + 36*b - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57297 or 55785?\nAnswer: 57297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 + 22*c - 1. Let x be l(3). Suppose 82 + x = 3*i. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70667.96 micrograms?\nAnswer: 70667960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -79\/5 (b) -0.04 (c) 0.8 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2964 is divided by 609.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14214354757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -5*9\/(-30)*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 39*p + 65. Let k be n(21). Which is the smallest value? (a) 5 (b) -1\/34 (c) -6 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-4) + 17\/4. Suppose -5*c + 16 = 2*y + 58, c = -6. Sort 1, a, y in increasing order.\nAnswer: y, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 58.96285ng?\nAnswer: 0.00005896285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5\/9 + 88*c**4\/9 + 3238*c**3\/9 - 10460*c**2\/9 + 328*c\/9 + 13936\/9 = 0.\nAnswer: -26, -1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*a + 119 = 0, 46*a + 42 = 2*y + 48*a. Solve 3 = -3*p - 3*b, -5*p + 5*b + y = 18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-12 + (12 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:46 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6.38. Let c = 2.37999841 + k. Round c to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c - 15. Let t be j(5). Let b(g) = -3*g**3 + 3*g - 4. Let y be b(0). Sort t, 8, y.\nAnswer: y, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 204?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*u**6 - 2*u**3 - u**2.\nAnswer: -8520*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 185712 = 37*f. Let b = 137095 - f. Suppose b + 14809 = u. What is u rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*r**3 - 43 + 43)*(-r - 3*r + 2*r).\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -18155 - 54919. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71023.\nAnswer: 71023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63 - -40)*2102\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:01 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j. Suppose 2*i = 4*b + 1686 + 630, 5*i + b - 5834 = 0. Let q(o) = -i + 1166 - 4*o. Determine q(p(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**3 + 19*v**2 - 21*v. Let z(y) = -10*y**3 - 24*y**2 + 23*y - 1. Calculate -5*i(r) - 4*z(r).\nAnswer: 10*r**3 + r**2 + 13*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -308, -752, -1196, -1640, -2084, -2528?\n\"Answer: -444*f + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*n = -118, 2*j + 3*n - 50 = n. Suppose -8*y - 8 = -j. Let g be (0 - y)\/(((-8)\/(-2))\/(-4)). Solve -2*l = -g*b, l = -0*l + 2*b - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 - 31375911*t**2 - 82037362987173*t - 246111806578401 = 0. What is t?\nAnswer: -5229317, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60871 = 94*x + 82*x + 69847 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*f**2 + 148882*f**3 - 205*f**2 + 173*f**3 - 192*f**2.\nAnswer: 149055*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q**2 - 28*q - 360. Let d(z) = -65*z**2 + 143*z + 1800. Let n(h) = -2*d(h) - 11*o(h). Factor n(f).\nAnswer: -2*(f - 20)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5200395 is divided by 2297?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -11*x - 8. Solve -5*z = x*a - z, 0 = a + 5*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczrctccztcrzhirrtr. Give prob of picking 1 r and 1 h.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**8\/2016 + c**7\/84 - c**6\/10 + 13*c**5\/45 + c**4\/3 - 4*c**3 + 24*c**2. Suppose q(s) = 0. Calculate s.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35295 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13840 - -5859. List the prime factors of d.\nAnswer: 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + q - 4*q)*(-2 - 2 + 0)*(8 + 5 - 1)*(-1 - 1 + 4) + (-6 + 0 - 5)*(4*q + 2*q - 4*q).\nAnswer: -214*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/11)\/(144000\/(-74250)).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 614.9 + -619.9. What is the second smallest value in -0.98, q, -2\/9, 3?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44584, -44605, -44644, -44707, -44800, -44929, -45100?\n\"Answer: -c**3 - 3*c**2 - 5*c - 44575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o. Suppose 0*s - 3*s - 4005 = o. Let j be ((-6)\/9)\/(1\/s). Round j to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-153))\/((-4)\/(-30)*(-145)\/87)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(80) + sqrt(5) + (sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(5)) + -4 + sqrt(5))**2 - (sqrt(80)*2 + 5)*2.\nAnswer: 2*sqrt(5) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/9 + 109784*c**3\/9 - 499142068*c**2\/3 - 250846230088*c\/9 - 10441599997298\/9 = 0. What is c?\nAnswer: -83, 27529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -340 - 1635. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477 - -473. Let y(s) = -5*s**3 - 3*s**2 - 3*s + 3. Let b(c) = -4*c**3 - 2*c**2 - 2*c + 2. Calculate g*y(o) + 6*b(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05209737 rounded to five dps?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ssqsssqs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -6, 11, 30, 51, 74?\n\"Answer: y**2 + 12*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 946430 and -139.21.\nAnswer: 946290.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4347*y**2 - 2639*y**2 - 4 + 7643*y**2 + 7.\nAnswer: 9351*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 141, -4, -2, -278 in decreasing order.\nAnswer: 141, -2, -3, -4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 5. Determine y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -x, 3*r + x - 1 = 14. Suppose r*n - 4 = 6. Suppose -n*f + 32 + 8 = 0. What is the highest common divisor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/339472 and 19\/1402054.\nAnswer: 549605168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 30*s - 36, 36*n - 35*n + 1 = -2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -1398, -2081, -2752, -3411, -4058, -4693?\nAnswer: -5316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167317 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 249*t**2 - 24*t + 1. What is the hundreds digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 30 - 12*z - 1\/3*z**3 - 13\/2*z**2. What is the remainder when 33 is divided by a(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-286)\/48)\/(13\/(-2)). Is 1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*n - 3. Let q = n + 2. Solve o - 8 = -q*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14.3. What is the third biggest value in 5\/3, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 16)*(7 + 122\/(-14)). Suppose -2*o + 7*o = 5. Let q be o\/(-4) - 42\/j. Let z(p) = -2*p**2 + 9. Let u(r) = r**2 - 4. Determine q*z(x) - 5*u(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925.8533ml to litres.\nAnswer: 0.9258533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 24*q - 606. Calculate x(19).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44330 - -5?\nAnswer: 44335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from {h: 4, w: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 14*s**2 + 4. Let f(k) = -k**3 - 1. What is 4*f(m) + i(m)?\nAnswer: -m**3 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63997933.\nAnswer: 109, 587137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/3 + 6. Let w(d) = 7*d. Calculate n(w(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74661\/20 - 14557\/4. Let u = q - 94. Which is the second smallest value? (a) 0.8 (b) -0.5 (c) 0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3840 and 150.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286471, 572863, 859255, 1145647, 1432039, 1718431?\nAnswer: 2004823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*s - 3*m + 30, -4*m - 4 = -2*s + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 671120.6 nanograms?\nAnswer: 671.1206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5917*n - 94675. Calculate c(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g - 8. Let l(f) = -8*f - 9. Let d(q) = 5*k(q) - 6*l(q). What is the derivative of d(h) wrt h?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 - (1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-25)*2\/4*(-48)\/((-1680)\/(-35))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 6*r - 10*r + 4, 2*r = 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 1. Let l be f(1). Let z = -4 - -7. Sort -1, z, l in descending order.\nAnswer: z, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {p: 4, s: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 122, 164, 226, 302, 386, 472, 554?\n\"Answer: -j**3 + 16*j**2 + j + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/11 - 122*m**2\/11 + 236*m\/11 = 0. What is m?\nAnswer: 0, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec70 - 2?\nAnswer: -ec72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700 by 140.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 838, 853, 868, 883, 898, 913?\n\"Answer: 15*p + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 992372740 a multiple of 9543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -68 - 111*j**2 + 19*j - 115*j**2 - 10 + 225*j**2. Calculate v(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4147 and 3330998?\nAnswer: 43302974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584) + (0 + sqrt(1584) + -1 - sqrt(1584)))**2 + sqrt(1584) + -1 + -5 + ((-5 + sqrt(1584)*2)*4)**2*-5)*-5.\nAnswer: -95940*sqrt(11) + 2536510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 298*h**2*w**3 - 6041*h**2*w + 2*w**3 + 152473*w - 1 wrt h.\nAnswer: 596*h*w**3 - 12082*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13431212 divided by -6715606?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let f = -16 - -16.2. What is the closest to -1 in -2, f, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*m - 25 = 0, 5*b = 2*b + m - 10. Let x(l) = l - 3. Let w be x(4). Let g(c) = 2*c + 0*c - w - 4*c + c. Determine g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2074604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 2*i - 1686 = -8*h, 5*h + 4*i = 4188. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 - 3458 = 6*j. Let m = -435 - j. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28553, 5, 22, 3.\nAnswer: -28553, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*f**5 + 2*f**4 - 52*f**2 - 678001*f wrt f?\nAnswer: -7560*f**3 + 24*f**2 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2080390 and 10.\nAnswer: 2080390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(192)*-4)**2 + 4 + sqrt(75).\nAnswer: 5*sqrt(3) + 3271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*n + 5 + 6, 4*n + 6 = 5*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -487, -1837, -4079, -7213?\n\"Answer: -446*z**2 - 12*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 952 and 1737077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45357 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, 0, -0.00939 in decreasing order.\nAnswer: 2\/9, 0, -0.00939, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*g - 4 + 2 = 0, -21 = -3*p - 3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8477 and 2653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d + 9 = 153. Let t = 253 + 92. Suppose -t = -d*b + 951. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2786 - 91990\/33. Find the common denominator of k and -113\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2\/(12\/15). Which is the second smallest value? (a) 5 (b) 3 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9268 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869 and 1501.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1652?\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**4 - 2*q**2 - q - q**4 + 4 + 0 - 6 as h*q**3 + a + o*q**4 + k*q + c*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 2)*(q - q - 2*q + (4 + 2*q - 4)*(3 - 1 + 0)) + (3*q - 5*q + q)*(-1 + 0 + 0) to the form o*q + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = -5*f, -2*f + 0*f - o + 13 = 0. Suppose -40 = -f*d + 480. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 178*y + 8308. Determine t(220).\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-75) - 352\/1155*(-2 + -3 - -6). Determine j so that -52\/21*j**2 - 8\/3 - q*j**3 + 110\/21*j = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a**7 + 0*a**3 + 1\/30*a**5 + 0*a**6 - 5\/336*a**8 + 0*a**4 + 0*a + 0 - 6*a**2. Find the third derivative of n(d) wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -9. Which is smaller: h or -27\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 1 + 4087*m**3 + 6*m**2 - 4 - 3908*m**3 - 4*m**2.\nAnswer: 179*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28316 + 28320. Suppose 2*j + 5 = 7*j. Solve -j = -q + 2*f - 2, t = 2*q - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Suppose -i*s + 16 = 6. What is the lowest common multiple of 7 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/10))**(3\/5))**(1\/28) assuming c is positive.\nAnswer: c**(3\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10461 - m**2 + 0*m**2 - 10463. Let t(z) = -6*z**2 + z - 10. Determine 11*c(w) - 2*t(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 2*n**2 - 2*n + 2. Let f be (-5 - (-8)\/2)*2\/2. Let s(u) = -u**3 - u**2 + u - 1. What is f*h(l) - 2*s(l)?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201230171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 630, 629, 628, 627, 626?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 i, and 1 c when four letters picked without replacement from qhhccnnihooq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-949)\/(-65) + -14)\/((-264)\/165)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96545281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2498 = -43*o + 45*o. Is o a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5840 + 5711. Let c = 231 - 100. Let w = c + n. Solve 2*o - 3*s + s + w = 0, 5*o - 7 = s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-1)\/1 - 4). Suppose 0 = -3*p - g - 12, 232 - 259 = 4*p + 5*g. Sort t, p, -1 in decreasing order.\nAnswer: -1, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 21100110?\nAnswer: 21100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 - 2175*s**2 + 174546*s - 172368 = 0 for s.\nAnswer: -798, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 6. Let j = 1 - w. Let p = 13 + j. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:37 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 14636*b - 351825. Give u(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430158348 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 70\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 11}. Give prob of sequence ll.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 9*i - 11. Let b be r(-4). Solve b*d + 12 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 13*g + 10. Let h be (((-5)\/(-1))\/(-10))\/(2\/(-28)). Let p(n) = -2*n**2 + 9*n - 7. Calculate h*p(k) + 5*c(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 20732831, -2\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvxh when four letters picked without replacement from vyhtx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 + a**2. Let c(v) = 4*v - 6. Let j(b) = 6*b - 8. Let u(s) = 4*c(s) - 3*j(s). Calculate u(q(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3519 = -29778*r + 29547*r + 4992 + 23136 for r.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q*q**24)\/(q**21*q*q**(3\/2)) assuming q is positive.\nAnswer: q**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232871 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 10\/6)*-3. Suppose -m + k = m. Suppose -4*h = 2*j - 76, 0 = m*h - h - 3*j - 33. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396930001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-5)*(-50)\/20. Let k(i) = -5*i - 13. Let y be k(b). What is y rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26100\/(-875)*(-28)\/6. Which is greater: j or 139?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(136)\/(sqrt(16)\/sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190206*y**4 + 61*y**2 + y - 1638.\nAnswer: -4564944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 69*j + 377. What is f(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -67, -83, -115, -169, -251, -367, -523?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = w, 5*w + 72 = 4*r. Let k = -8214 + 8211. Let p(s) = -3*s**2. Let i(n) be the first derivative of n**3\/3 - 1. What is k*p(j) + w*i(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:11 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 63. Suppose 22*n - 11 = t*n. What is the second derivative of 25*q**5 - 40*q - 38*q**5 + n*q wrt q?\nAnswer: -260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484545*x + 19*x**2 + 484545*x.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**7\/168 + 13*p**6\/120 - p**5\/16 - 13*p**4\/24 + 5*p**3\/6 + 528*p**2. Let t(c) = 0. Calculate c.\nAnswer: -1, 2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -72 - i**2 + 38 + 42 - 13*i + 2*i**2. Determine c(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:10 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.7 - 35. Suppose -6*m + m = 0. Let l = 107\/765 - 1\/153. Which is the third biggest value? (a) m (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 69?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713932702 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**38\/g*g*g\/g**(-2\/73))**(-3) assuming g is positive.\nAnswer: g**(-9204\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -19*w**2 - w - 5. Let o(d) = -d**2 - d + 1. Let y(u) = 4*o(u) - t(u). Let k be y(-7). Suppose -5*m = -4*j - j - k, -5*m - 3*j = -733. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121243141103 + 1?\nAnswer: -121243141102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581585 is divided by 10203?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*n + 99, 2*p + 3*n + 0 - 49 = 0. Calculate the highest common factor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g - 8 = 2*w, -5*w = 5*g + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10895504 + -217858323\/20. Let m = 2584 - s. Find the common denominator of 47\/210 and m.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1600*c**5 + 1814*c**4 - 15780*c**3 + 10666*c**2 + 1652*c + 48 = 0.\nAnswer: -4, -3\/32, -1\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.12, 0.07?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2714 + 2716. What is the nearest to s in -3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = -54. Let h = 56\/3 + x. Let r(y) = y**2 + 3*y - 2. Let i be r(-3). What is the biggest value in i, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5970 and -39\/79505.\nAnswer: 94928970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmooogtommgjhmo. Give prob of sequence jgt.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 + 77*v**4 + 95*v**3 - 1001*v**2 - 255*v = 0. Calculate v.\nAnswer: -17, -5, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-11 - -5) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -692645.\nAnswer: -692644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3243 - 1982. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22787 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: Let x be 1 + (1\/(-1) - 1). Let y be -2 + 2 + x - 1. What are the prime factors of (-24)\/(-3) + y - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 12 (c) 3 (d) 0 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + 36*x - 27. Calculate b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/19 - 1038*q\/19 - 18036\/19.\nAnswer: -2*(q + 18)*(q + 501)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 2*sqrt(119)*6 - sqrt(119))\/((sqrt(70)*2 + sqrt(70) - sqrt(70))\/sqrt(10)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125.767 decades in years?\nAnswer: 11257.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3857457968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1072 and 395155012?\nAnswer: 1580620048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y + 20 = -83*y. Solve -y = 4*a + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*o + 10 = -0*t, 4*o = 5*t + 22. Let w be (-18)\/6 + 3 + (t - -1). Let u(i) = -238*i + 2. What are the prime factors of u(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 4, i: 10}. What is prob of picking 1 i and 2 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Let i(k) = -k**2 + 6*k + 4. Let v be i(b). What is the derivative of 1 - v + 2*o + 1 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-9) + (-4)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113\/2 + -58. Let i = -2\/547 - -1655\/3829. Which is the biggest value? (a) i (b) o (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141.8 + 129. Let j = -13 - x. Is j >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 12) to base 16.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 64*z**4 + 39*z**2 - 3.\nAnswer: 60*z**2 - 1536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 - 244*w + 23653\/3.\nAnswer: -(w - 31)*(w + 763)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 20. Calculate the remainder when c(14) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 87*u**2 - 1094*u - 1073. What is z(12)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 + -8) - 7) + 6 - (-15 + 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008010524 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 2*g**2 + 51*g + 115. Let f be o(-7). Solve 2*p = -f*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3\/7 + 669*o**2\/7 - 831*o\/7 + 166\/7 = 0. Calculate o.\nAnswer: 1\/4, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-362)\/(-8) - (-5)\/(-20). Let f be (2\/6)\/((55\/j)\/11). What is the third smallest value in f, 1, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 352? (a) -0.4 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {d: 4, t: 3, b: 3, y: 6, p: 2, l: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let s(q) = -3941054*q. Give s(y(m)).\nAnswer: 3941054*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 21 = -5*q, -g + 2*g - 1 = 0. Does 47 divide (q\/(-10))\/(1\/(-2220)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57924 + -144076. Round z to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 4*a + 21*a - 5. List the prime factors of p(8).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * 14.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, 114, 98, 64, 6, -82, -206, -372?\n\"Answer: -x**3 + 3*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.3, 0.02, -0.24, 1 in descending order.\nAnswer: 1, 0.02, -0.24, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 16. List the prime factors of p(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = h - d, -54*d = -51*d - 9. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - z**2 + 0*z**2 + 27*z + 4982*z**2 - 5000*z**2 + 107*z + (-1 + 4 - 2)*(0*z + 0*z + z**2).\nAnswer: -18*z**2 + 134*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105*-6*5\/(-30). List the prime factors of (-9 + k\/14)\/((-6)\/1376).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 2*g**2 + 854*g - 424*g - 430*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4604 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxvsmxsvxsvms. Give prob of picking 2 v and 1 m.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose 0 = 2*w - v + 6*v - 32, -w + u*v = 6. Let i = 0 + 3. Calculate the lowest common multiple of i and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1240.35 + 136.95. Round k to the nearest ten.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/64)\/(2\/(-8)) - (1 - 16). Let r(w) = -w**2 + 11*w + 16. What is r(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -668500 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*c**5 + c**2 + 2 wrt c.\nAnswer: -8340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.8 + 159. Let t = v - 206. Let o = 17 - t. What is the nearest to -1 in o, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/60 - 5*n**4\/12 + 2*n**3\/3 - 2*n**2. Let u be w(-8). Is (-6)\/8 - (-1155)\/u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 951*p - 953*p + 0*p**2 + 6*p**2 to the form b*p**2 + z + h*p and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135395 by 6.\nAnswer: -135395\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -990*n**2 - 2*n + 46. Let u(r) = 993*r**2 + 2*r - 32. Determine -2*t(f) - 3*u(f).\nAnswer: -999*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84838516.\nAnswer: 2, 7, 3029947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2269167?\nAnswer: 3, 101, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 20435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -5*p - 2*t, -20*p + 3*t + 99288 = 99156 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 178*g**2 - 163*g + 1217. What is z(-88)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1.4, -1, -2\/29, -7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1, -5, -2\/11, 1\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*52\/65.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -114\/7, -15\/4, 2, 0 in increasing order.\nAnswer: -114\/7, -15\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1600 is divided by 118.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/17? (a) 1 (b) -1 (c) -4 (d) -6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2653 = j - 5*i, -6*j = 4*i - 5*i - 15744. Is j a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4789*k**4 + 37*k + 3 - 4793*k**4 + k**3 - 38*k to the form s*k + o*k**2 + b*k**3 + m + z*k**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15547803, 31095616, 46643429?\nAnswer: 62191242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-33925)\/(-1150) + ((-2)\/(-8))\/((-3)\/(-6)) and 1413?\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001229 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031717 + -1.\nAnswer: -0.968283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58805 is divided by 243?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1165.1 + 1165. Which is the nearest to h? (a) 44 (b) -3\/4 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11849 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(15\/1035). Let h = y - 25. Calculate the remainder when h\/6 + (-417)\/(-9) - -1 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, o: 1, b: 2, z: 4}. What is prob of sequence zbb?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(2788*m**5 - 10715819*m + 10715819*m).\nAnswer: 5576*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 84*t + 1683. Let h be o(-20). Let l(y) = 2*y - 15. What is l(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.07\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/6 - (-208)\/24. Let p be 3\/(-5) - 14\/(-35). What is the third biggest value in p, 4, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*t**3 + 5355*t**2 - 58*t - 9738912.\nAnswer: -12*t**2 + 10710*t - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-825)\/(-40))*-4*3\/(-8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88430486 by -9634.\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7728.56 and -5722.219.\nAnswer: -13450.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, -0.3 in decreasing order.\nAnswer: 5, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a decade in months?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(9\/4))\/a**(3\/11) assuming a is positive.\nAnswer: a**(-67\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173b1db (base 14) to base 8.\nAnswer: 53507775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**43)\/c*c)\/c)\/c*c*c*c**42\/c)\/((c\/c**(-1\/8))\/c**(6\/7)) assuming c is positive.\nAnswer: c**(-71\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24e8 + 0?\nAnswer: 24e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 12*q**2 + 1. Let g be y(-12). Let h be -3*-2*g\/3. Is 67*(-3)\/(-6)*h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548) + 3*(sqrt(2548)*-1 + sqrt(2548) + sqrt(2548) - sqrt(2548)))\/((sqrt(256) - (sqrt(256) - sqrt(256)*-1))*-5).\nAnswer: 7*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662, 4, -2, 0, -3.\nAnswer: -662, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 14}. What is prob of picking 3 z?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0108 times 2.7?\nAnswer: 5.42916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*m + m. Let a be -66*m\/4 - 12\/8. Solve 2*c + 3*c - a = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/8)\/(13420\/19520)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-104)\/(-24))\/13)\/(222\/36).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3243642 meters in nanometers?\nAnswer: 324364200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236, 1225, 1214, 1203?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 + (-11 - -6) - -28 - 12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1702134 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146536 = 3*t - 11*t. Suppose 7*b = -6*b + t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 24*v**2 + 30*v - 13. Let p(w) = -w**3 - 6*w**2 - 2*w + 4. What is the lowest common multiple of u(25) and p(-6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + t**3 - 3*t**3)*(-6*t**2 + 3*t**2 + t**2) + 48*t**5 - 356*t + 356*t + 500*t**2 - 253*t**2 + t**5 - 270*t**2.\nAnswer: 45*t**5 - 23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/25 - 1453\/1275. What is the common denominator of i and -61\/68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8.8. Let i = -64 + 63. Which is the nearest to 0.4? (a) i (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10663 is divided by 3520?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 39*u - 1 = p, 2*u + 4*p = -4. Suppose 4 = -s + 2. Sort u, s, -7, -3 in descending order.\nAnswer: u, s, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 5, l: 1, r: 1}. Give prob of sequence zz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-20)*n*n)**(6\/5)\/(n**(-2))**(-19\/2))**(2\/15) assuming n is positive.\nAnswer: n**(-382\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 - 7*s + 3. Let g be c(7). Let q(v) = -v**2 - v - 4. Let z(y) = -y - 3. Let b(w) = g*z(w) - 2*q(w). What is b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)\/j*j\/(j*j\/j**(-44))*j*j**(2\/139)\/j*j*j**(-9\/4) assuming j is positive.\nAnswer: j**(-131871\/2780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134622 is divided by 67293?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t = 106*t + 69*t - 844 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4603768 meters to nanometers.\nAnswer: 460376800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.2 + -41. Let a = 3.8 + k. Sort -2\/7, a, -0.1 in increasing order.\nAnswer: -2\/7, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -8, 0.12, -2, 2\/35, 1\/7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 47839283956718\nAnswer: -47839283956715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h + 273*h - 1124 = -56*h. Let q(t) be the third derivative of 1\/120*t**6 + 0*t - 1\/24*t**h + 6*t**2 - 1\/2*t**3 + 1\/20*t**5 + 0. Factor q(a).\nAnswer: (a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.9. Let q = -0.02 - -0.62. Let n = q - 1. Which is the third smallest value? (a) d (b) n (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -46. Which is the second smallest value? (a) j (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 divided by -5?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1637, -3276, -4915?\n\"Answer: -1639*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (sqrt(891) + -4 - sqrt(891)) - (sqrt(891) + -4 + -3 + sqrt(891))).\nAnswer: -18*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52339\/4422 + -2\/737. Let j be 1 + -4 + 422103\/(-54). Let k = -7813 - j. Find the common denominator of m and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 18*s + 276252. Let t = s + -15628. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/6 - (-158)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37019131 and -311?\nAnswer: 37018820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -3*(2 + -8)\/2. Suppose -i*x - 28*x + 26010 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*g**3 - 2236*g**2 + 398*g + 2596 = 0. Calculate g.\nAnswer: -59, -1, 22\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, k: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101589744 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 9. What is the units digit of d(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57294 + 258903 = 43*s - 253460. Is s a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180095 less than 180093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/7 + 4*q**4 - 120*q**3\/7 + 208*q**2\/7 - 128*q\/7.\nAnswer: -2*q*(q - 8)*(q - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.2423mm in centimeters?\nAnswer: 11.22423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 1. Let b be o(1). Let n(i) = i**3 + 4*i**2 + i + 2. Calculate n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110315 (base 10) in base 9?\nAnswer: -177282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197215392.\nAnswer: 2, 37412981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -444812913.\nAnswer: -444812914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15.45. Let c = 0.15 + s. Let x = -0.4 - -1.4. Sort x, c, 0 in increasing order.\nAnswer: c, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.201 - -5661?\nAnswer: 5661.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 45. Solve 4*z - 4 = -z + 2*g, -k = 4*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 76.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 5. Give q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 4*i. Calculate the least common multiple of t(-6) and (-72)\/(-7) + (-28)\/98.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2310\/(-20) - -30)*(-3 + (1 - 0)). Solve -j*z = -181*z - 70 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -60, -2, 0, 3.\nAnswer: -60, -2, -2\/11, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 3*w + 2 = -5*h + 21, 4*h + 60 = 14*h - 5*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, h: 2, x: 1}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 23126*v - 324034. What is s(14)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/(sqrt(8) - sqrt(48)\/(-5*sqrt(6))) - 4*-5*sqrt(30)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: 3025\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 11889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j**2 + 3*j**2 + (-1 - j + 1)*(0*j + 2*j + 0*j) + j**2 - 3 + 3)*(4 - 3*j - 4)*(0*j**2 + 0*j**2 - 2*j**2).\nAnswer: 18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -68, -106, -144, -182, -220?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6 - 299\/46.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1 + 5)*6)**2.\nAnswer: 1728*sqrt(13) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4)*(-4)\/(-5). Let n = 1.36 - -1.64. What is the nearest to -1 in n, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*3\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2112 and 3784?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(95)*3)\/(sqrt(40)\/(sqrt(64)\/sqrt(8)*-4)).\nAnswer: 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644355?\nAnswer: 3, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*((-60)\/70)\/(9\/(-7))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12078966*v**3 + 142824*v**2 - 100*v wrt v?\nAnswer: 72473796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 5, -12, 182.\nAnswer: -12, -6, -3, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1055, -3, -3\/7, 22, 5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15793, 33577, 51361, 69145, 86929, 104713?\nAnswer: 122497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42135092 times 2?\nAnswer: -0.84270184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 1241*a + 1239*a - 18, 37*a - 11 = 2*s + 40*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 150? (a) 1 (b) 1\/17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 11 - 1. Let p be ((-9)\/1)\/(0 + 1). Let j = z + p. What is the biggest value in j, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -30*r - 2. Let i(w) = -2*w. Determine -28*i(g) + 2*j(g).\nAnswer: -4*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 41. Suppose -q*v + 2 - 330 = -4*h, -20 = 4*v. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 130 = -80. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1818 + 9947. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 5*r + 3. Let j be v(-3). Let y be ((-32)\/(-6))\/4*12. Suppose -y = -5*x + x. Solve j = h + 2*h, -h = x*q - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-228)\/(-48) + -4)*((-91)\/13 - 2)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 24*s + 7. Let i(q) = 23*q + 6. Calculate -4*c(b) + 5*i(b).\nAnswer: 19*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:37 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 2*u + 3. Let z = -33 - -30. Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 7. Let m be b(-3). Let w = 6 + -4. Let p(c) = 0*c - c**w + c + 2 + 4*c. What is p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 645 + 255*s**2 - 645 to the form a*s**2 + c + k*s and give a.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2099, -2603, -3107, -3611?\n\"Answer: -504*a - 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) + sqrt(45))\/((sqrt(1296) - (sqrt(1296)*-1 - sqrt(1296))) + sqrt(1296) + sqrt(9)).\nAnswer: -3*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*v - 1021 + 113, 0 = -3*v - 6. Suppose 0*r - p = -6*r. Let o = -14 + r. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j - 1\/3*j**3 + 0 - 3\/2*j**2. Is v(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63962291 - 42163871. Let o = p + -14398423. Let q be (-3 - -5) + -5 - o. What is q rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1147\/253 - -47\/11. Let j = -47\/92 - r. Let l = -14 - -16. Which is the nearest to 0.1? (a) j (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(90)\/(-3*sqrt(3)))\/(sqrt(54)*1 + sqrt(54)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = -4. Suppose -5 = -q + 1. Suppose 2 = g + 5*a, 5*g - q = -5*a + 4. Sort 0, g, l in descending order.\nAnswer: l, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*r = 46, 47*r - 49*r = 3*c + 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3 + 255*s**2 - 4572*s + 4320 = 0.\nAnswer: 1, 24, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/7)\/(-5 - (-59095)\/11865). Which is smaller: -89 or l?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303.257402977 + 34.257410447. Let m = o - -269. What is m rounded to seven dps?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*b - 7*b**2 + 33*b + 1 to the form z + x*b + i*b**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162632315 to the power of 1\/2, to the nearest integer?\nAnswer: 78502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4601 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + 11. Let n(x) = 5 - 11*x + 1287*x**2 + 1287*x**2 - 2573*x**2. Let m be n(o). Solve -d - 7 = 2*p, 3*d - m*d = 2*p + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.248 (b) 0.3 (c) -6\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 1585*r + 6260.\nAnswer: 5*(r + 4)*(r + 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**9\/504 + h**5\/60 - h**2\/2 - 3. Let d(m) be the second derivative of q(m). What is the third derivative of d(s) wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.92795*0.024\nAnswer: 0.0222708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 58534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*p = -3*o - 150*p + 27, -2*o - p = -18 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrreeee. Give prob of picking 1 e and 2 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 56\/4303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 + 7 - -94) + (-3 - (-19 - (-1 + 0))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121652 is divided by 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1408\/24)\/44*14\/(-12)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1658 divide 20244180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*b - 5*b + 28*b**4 + 3*b - b**3 wrt b?\nAnswer: 336*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-980)\/(-100) - 368\/(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(495) + sqrt(495)*3*-3)\/(sqrt(11) + sqrt(33)\/(sqrt(3)*4))*4.\nAnswer: -1152*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-8 - (-15 + 1)) - -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 445\/79722 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(26))\/sqrt(1568) - (sqrt(78)*-4*-1)\/((sqrt(864) - -1*sqrt(864)) + sqrt(6)).\nAnswer: -103*sqrt(13)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241519907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 10 - 8. Suppose -5*a = c - 48, 0 = -p*c + 4*c - 6. Let l(z) = -z**2 + 8*z - 8. Determine l(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8. Which is the closest to 0? (a) -0.1 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1864 + 1859. Let f(q) = -13*q**2 - 64*q + 11. Determine f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1886 = -6*z - 1712. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 3. Let w be b(-4). Let t = w - 6. Is t > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1071*h + 5339. Let o be n(-5). Let t(i) = -9*i - 119. Calculate t(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7909957 - -0.2013.\nAnswer: -12.5896957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5307, 3, 0, -1 in descending order.\nAnswer: 7, 3, 0, -1, -5307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 11*b - 6. Suppose 6*u - 12 + 6 = 0. Let h be u\/(1\/(-1 - -8)). What is the tens digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 144*a - a - 1077875. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4134 or -4112?\nAnswer: -4134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9077*k - 1317. Is l(40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -949 + 1381. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*g**2 + 15*g**2 - 98*g**2)*(-3*g**3 - 4*g**3 + 0*g**3 + (g**2 + 2*g**2 - g**2)*(-5*g + g + 3*g)).\nAnswer: 351*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 149, 2, 0.5 in decreasing order.\nAnswer: 149, 2, 0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(162) + sqrt(162)*-2.\nAnswer: -9*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110111101100110 (base 2) in base 4?\nAnswer: 1132331212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.3 (b) -1.8 (c) 32 (d) 4\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 840*c + 28841. Calculate n(-36).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7)*6*-5)**2 - (3*(sqrt(5)*-1 + 2))**2.\nAnswer: 36*sqrt(5) + 4419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 615254931 a multiple of 4881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 2*v - 187. Suppose -2*p = -0*c + 3*c - 122, 0 = -5*c + 2*p + v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/60*42 + 5\/(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lidaidagjiga. Give prob of picking 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*p + t = -8 - 740 + 99, -3*t - 32 = -35 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 41. Calculate the remainder when (w\/(-6))\/((-14)\/(-210)) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -27) + 70 + -60.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2\/9, 4, 3\/4 in increasing order.\nAnswer: 2\/9, 3\/4, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 9*f**2 - f - 9. Let m be x(-9). Let k be (-8)\/1*4\/32*4. Let w(d) = -d**3 - 6*d**2 - 7*d + 7. Let b be w(k). Sort m, b, -1, 13.\nAnswer: -1, m, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439799 (base 14) to base 11.\nAnswer: 1326636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 7595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -808 != -809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 66*t - 9208. Determine i(144).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548 and 71942.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/16)\/((-28)\/(-112))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.28956167 to 3 decimal places.\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. Let t(m) be the third derivative of m**4\/12 + m**3\/2 - m**2. Let i(q) = 3*q + 4. Let g(h) = -3*i(h) + 4*t(h). What is g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -29*h + 40. Suppose -3*s - 7*r + 854 = -h*r, 5*r = -5*s + 1425. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + -202?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - ((-29)\/(-15) - -2). Let i = w + 17\/6. Let t = -6.8 + 7. Which is the smallest value? (a) i (b) t (c) 2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 - 32*r**3 + 53*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(400)\/(sqrt(32)\/sqrt(4)) + sqrt(50) + sqrt(600)\/(sqrt(24)\/sqrt(2)))\/(sqrt(490) - (sqrt(490)*2*-4 - sqrt(490))).\nAnswer: -3 + 3*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:18 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and 89\/375?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 - -207. Let y = 202 + i. Let q = -72 + y. Is q smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(8\/(-63))*2 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(120)\/sqrt(160)))\/((sqrt(64)\/sqrt(2))\/sqrt(8) + 2*sqrt(196)).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*s + 3. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16))**(-20)\/((o**3\/o)\/(o*o\/o**(-3\/14))) assuming o is positive.\nAnswer: o**(4483\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(-11))**49*(((k**(-8)\/k*k)\/k)\/k**(-1\/6))\/((k*k*k**(-2\/9)\/k)\/k**(-1\/17)) assuming k is positive.\nAnswer: k**(326909\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 90 = 9*c. Suppose 4*p + 30 = 4*j + 6, -3*p + 5*j - 26 = 0. Calculate the smallest common multiple of ((-3)\/(-1))\/3 - p and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**7\/70 - h**6\/20 - h**5\/20 - 3*h**2 + 6. Let k(b) be the second derivative of r(b). Find d such that k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(-2*sqrt(104) + sqrt(104) - sqrt(104)))\/sqrt(8) + -5.\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.13 (c) 7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19350204 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(15\/(-6)*(-20)\/25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 145*m. Let a(x) = x**2 + 8*x**2 - 9*x**2 + x**2 - 2*x**2. Calculate z(a(q)).\nAnswer: -145*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -443, -441, -439, -437?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4587 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, -56.81, -0.5, -4\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -638 - -475.5. Let l = 162 + s. Let a = -5\/6 - -11\/42. What is the closest to -2\/7 in l, 5, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)\/(1\/2). Let o = -3 + l. Solve -o*x + 4 = 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zchdjtd. What is prob of picking 1 t, 1 j, and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + 3*o**2)*(-1 - 4*o + 5*o - 16*o - 2*o**3).\nAnswer: -6*o**5 - 45*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8981956 millimeters to nanometers.\nAnswer: 898195.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b + 3. Let z = -2\/2845 + -71113\/17070. What is the common denominator of r(-5) and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08266*21\nAnswer: 1.73586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67889.\nAnswer: 29, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2081*i**3 - 20*i**2 + 3*i + 22.\nAnswer: -12486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 - f**4\/3 - f**3\/3 - 3*f**2 - f. Suppose 2*y - 3*p = -y, -4*p - 4 = -3*y. What is the units digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 0.4, 0.5 in descending order.\nAnswer: 14, 0.5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 144541821 divided by -2094809\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.0506 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18. Let z = 0.3 - c. Let w = -4 - -3.9. What is the nearest to -3 in z, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 5. Let d = c + -139. Calculate the remainder when 65 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/15 + 6\/900*20. Solve -x - 16 = -4*b, -18*x - t = 2*b - 16*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32475 or -4914?\nAnswer: -32475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 185861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 109.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 13839*p - 248785. What is n(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3562 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332041063.\nAnswer: 3581, 92723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h - 37*h = 45675000. Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -51*r + 11. Let y be k(-7). Suppose 3*p - 5*b - y = 226, 0 = 2*p + 4*b - 374. Let v = p - 89. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbffbbbffwfifq. Give prob of picking 1 b and 1 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1241234001003?\nAnswer: 1241234001004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 16882.08 to the nearest 10.\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103946 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: Let -3*q**5 - 32782899*q**4\/4 - 29853326260425*q**3\/4 - 9061892601769608975*q**2\/4 - 29450910263900907375*q\/4 - 11327244473404468125\/2 = 0. What is q?\nAnswer: -910635, -2, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36a (base 12) to base 10\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6589 is divided by 1052.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -473, -475, -477, -479, -481?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126826 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v**2 + v. Let p be b(1). Let c be 46\/p + 9\/15. Let y = 11 + c. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92804060 to the nearest integer?\nAnswer: 9633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2, 0.3, 195?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53925267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*(-6)\/9 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 12*p**2 - 107*p + 96. What is b(-11)?\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by -27\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/23 and -42\/745.\nAnswer: 17135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - -26?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/40)\/(46\/23)*-6*-4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 884\/26 + 44\/(-154)*-49?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:14 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 294.57.\nAnswer: 294.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 15 + 8 = -4*v - n, -v = -5*n + 20 + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10688448\/7 or 1526920?\nAnswer: 10688448\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 129 = -7*z + 95. Which is the fifth biggest value? (a) z (b) -1 (c) 0.2 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/3 - 7*j**2 + 40*j + 50. Give i(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -43.1. Let d = -16 + 17.2. Let l = d - x. Round l to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 6*t - 120. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00115438 to 5 decimal places.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -13*t**4\/12 - 19*t**2\/2 - 4. Let b(c) be the second derivative of v(c). Let w(u) = 2*u. Give b(w(k)).\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.172 in 6, -3, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.81 - 4.81. What is the second smallest value in 53\/7, 2\/13, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158750 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1758\/3179, 1\/5, -3, -0.4, 2\/37?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*x**3*y - 36*x**3 + 64*x**2 + 731*x*y + 9585*x wrt x?\nAnswer: -366*x*y - 216*x + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 0*w**3 + 11*w**3 + (-1 + 1 - 3*w)*(-1880*w + 1880*w - 138*w**2) in the form c*w**2 + k + x*w + o*w**3 and give o.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -3*h**3\/2 - 9*h**2 + 5*h. Let j be d(-14). Calculate the highest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75 + 2\/2 + -2. Suppose 3*a - q = -20. Solve -a - 2 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 15.9.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10856 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 + 61. Let n = 45 + l. What is the units digit of (n\/(-3))\/(2008\/(-402) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - s**2 + 1. Let y be (4 - (1 + 1)) + -1. Let p be m(y). Solve 12 = -6*u + p*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70460, 4, -5, 3 in increasing order.\nAnswer: -5, 3, 4, 70460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165986*y**2 - 167009 wrt y?\nAnswer: 331972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5643511356 - 5643511356 + 21*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, 22, -3\/8 in ascending order.\nAnswer: -3, -3\/8, 1\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -13312.379.\nAnswer: -13307.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 2*i - 1. Let p be o(-2). Suppose -39 - 45 = -p*a. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-56) + -1 - 1. Let m = k + -3\/14. What is the second biggest value in 5, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14\/381 (b) -1.9 (c) -7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 21974428*u - 65923320 = 0. Calculate u.\nAnswer: -3, 5493610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 55. Suppose -24 = 4*j - 2*p, 4*j + j = -2*p - o. Is 8 a factor of (40\/j)\/(1\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:10 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*l - 321*l = -113*l - 2400 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19.16. Let k = n - -3.16. Which is the nearest to k? (a) 0 (b) 5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112 - -115) + (6 - 12 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-4)*(-16)\/12. Let y = o - 1. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ooooouoouooouooo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -849743\/74 - -11483. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68 from 0.27.\nAnswer: 68.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1555, 1559, 1567, 1579, 1595?\nAnswer: 1615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -85. Let w = l - 55. What is the remainder when 38 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3))**13)**1 assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 12*l**2 - 10*l + 10. Let w be m(-11). Sort -5, 4, w in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazzadzzaa. What is prob of picking 1 a and 1 d?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324543392, 324543391, 324543390, 324543389, 324543388, 324543387?\nAnswer: 324543386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -13) + (38 - (28 + 15)) - -20\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*r - 74, 5*o - 2*o = -r + 17. What is the greatest common divisor of 126 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 242035856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 143 = -51 + 38 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u + 32. Is b(18) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 0.1\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-4)*(12 + 4\/((-14)\/196*4))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/22308 and 71\/286.\nAnswer: 22308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0493 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 440245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in -0.02, -3\/4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97421 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 197446 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**0))**14*b**5*b*b*b**(3\/2) assuming b is positive.\nAnswer: b**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1352*j**2 - 4469 wrt j?\nAnswer: 2704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5*n + 6. Suppose 2*w - 20 = -2*a - 2*a, -a - 1 = -w. Let g be w + -2 + (-8 - -1). List the prime factors of r(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 9433237.\nAnswer: 2\/9433237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -22*p**2 + 49*p + 12. Determine c(5).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133)*1 - sqrt(133)) + sqrt(133) + sqrt(133))\/(-4*sqrt(7)*-2) - (sqrt(209)*1*-3)\/((sqrt(11) - sqrt(33)\/sqrt(3))*6 + sqrt(11)).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 778316 and 1415120.\nAnswer: 15566320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 5*i**2 + i**2 + 4*i**2 - 3*i**2 + (0*i - 3*i + 4*i)*(3*i + 3*i - 4*i) + 65*i**2 - 12*i**2 + 36*i**2 in the form p*i + v*i**2 + n and give v.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let w(j) = -4*j - 4. Let n(a) = w(a) - 3*y(a). Suppose -27 = 5*i - 2. Let u be (24\/30)\/(1\/i). Calculate n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 5*n - 3, 0 = -5*n. Is 2 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2213408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/360*2490 + 2*1\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1145, -820, -447, -26, 443, 960, 1525?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -710, -1277, -1724, -2057, -2282?\n\"Answer: -p**3 + 66*p**2 - 758*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/20? (a) 1\/6 (b) -3 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 14, -2\/11, 2, 8\/5, 2\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471\/1900 + -1\/475. Let u = -5.8 + -0.2. Let h = -0.82 - -1.02. What is the biggest value in g, h, u, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-15)\/30 - 1)*-414 is divided by 83?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.92003591 to 4 decimal places.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w - 3*w + (4 - 4 - 1)*(-2*w + 4 - 4))*(w + 4*w + 2*w).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*b - 4*g - 10, 3*g = -4*b + 9. Let u = 18 + 92. Let q = -103 + u. Calculate the smallest common multiple of b and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 + 7215*b**4 + 2503515*b**3 - 71694595*b**2 + 455229600*b + 529420500 = 0.\nAnswer: -735, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-2)*((-3)\/2)\/(189\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -509\/7. Suppose -10 = -3*w - 55. Put k, w, -4 in ascending order.\nAnswer: w, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*c = -3, -3*g - 2*g - c + 17 = 0. Let i(y) = -2*y + 21. What is the smallest common multiple of i(5) and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*m + m - 10, 0 = k + 2*m. Let q(j) = 1 + 2*j + 7 - 3 - j**2 + 2*j. What is the units digit of q(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1349 by -1141.\nAnswer: -1349\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456.380068 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*f + 2193 = 0, -3*q + 456 = -2*q - 5*f. Suppose -8*u + 2177 = q. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8121 + 1270. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 + 0 = 3*a, -x = -3*a - 12. What is the remainder when 38 is divided by 10 + x - (-2 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = -n. Let v(j) = 0*j**2 - 5*j**2 + 4*j**n. Let g(l) be the third derivative of -l**4\/12 + l**2. Calculate g(v(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2788, 1085, -1\/6?\nAnswer: 1085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -4\/5*y + 1\/10*y**4 - 1\/5*y**2 + 13 + 4\/15*y**3. Factor x(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 19*x**7\/1260 - 3*x**6\/20 - 13*x**5\/30 + 57*x**2. Let n(p) be the third derivative of w(p). Differentiate n(d) wrt d.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 126*a + 506. Calculate l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r + 1. Let i(b) = -b**3 - b**2 - b + 1. Let h be 0\/2*(-2)\/6. Let z be i(h). What is the remainder when 29 is divided by o(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a - -b58?\nAnswer: bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -148522 and -148529 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5 - (123\/12)\/(91\/(-52)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2547876036 - -11.0912.\nAnswer: -2547876024.9088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 - 1\/2*j**3 + 3\/2*j**2 - 1\/12*j**4 - 3*j. Let x be b(-3). Solve -a + x = -3*n, n + 4*a + 2 = 14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -8*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i - 25*i - 540 + i**2 - 11*i + 50*i.\nAnswer: i**2 - 2*i - 540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115\/6 (b) 10\/84897 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 + 5*t**2 + t - 4*t**2 - 6*t**3 - t**4 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:35 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d**2)*(2*d - 2*d + d**3) + (-5*d**4 + 0*d**4 + 3*d**4)*(2*d + 3*d - 3*d) + 0*d**5 + 2*d**5 - 3*d**5 - 124*d**5 + 147*d**5 - 388*d**5.\nAnswer: -372*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u*u**(2\/5))*(u*u\/(u*u**(-5))*u)\/u**(-2\/3))\/(u**(1\/4)\/(u*u**(-4)\/u*u)*(u**1)**(-2\/19)) assuming u is positive.\nAnswer: u**(11539\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5\/4)\/x)\/(x**1\/x))\/(x**0)**(19\/4))\/(x**(-3\/10)\/(((x**(-2\/41)\/x)\/x)\/x))**(-2\/3) assuming x is positive.\nAnswer: x**(-1027\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 722, 1083, 1444?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 5 - (-1 + 3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 - 0)) + (12 - (33 + -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 2*c + 6. Suppose 0*r = -2*r. Suppose -30 = -5*q - 3*z + 4*z, r = -q - z. What is i(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15329295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*r**3 + 7*r**2 + 62*r**3 + 32*r**3 + 6 + r in the form l + m*r**2 + f*r + j*r**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6710*m - 190. Let f be j(-11). Round f to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12455 times -32886\nAnswer: -409595130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gciccggggigcgcccgcc. What is prob of picking 1 i and 1 c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*b - 3481 + 3481)*(-4*b - 2*b + 5*b) in the form p*b + g + m*b**2 and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.154 + -678.346. Let b = x - -679. What is the nearest to 1\/5 in b, -0.28, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-6))\/((-3)\/9). Let j be ((-10)\/3)\/(w\/(-24)). Solve 0*a - j*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 greater than 266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 51*a**2 + a - 9. What is i(51)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3838 - -5517. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-2 - 2\/1). What is the tens digit of s - 1\/2*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*y - 14*k - 30*y - 5 wrt y?\nAnswer: -k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w - 17. What is the units digit of a(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v + 3 = 0. Let p(n) = -6*n**4 - 4*n - 1. Let i(q) = 5*q**4 + 3*q. Let h(k) = v*p(k) + 4*i(k). Find the first derivative of h(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 6*m + 7. Determine q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13695 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 22*z - 4. Let m(r) = -r**2 + 21*r - 5. Let k(q) = 5*h(q) - 4*m(q). Find the second derivative of k(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 545021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 28*b - 215.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, 1\/392, 8, 0.1, -5?\nAnswer: 1\/392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.6 (c) 0.3 (d) 4 (e) 0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = -1. Let j = q + -22. Let f = j + 14. Solve 0 = 5*v - f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and 3524.\nAnswer: 3559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56962 is divided by 11322.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8. Suppose 41*a + 163 + 202 - 201 = 0. Let g(j) = -j - 16. Determine a*g(i) + 7*r(i).\nAnswer: 4*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 493624555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -823468, -823469, -823470, -823471, -823472, -823473?\n\"Answer: -y - 823467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.08 + 20.08. Which is the third smallest value? (a) -2\/9 (b) -1\/5 (c) p (d) -79 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163762487?\nAnswer: 7, 41, 570601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c - 1. Let y = 0 + -1. Let s(f) = f**2 + 5*f - 1. Let t(q) = y*s(q) + 5*m(q). Determine t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347175897.\nAnswer: 17, 31, 773, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 2\/7, -4, -5, -1 in increasing order.\nAnswer: -5, -4, -1, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3353344 and -73\/8?\nAnswer: 3353344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 1. Let i(g) = -49*g + 8. Let k(u) = -i(u) - 5*m(u). List the prime factors of k(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*q - 188, 0 = 2*g + 4*q - 3*q + 85. Let a = g - -168. What is the remainder when a is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9910 - 9909.5. Let h = -17 - -67. What is the closest to h in r, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315.29 + 320. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 0*d)*(d - 3*d**4 - d) - 12*d**5 - 3*d**5 + 2*d**5.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {u: 3, p: 8}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n + 0 + 5*n + 0 in the form p*n + o and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 22*n + 9 in the form j*n + b and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 22. What is the remainder when (-5 + 0)*(0 - 5) is divided by (78\/r*-1)\/((-4)\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 5, p: 1, l: 4, q: 3}. What is prob of picking 2 n, 1 l, and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.79 and -25.\nAnswer: -894.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 - 14*d - 46. Let x(m) = -m**2 - 3*m - 9. Let r(v) = 2*w(v) - 11*x(v). Let o be (3\/(-3))\/((-1)\/(-7)). What is the units digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) + (-2 + sqrt(200))**2.\nAnswer: -28*sqrt(2) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(41\/123).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from hhmmhaaahhhmmh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - -2103?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 819756194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, 2, -54.\nAnswer: -54, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 470*t - 15445. What is j(33)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/48 - (-1)\/(-3) and (171\/(-285))\/((10752\/(-1610))\/12).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41\/90 + -2\/45. Let s(m) = -m**3 - m**2 + m - 1. Let w be s(-2). Let t = w + -1. What is the nearest to t in h, -3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47007663 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let h be m(-5). Solve 1 + 2 = -h*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Let k(v) be the first derivative of 4\/3*v**3 + 2 + 0*v + 0*v**2 + 5\/2*v**4 - 14\/5*v**u. Determine f, given that k(f) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2375 (base 12) to base 6.\nAnswer: 30225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29*n**3 - 14*n**2 - 20*n + 17. Let d(p) = 6*p**3 + 4984*p**2 + 4*p**3 + 7*p - 6 - 4979*p**2. Calculate -17*d(g) - 6*o(g).\nAnswer: 4*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:11 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -39?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1742128 by -1742128.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 0 (b) 0.5 (c) 9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162495*k - 7*p = 162490*k + 141, -10*k - 2*p = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7090a05 - 3?\nAnswer: -7090a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 1. Let g be r(3). Let z = g + -19. Let x(i) = -i**2 - 7*i - 5. What is x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.0068 (b) -27\/7 (c) 7\/8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 c when three letters picked without replacement from {f: 1, b: 1, c: 6, l: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-80))\/(24\/(-128)*2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22933375 bigger than 22933373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2\/4 - 9*k\/2 - 2.\nAnswer: -(k + 2)*(7*k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -47502?\nAnswer: 474cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 13533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7998 + -6844. What is the remainder when b is divided by 282?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 94, 104, 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12) - 134\/3. Let r be 1\/(-2) - (a\/6 - -7). Suppose x**2 - 1\/2*x**5 + r + 0*x**3 + 1\/2*x - x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 6*w)*(-2 + 4 - 1) + (3*w + 0*w + 2*w)*(3 - 5 + 3).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -331*p - 314. What are the prime factors of c(-60)?\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 17. Let g be (4 - 1)*p*(-4)\/36. Solve 3*n - g - 14 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 118*a - 345. Determine n(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1880*u + 1845*u + 350 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -7*c + 1840. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.671883ug?\nAnswer: 3671.883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 13 = j - 5*j, 0 = -2*j + 2*a + 2. Let k(i) = i**2 - 6*i + 6. Let o be k(j). Let n be (-1 - o) + 0 + -1. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100338929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 39885.912 to the nearest 10.\nAnswer: 39890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 18*y + 49. Suppose -59*k = -55*k + 5*z + 31, -5*z = -5. Calculate b(k).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-730))\/((-87)\/14442). Let k = 19\/2 + -1391\/146. Let s = m + k. Which is the biggest value? (a) -5 (b) s (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(30)\/sqrt(10)) - sqrt(85)\/sqrt(5)*-4) + (2*1*sqrt(68)*2)**2.\nAnswer: 5*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 110 = 2*v + 2*f, 4*f = 0. Suppose 56 = o + 2*g, 2*o - 2*g + 5*g = v. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228513 and 1336263?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxgd when four letters picked without replacement from {x: 4, q: 5, d: 2, g: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 + 0 + 19368*u**2 - 4 - 19365*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let z(f) = 603*f. Give z(n(y)).\nAnswer: -1206*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206166002?\nAnswer: 2, 7, 1223, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696 = 512*n - 1104 + 752 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384.17 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 93. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + z = -3*z - 31, -2*z - 13 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-2) + 0 + -2. Let i(n) be the second derivative of n**5\/20 + 2*n**4\/3 + 4*n**3\/3 + n**2 + 266*n - 3. Determine i(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3513 and -3618 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14240 (base 10) to base 3\nAnswer: 201112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/75 and 33\/52900?\nAnswer: 158700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*w - 183 = -251 + 2102 + 866 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-7)\/(-28)*12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 20. Suppose -m + 2*y = 4*y - 54, -v*m - y + 202 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164671*q**5 + 4*q**3 + 1677515*q**2 wrt q?\nAnswer: 9880260*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2\/5 - 4*c + 24\/5 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocccoccccc. What is prob of picking 1 o and 2 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 p when three letters picked without replacement from qpppppppppppp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**(1\/9)\/((k*k**1)\/k**(-2)) assuming k is positive.\nAnswer: k**(-106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.2617 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2*j + 8, -6 = 9*j - 11*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.28, -0.6, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocavmz. What is prob of picking 1 c and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 670967993\/1354 - 495545. Calculate the common denominator of -53\/7 and j.\nAnswer: 9478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08334 and -419.\nAnswer: -418.91666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(5\/(-50)). Let d = -3.7 - -3.7. Which is the nearest to -2\/3? (a) x (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.212 + -0.788. What is the nearest to h in -2\/105, 0.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19718685 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/504 + 13*w**6\/1080 - w**5\/60 - 32*w**3\/3 + w**2 + 3. Let k(n) be the first derivative of d(n). Factor k(m).\nAnswer: m*(m + 3)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363189 = 38*l + 2*l - 30331. List the prime factors of l.\nAnswer: 2, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 144, 175, 200, 219, 232, 239?\n\"Answer: -3*s**2 + 40*s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o. Let r be -1*4\/16*0. Suppose r = -5*u + 12*u - 7. Sort 2, o, u in descending order.\nAnswer: 2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -20. Suppose 0*h = -2*h - 3*l, 0 = 2*h + 5*l - r. Let n = h - -3. Which is the second biggest value? (a) n (b) 6 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 0 (c) -4 (d) 3 (e) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/5 + 54*u + 268\/5 = 0?\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6647 = -4*h + 3*m, 0 = h + 2*m + m - 1643. Let n = -902 + h. Suppose -9*z + 630 + n = 0. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1638 (base 9) to base 8\nAnswer: -2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 11. Let a be k(-4). Let q be -4 + (a + 14 - 0). Solve 3*j + 8 = -q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 + 7*p**3 + 0*p**2 - 9*p**3 - 4*p**3 - 51*p**3 - 16*p**3 + (-2*p**2 + p**2 - p**2)*(1 - 1 + 2*p) - 4*p**2 - 2*p**3 + 4*p**2.\nAnswer: -79*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*f + 19, -2*f - 3*q + 21 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9420.92m to centimeters.\nAnswer: 942092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1344011 - 1340?\nAnswer: -1400401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f\/((f\/f**(1\/4))\/f*f))\/f)\/f)\/f)**(-35)*(f**(-3)*f)\/f*f*f**(1\/5)\/f)**(-25\/3) assuming f is positive.\nAnswer: f**(-5845\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16499 + -65999\/4. What is the nearest to -3\/16 in 1, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1416\/32*(-8)\/(-3). Suppose 0 = -5*f + 3*l - c - 157, 0 = -5*l. Let x = f + 51. Let g(o) = o**2 - 3*o - 4. What is g(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:14 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, -3, 1, -10886 in descending order.\nAnswer: 1, -1, -3, -36, -10886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**4\/5 + 4*t**3\/5 + 32*t**2\/5 + 28*t\/5 + 6\/5 = 0. Calculate t.\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 14*k - 11. Suppose 0 = -21*j + 22*j + 18. Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(8))**2) + -5 + sqrt(2) + (sqrt(242)*-1)**2 + ((sqrt(128) + sqrt(128) + 1 + sqrt(128))*5)**2.\nAnswer: 1202*sqrt(2) + 29054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101010011101001001 (base 2) to base 14\nAnswer: -47533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.5. Let v = 1 - 3. Is u > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168066 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-3 - 2 - 2)*(o - 2*o + 3*o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10826963 + 6974073. Let v = -6352890 - y. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -186080?\nAnswer: 7\/186080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450811 (base 14) to base 8.\nAnswer: -10743777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38586115, -38586114, -38586113?\nAnswer: -38586112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d**2 - 3*d + 4. Suppose -y + 2*j + 1 = 0, -3*j = -3*y - 0*y - 6. Calculate w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (-1809)\/63)\/(2 + 18\/(-11)).\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + -136352?\nAnswer: -136224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (579\/(-120) - (-4 - 1))*-22 and 11\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3738*m**3 + 3747*m**3 + 2*m**2 + 2*m - 2*m + m**2.\nAnswer: 9*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96225 + -8490497.\nAnswer: -8586722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -580 - -580. Is x >= 2\/16803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026454 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose 3 + 2 = v, 2*n + 14 = 4*v. Let o = -30 + 26. Which is the closest to r? (a) 0.4 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34905443 divided by 51559?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnypo. Give prob of picking 1 y and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 12, u: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407777.\nAnswer: 3, 7, 43, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {h: 2, o: 4, m: 2, d: 5, r: 1, s: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 9*u**2 - 10*u + 3. Let o be f(-10). Suppose o*b + 21 + 33 = 0. Let m = b + 97. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*q - 25. Let h = -6 + 6. Suppose 4*z = 4, -j + h*j - q*z = 11. Which is greater: j or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2086126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150233594461 and -0.1.\nAnswer: -150233594461.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 118, 191, 284, 403, 554?\n\"Answer: a**3 + a**2 + 49*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*t + 34 + 226*t + 70 + 77 - 181.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/124? (a) 5 (b) -5 (c) -2226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 328.99999 + -329. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {o: 12, m: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40919409 and -5.95.\nAnswer: -40919414.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3138\/348318)\/(2\/(-12))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 807545 and 11.\nAnswer: 8882995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 + -143. Let t(o) = o**2 + 2*o - 1. Let i be t(1). Suppose 9 = i*k - z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 - 12)*(-2*b**2 - 2*b**2 + 2*b**2) - 2*b + 2*b - 2*b**2 + 0*b**2 + 0*b**2 - 2*b**2 - b + 2*b**2 + b + (b + 1 - 1)*(-b + 0 + 0) + b**2 - 4 + 4.\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 12*l**2 + 81*l + 38. Calculate k(10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1077463 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 46\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 28 = 13*l. Suppose -l*i = -2*w + 9 - 193, 3*w + 274 = 4*i. Let z = 97 + w. Calculate the remainder when 20 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:30 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62\/335 - 1\/67. Let u = -0.2398 + 0.0378. Let f = u - 0.298. Sort y, f, 2\/13 in descending order.\nAnswer: 2\/13, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1242114412 + -4?\nAnswer: 1242114403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11481385 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = 10. Suppose 0 = -6*t + 7*t + u. Is -1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -739, -1 in ascending order.\nAnswer: -739, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330941?\nAnswer: 13, 25457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.5 (c) 2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(832) - ((sqrt(832) - -3*sqrt(832)) + sqrt(832))).\nAnswer: 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(114)*2 - sqrt(114)) + sqrt(114) - sqrt(114)))\/sqrt(6))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 76.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225372.\nAnswer: 2, 113, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 14*i - 14. Let l(t) = t - 1. Let u be l(2). Let f be a(u). Let b be ((-8)\/(-10))\/(4\/50). What is the highest common divisor of b and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04108 and -0.3.\nAnswer: 0.012324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) -2\/3 (c) 1.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 107. Let j(g) = 2*g - 54. Give 5*j(v) + 3*q(v).\nAnswer: v + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7*d**(-4))**(-32) assuming d is positive.\nAnswer: d**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 3. Let z be g(2). Suppose n - 12 = -3*n. Let u = n + -13\/3. What is the fourth smallest value in 9, z, u, -5\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7815)\/(-3126)*4\/(-45).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1377888 + -143025. Let z = -537913 - u. What is z rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 3*p - 22. Give d(-5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 + h. Let t be (-2)\/1 - (-6 + 1). Let y = 4 - t. What is the remainder when 34 is divided by w(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200474 is divided by 200152.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - t - 14. Let w be h(0). Let q be 4\/(-14) - 74\/w. Let b be 0\/((-1 + 0)*-2). Solve -2*a + b*v + v = -q, -4*a + 5*v = -1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from iibiifijinibnbniiii?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2121)\/1414*9\/6*6\/189.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is bdd01 (base 15) in base 12?\nAnswer: 251424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7330515?\nAnswer: -2\/7330515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18387 and 865551.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 221*x - 27 - 1 - 186*x as o*x + j and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41011826 and 4.\nAnswer: -41011822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**6 + 1\/10*k**5 + 0*k**3 + 5\/7*k**7 + 5\/6*k**4 + 0*k**2 + 36*k + 0. Find the third derivative of g(q) wrt q.\nAnswer: 1800*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352 or 344?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose h - 4 = -2*j. Let y = 0 + j. What is the smallest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from jqqqqxxqg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1031749836 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0*t**4 + 0*t**3 + 0*t**2 - 33*t + 0 - 1\/10*t**5. Factor p(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-16 - ((-1573)\/11)\/13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**4 + 11*a**4 - 30*a**4 + (-1 + 1 + 2*a**2)*(-166 - 3*a**2 + 166).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z**2 + 5*z**2 + 20*z**2)*(-5*z + 4*z + 5 + 0*z).\nAnswer: -39*z**3 + 195*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - (6 + 0 - (0 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 329508824 rounded to the nearest one hundred thousand?\nAnswer: 329500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 + 0 - (-333 - -327)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2134dc (base 15) to base 10\nAnswer: 1580607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + y + 7, 4*y = 2*u + 2 - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/1184 + 9229\/10656. Suppose 0*c + t*c**2 + 0 - 10\/9*c**3 + 2\/9*c**4 = 0. What is c?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1\/2 + 380\/152.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2 - 410*v - 21012 = 0.\nAnswer: -103, -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014571 is divided by 17518.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 427.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 203230?\nAnswer: -203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*s - 69*s - 335*s**2.\nAnswer: -335*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7028 <= 7029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -325, 2\/11, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18735, -18734, -18733, -18732, -18731?\nAnswer: -18730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttwtwwvvt. Give prob of sequence vtwv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 - 4*f - 8. Suppose -8 = -4*y + 3*l + l, 3*y - 2*l = 11. Is g(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**2 + 10. Let c(f) = -3*f**2. Determine n(c(a)).\nAnswer: -81*a**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5))**(-39)\/(q**(1\/6)*(q**11*q)\/q) assuming q is positive.\nAnswer: q**(-569\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(0*f**4 - 2*f**4 + f**4) - 192*f**4 + 361*f**4 - 184*f**4.\nAnswer: -19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20178\/299 + -1538\/23. What is r in -2\/13*r**2 - 10\/13*r - a = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1899115.\nAnswer: 1899115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 177 = -3*u. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m - 2. Determine k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13.64291 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74066 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(3 - 3 + 3*z) + (2*z + 0 + 0)*(4 + 3 - 4).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6871b + -1?\nAnswer: -b68720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892699823?\nAnswer: 3, 7, 31, 47, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199\/4 + -449\/10. Find the common denominator of 6\/(-2) + 22\/32 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 15*r**2 - 7*r - 47. Let q(d) = -7*d**2 + 3*d + 24. Let s = 74 - 71. Let i(l) = s*a(l) + 7*q(l). What is the derivative of i(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + t. Let s be 2\/8*32\/(-8). Let f be m(s). Let p be (-7 - (f - -2)) + (-34)\/(-6). Sort 0.2, -4, 0.06, p in increasing order.\nAnswer: -4, 0.06, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2 - 11\/4*h - 1\/4*h**2.\nAnswer: -(h + 1)*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 27*z - 17976. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 2, a: 2, c: 3, u: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95383.35 millilitres?\nAnswer: 95.38335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 12?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y + 8*y, -16 = -w + 4*y. Let m(a) = 108*a**2 + 21 - w + a**3 - 120*a**2 - 15*a + 5. What is m(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*x**2 - 626 + 214*x**2 + 12*x**3 - 85*x**2 - 69*x**2 to g*x**3 + a + w*x + t*x**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 11. Suppose -4*t = -8*t - 2*p + 20, 0 = -3*t + 5*p - n. Suppose -4*i = 4*w - 124, 4*i + 64 = -t*w + 187. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31316?\nAnswer: 2, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 2, -0.02, -0.017, -2?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*j + 44, -6*j = -4*c - 4*j + 36. What is the remainder when 17 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 1325*j + 1495. Let u(h) = -5*h**2 - 1325*h - 1460. Let z(p) = -4*m(p) - 5*u(p). Factor z(c).\nAnswer: 5*(c + 1)*(c + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90606.8074 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 167020769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.67, 0.058, -39?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in decades?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.46 < -14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.21 - 1.245. Let x = o + 0.03500401. Round x to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 2*y - 2*y)*(12 + 7*y - 12 + (0 - 1 + 2)*(0*y + 3*y + y)*(1 + 3 - 3)).\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 76. Let u(n) = -n - 2. Let r(p) = 17*p - 16. Let o(z) = r(z) + 5*u(z). Let j be o(5). Let h(y) = j*y - 34*y + y**2. Calculate a(h(x)).\nAnswer: -2*x**4 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*a - k, -4*k = -a + 1541 - 1544 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 191. Suppose -5*a - 2*y = -98, -a + 0*y - 2 = -5*y. Let f = -18 + a. Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2*(-3)\/8. Suppose b - 17 = -5*p - 23, -4*b + 5*p + 26 = 0. Sort b, -3, f in descending order.\nAnswer: b, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 14*i**2 + 45. Does 18 divide u(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11002 - 10?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -22*g - 2. Let j(b) = -36*b - 5. Let i(k) = -2*j(k) + 5*z(k). Let h(m) = -9*m**2. Give i(h(u)).\nAnswer: 342*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2388474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 5\/4*p - 1\/4*p**2.\nAnswer: -(p - 4)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tddddttattat. Give prob of sequence aad.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*j - 4*j - 4, 0 = -4*j - 5*r - 18. Let v be ((-72)\/j)\/(15\/10). Let y = v - 17. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2 and -73\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31071597, -31071592, -31071587?\n\"Answer: 5*t - 31071602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 68 = c - 3*c, -3*f + 65 = -5*c. Let d(n) = n**2 + 9*n - 8. Suppose 4*m + 5*l = -8 - 7, 10 = -3*m - 4*l. Let b be d(m). Solve -b*h - f = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -904.0926 and -1.9.\nAnswer: 1717.77594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 9*m**2 + 2*m**2 + 2*m**2 + 16*m**2 - 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q - q - 5*q. Let t(i) be the first derivative of 3*i**2\/2 + 8. Give t(j(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + 4. Let a be s*0\/(-2) - -1. Let j(g) = 14*g - 1. Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14029 divided by 3\nAnswer: 14029\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6399949 and -58784?\nAnswer: 6458733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4357 (base 10) to base 4\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0712 to three decimal places.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46284 and 522.\nAnswer: 138852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*o - a, a - 3 = 2*a. Let c be 1\/4*((-60)\/(-18) - o). What is the closest to -1 in c, -1\/2, -71?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + 2. Suppose 0 = -2*b + 2*m + 8 - 0, 2*m + 12 = 4*b. Suppose -3*a + 21 = 5*d - b*d, 5*a + 3*d = 27. Let c = -1 + a. What is v(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21201.245 - -21209. What is d rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/6 - 1\/2. Let y = 838 + -834. What is the nearest to 2 in -0.5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**2 + 5*d. Let t be (-108)\/162 - 32\/6. Let r(g) = g**2 + g. What is t*r(w) + y(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/1617*14\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-17416296.\nAnswer: 12191407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(48)\/(-1*sqrt(3) - sqrt(3))*-1)\/(-2*(sqrt(8) - -1*sqrt(968) - (sqrt(512) + sqrt(512) + 1*sqrt(512) + sqrt(512) + sqrt(512)))).\nAnswer: sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 3*j - 5. What is the tens digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) 3\/2 (c) 10 (d) 3 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.110251us to hours.\nAnswer: 0.0000000172528475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:17 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 15. Suppose -s*j + 3*l = -17, -j + 8*l + 5 = 3*l. Suppose -3*v + j = -44. What is the lowest common multiple of v and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m. Suppose -1 - 5 = 2*p. Let v(b) = -b**2 - b + 4. Let f be v(p). Is u(f) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -6, -6247, -314?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-10 - 2 - (-12 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12273*j + 294552. What is v(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*y - 6. Let i = 48 + -48. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -1\/5*b**6 + 0*b**4 + 0*b**5 + 0*b**3 + 0 - 7\/2*b**2 - 6*b. Differentiate h(r) with respect to r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12327430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -278327 < -278327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**2 - 42*s + 14. Calculate u(9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30824.76 years in centuries?\nAnswer: 308.2476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13671 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -5*w + 22, -3*f - 4*w + 22 = 0. Suppose o - 61 - 53 = -f*k, 3*o + 3*k - 336 = 0. List the prime factors of o.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}